Publications

2024

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

G. Guarino; P. Antolin; A. Milazzo; A. Buffa 

Engineering With Computers. 2024-03-27. DOI : 10.1007/s00366-024-01965-5.

Reduced order modeling based inexact FETI-DP solver for lattice structures

T. Hirschler; R. Bouclier; P. Antolin; A. Buffa 

International Journal For Numerical Methods In Engineering. 2024-01-22. DOI : 10.1002/nme.7419.

Robust mass lumping and outlier removal strategies in isogeometric analysis

Y. D. Voet; E. Sande; A. Buffa 

2024. 

2023

An equilibrated flux a posteriori error estimator for defeaturing problems

A. Buffa; O. Chanon; D. Grappein; R. Vazquez Hernandez; M. Vohralik 

2023-12-26. 

Stabilized isogeometric formulation of the Stokes problem on overlapping patches

X. Wei; R. Puppi; P. Antolin; A. Buffa 

Computer Methods In Applied Mechanics And Engineering. 2023-11-16. Vol. 417, p. 116477. DOI : 10.1016/j.cma.2023.116477.

Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems

C. Manni; E. Sande; H. Speleers 

Computer Methods In Applied Mechanics And Engineering. 2023-11-16. Vol. 417, p. 116314. DOI : 10.1016/j.cma.2023.116314.

Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries

C. Bracco; C. Giannelli; A. Reali; M. Torre; R. Vazquez 

Computer Methods In Applied Mechanics And Engineering. 2023-11-16. Vol. 417, p. 116355. DOI : 10.1016/j.cma.2023.116355.

Analysis-aware defeaturing of complex geometries with Neumann features

P. Antolin; O. Chanon 

International Journal For Numerical Methods In Engineering. 2023-10-31. Vol. 125, num. 3. DOI : 10.1002/nme.7380.

A Shape Derivative Approach to Domain Simplification

J. P. Hinz; O. Chanon; A. Arrigoni; A. Buffa 

Computer-Aided Design. 2023-10-31. Vol. 167, p. 103636. DOI : 10.1016/j.cad.2023.103636.

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

M. Chasapi; P. Antolin Sanchez; A. Buffa 

2023-07-18. DOI : 10.48550/arXiv.2307.09113.

Preconditioning techniques for generalized Sylvester matrix equations

Y. D. Voet 

2023-07-15. 

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

C. Bracco; C. Giannelli; M. Kapl; R. Vazquez 

Mathematical Models & Methods In Applied Sciences. 2023-05-31. DOI : 10.1142/S0218202523500434.

A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Y. D. Voet; E. Sande; A. Buffa 

Computer Methods in Applied Mechanics and Engineering. 2023-05-15. Vol. 410, p. 116033. DOI : 10.1016/j.cma.2023.116033.

Region Extraction in Mesh Intersection

P. Antolin; A. Buffa; E. Cirillo 

Computer-Aided Design. 2023-03-01. Vol. 156, p. 103448. DOI : 10.1016/j.cad.2022.103448.

DeepBND: A machine learning approach to enhance multiscale solid mechanics

F. Rocha; S. Deparis; P. Antolin; A. Buffa 

Journal of Computational Physics. 2023-02-14. Vol. 479, p. 111996. DOI : 10.1016/j.jcp.2023.111996.

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

B. Kapidani; R. Vazquez Hernandez 

Journal Of Computational Physics. 2023-02-09. Vol. 493, p. 112440. DOI : 10.1016/j.jcp.2023.112440.

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

Y. Voet 

Applied Mathematics And Computation. 2023-01-01. Vol. 436, p. 127516. DOI : 10.1016/j.amc.2022.127516.

2022

A localized reduced basis approach for unfitted domain methods on parameterized geometries

M. Chasapi; P. Antolin Sanchez; A. Buffa 

Computer Methods In Applied Mechanics And Engineering. 2022-12-22. Vol. 410, p. 115997. DOI : 10.48550/arXiv.2212.11934.

Adaptive analysis-aware defeaturing

A. Buffa; O. Chanon; R. Vazquez Hernandez 

2022-12-10. DOI : 10.48550/arXiv.2212.05183.

Analysis-aware defeaturing of complex geometries

P. Antolin Sanchez; O. Chanon 

2022-12-06. DOI : 10.48550/arXiv.2212.03141.

The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques

Y. Voet; G. Anciaux; S. Deparis; P. Gervasio 

Computers & Mathematics With Applications. 2022-12-01. Vol. 127, p. 48-64. DOI : 10.1016/j.camwa.2022.09.019.

High Order Geometric Methods With Splines: An Analysis of Discrete Hodge-Star Operators

B. Kapidani; R. Vazquez Hernandez 

SIAM Journal on Scientific Computing. 2022-11-22. Vol. 44, num. 6, p. A3673-A3699. DOI : 10.1137/22M1481762.

Reduced order modelling of nonaffine problems on parameterized NURBS multipatch geometries

M. Chasapi; P. Antolin; A. Buffa 

2022-11-14. DOI : 10.48550/arxiv.2211.07348.

An unrefinement algorithm for planar THB-spline parameterizations

T. Heydarov; A. Buffa; B. Juettler 

Computer Aided Geometric Design. 2022-11-01. Vol. 99, p. 102157. DOI : 10.1016/j.cagd.2022.102157.

An a posteriori error estimator for isogeometric analysis on trimmed geometries

A. Buffa; O. Chanon; R. Vazquez 

Ima Journal Of Numerical Analysis. 2022-10-27. DOI : 10.1093/imanum/drac063.

Mathematical Foundations of Adaptive Isogeometric Analysis

A. Buffa; G. Gantner; C. Giannelli; D. Praetorius; R. Vazquez 

Archives Of Computational Methods In Engineering. 2022-09-30. Vol. 29, p. 4479–4555. DOI : 10.1007/s11831-022-09752-5.

Torque Computation With the Isogeometric Mortar Method for the Simulation of Electric Machines

M. Merkel; B. Kapidani; S. Schoeps; R. Vazquez 

Ieee Transactions On Magnetics. 2022-09-01. Vol. 58, num. 9, p. 8107604. DOI : 10.1109/TMAG.2022.3186247.

Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

B. Kapidani; M. Merkel; S. Schoeps; R. Vazquez 

Computer Methods In Applied Mechanics And Engineering. 2022-05-15. Vol. 395, p. 114949. DOI : 10.1016/j.cma.2022.114949.

Robust numerical integration on curved polyhedra based on folded decompositions

P. Antolin; X. Wei; A. Buffa 

Computer Methods In Applied Mechanics And Engineering. 2022-05-15. Vol. 395, p. 114948. DOI : 10.1016/j.cma.2022.114948.

Ritz-type projectors with boundary interpolation properties and explicit spline error estimates

E. Sande; C. Manni; H. Speleers 

Numerische Mathematik. 2022-05-03. DOI : 10.1007/s00211-022-01286-z.

Quadrature-free immersed isogeometric analysis

P. Antolin; T. Hirschler 

Engineering With Computers. 2022-04-25. DOI : 10.1007/s00366-022-01644-3.

MATHICSE Technical Report : Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains

C. Bracco; C. Giannelli; M. Kapl; R. Vazquez Hernandez 

2022-04-21

TCB-spline-based isogeometric analysis method with high-quality parameterizations

Z. Wang; J. Cao; X. Wei; Y. J. Zhang 

Computer Methods In Applied Mechanics And Engineering. 2022-04-01. Vol. 393, p. 114771. DOI : 10.1016/j.cma.2022.114771.

Quadratic serendipity element shape functions on general planar polygons

J. Cao; Y. Xiao; Y. Xiao; Z. Chen; F. Xue et al. 

Computer Methods In Applied Mechanics And Engineering. 2022-03-15. Vol. 392, p. 114703. DOI : 10.1016/j.cma.2022.114703.

Analysis-suitable unstructured T-splines: Multiple extraordinary points per face

X. Wei; X. Li; K. Qian; T. J. R. Hughes; Y. J. Zhang et al. 

Computer Methods In Applied Mechanics And Engineering. 2022-03-01. Vol. 391, p. 114494. DOI : 10.1016/j.cma.2021.114494.

Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations

C. Manni; E. Sande; H. Speleers 

Computer Methods In Applied Mechanics And Engineering. 2022-02-01. Vol. 389, p. 114260. DOI : 10.1016/j.cma.2021.114260.

Analysis-aware defeaturing: Problem setting and a posteriori estimation

A. Buffa; O. Chanon; R. Vazquez Hernandez 

Mathematical Models and Methods in Applied Sciences. 2022-01-31. Vol. 32, num. 2, p. 359-402. DOI : 10.1142/S0218202522500099.

Adaptive analysis-aware defeaturing

O. G. Chanon / A. Buffa; P. Antolin Sanchez (Dir.)  

Lausanne, EPFL, 2022. 

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

R. Puppi / A. Buffa; R. Vazquez Hernandez (Dir.)  

Lausanne, EPFL, 2022. 

Use of machine learning for unraveling hidden correlations between particle size distributions and the mechanical behavior of granular materials

I. Gonzalez Tejada; P. Antolin 

Acta Geotechnica. 2022. Vol. 17, p. 1443–1461. DOI : 10.1007/s11440-021-01420-5.

Fast and multiscale formation of isogeometric matrices of microstructured geometric models

T. Hirschler; P. Antolin; A. Buffa 

Computational Mechanics. 2022. Vol. 69, p. 439–466. DOI : 10.1007/s00466-021-02098-y.

2021

Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach

L. Coradello; J. Kiendl; A. Buffa 

Computer Methods In Applied Mechanics And Engineering. 2021-12-15. Vol. 387, p. 114187. DOI : 10.1016/j.cma.2021.114187.

Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow

E. Burman; R. Puppi 

Journal Of Numerical Mathematics. 2021-10-18. Vol. 30, num. 2, p. 141-162. DOI : 10.1515/jnma-2021-0042.

Efficient equilibrium-based stress recovery for isogeometric laminated curved structures

A. Patton; P. Antolin; J. Kiendl; A. Reali 

Composite Structures. 2021-09-15. Vol. 272, p. 113975. DOI : 10.1016/j.compstruct.2021.113975.

Immersed boundary-conformal isogeometric method for linear elliptic problems

X. Wei; B. Marussig; P. Antolin Sanchez; A. Buffa 

Computational Mechanics. 2021-08-24. Vol. 68, p. 1385–1405. DOI : 10.1007/s00466-021-02074-6.

Damage-driven strain localisation in networks of fibres: A computational homogenisation approach

F. Figueredo Rocha; P. J. Blanco; P. J. Sánchez; E. de Souza Neto; R. A. Feijóo 

Computers & Structures. 2021-07-17. Vol. 255, p. 106635. DOI : 10.1016/j.compstruc.2021.106635.

BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines

C. Bracco; D. Cho; C. Giannelli; R. Vazquez 

Computer Methods In Applied Mechanics And Engineering. 2021-06-01. Vol. 379, p. 113742. DOI : 10.1016/j.cma.2021.113742.

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

B. Kapidani; L. Codecasa; J. Schoeberl 

Journal Of Computational Physics. 2021-05-15. Vol. 433, p. 110184. DOI : 10.1016/j.jcp.2021.110184.

The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

J. Hinz; A. Jaeschke; M. Moeller; C. Vuik 

Computer Methods In Applied Mechanics And Engineering. 2021-05-01. Vol. 378, p. 113685. DOI : 10.1016/j.cma.2021.113685.

Remarks on Poincare and interpolation estimates for Truncated Hierarchical B-splines

A. Buffa; C. Giannelli 

Mathematical Models & Methods In Applied Sciences. 2021-03-01. Vol. 31, num. 03, p. 525-535. DOI : 10.1142/S0218202521500111.

Heterogeneous parametric trivariate fillets

R. Masalha; E. Cirillo; G. Elber 

Computer Aided Geometric Design. 2021-03-01. Vol. 86, p. 101970. DOI : 10.1016/j.cagd.2021.101970.

A projected super-penalty method for the C1-coupling of multi-patch isogeometric Kirchhoff plates

L. Coradello; G. Loli; A. Buffa 

Computational Mechanics. 2021-03-01. Vol. 67, p. 1133–1153. DOI : 10.1007/s00466-021-01983-w.

Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates

X. Wei; X. Li; Y. J. Zhang; T. J. R. Hughes 

International Journal For Numerical Methods In Engineering. 2021-02-20. Vol. 122, num. 9, p. 2117-2144. DOI : 10.1002/nme.6608.

Accurate equilibrium-based interlaminar stress recovery for isogeometric laminated composite Kirchhoff plates

A. Patton; P. Antolin; J-E. Dufour; J. Kiendl; A. Reali 

Composite Structures. 2021-01-15. Vol. 256, p. 112976. DOI : 10.1016/j.compstruct.2020.112976.

Adaptive Approximation of Shapes

A. Buffa; R. Hiptmair; P. Panchal 

Numerical Functional Analysis And Optimization. 2021-01-06. Vol. 42, num. 2, p. 132-154. DOI : 10.1080/01630563.2020.1870134.

Accurate isogeometric methods for trimmed shell structures.

L. Coradello / A. Buffa; A. Reali (Dir.)  

Lausanne, EPFL, 2021. 

MATHICSE Technical Report: Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems

X. Wei; B. Marussig; P. Antolin Sanchez; A. Buffa 

2021

MATHICSE Technical Report: THU-Splines – Highly Localized Refinement on Smooth Unstructured Splines

X. Wei 

2021

Overlapping Multipatch Isogeometric Method With Minimal Stabilization

P. Antolin; A. Buffa; R. Puppi; X. Wei 

Siam Journal On Scientific Computing. 2021-01-01. Vol. 43, num. 1, p. A330-A354. DOI : 10.1137/19M1306750.

A New Lighting on Analytical Discrete Sensitivities in the Context of IsoGeometric Shape Optimization

T. Hirschler; R. Bouclier; A. Duval; T. Elguedj; J. Morlier 

Archives Of Computational Methods In Engineering. 2021. Vol. 28, p. 2371–2408. DOI : 10.1007/s11831-020-09458-6.

2020

Isogeometric Discretizations of the Stokes Problem on Trimmed Geometries

R. Puppi 

2020-12-30

Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries

C. Bracco; C. Giannelli; M. Kapl; R. Vázquez 

Computers & Mathematics with Applications. 2020-12-01. Vol. 80, num. 11, p. 2538-2562. DOI : 10.1016/j.camwa.2020.03.018.

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

A. Buffa; R. Puppi; R. Vazquez Hernandez 

SIAM Journal on Numerical Analysis. 2020-09-30. Vol. 58, num. 5, p. 2711–2735. DOI : 10.1137/19M1244718.

Hierarchically refined isogeometric analysis of trimmed shells

L. Coradello; D. D’Angella; M. Carraturo; J. Kiendl; S. Kollmannsberger et al. 

Computational Mechanics. 2020-08-01. Vol. 66, num. 2, p. 431-447. DOI : 10.1007/s00466-020-01858-6.

A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties

P. Gervasio; L. Dede; O. Chanon; A. Quarteroni 

Journal Of Scientific Computing. 2020-04-01. Vol. 83, num. 1, p. 18. DOI : 10.1007/s10915-020-01204-1.

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

P. Antolin; J. Kiendl; M. Pingaro; A. Reali 

Computational Mechanics. 2020-03-19. Vol. 65, p. 1621–1631. DOI : 10.1007/s00466-020-01837-x.

Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines

H. Casquero; X. Wei; D. Toshniwal; A. Li; T. J. R. Hughes et al. 

Computer Methods In Applied Mechanics And Engineering. 2020-03-01. Vol. 360, p. 112765. DOI : 10.1016/j.cma.2019.112765.

Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

L. Coradello; P. Antolin; R. Vázquez; A. Buffa 

Computer Methods in Applied Mechanics and Engineering. 2020-02-29. Vol. 364, p. 112925. DOI : 10.1016/j.cma.2020.112925.

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

P. Antolin 

Computational Mechanics. 2020-01-01. Vol. 65, num. 1, p. 135-148. DOI : 10.1007/s00466-019-01756-6.

A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff–Love shells

P. Antolin; A. Buffa; L. Coradello 

Computer Methods in Applied Mechanics and Engineering. 2020. Vol. 363, p. 112919. DOI : 10.1016/j.cma.2020.112919.

Isogeometric Mortar Coupling for Electromagnetic Problems

A. Buffa; J. Corno; C. de Falco; S. Schöps; R. Vazquez Hernandez 

SIAM Journal on Scientific Computing. 2020. Vol. 42, num. 1, p. B80-B104. DOI : 10.1137/18M1235211.

Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis

A. Buffa; J. Dölz; S. Kurz; S. Schöps; R. Vázquez et al. 

Numerische Mathematik. 2020. Vol. 144, p. 201-236. DOI : 10.1007/s00211-019-01079-x.

Hierarchical B-spline complexes of discrete differential forms

J. A. Evans; M. A. Scott; K. M. Shepherd; D. C. Thomas; R. Vázquez Hernández 

IMA Journal of Numerical Analysis. 2020. Vol. 40, num. 1, p. 422-473. DOI : 10.1093/imanum/dry077.

BPX preconditioners for isogeometric analysis using analysis-suitable T-splines

D. Cho; R. Vazquez Hernandez 

IMA Journal of Numerical Analysis. 2020. Vol. 40, num. 1, p. 764-799. DOI : 10.1093/imanum/dry032.

2019

MATHICSE Technical Report : Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization

P. Antolin Sanchez; A. Buffa; R. Puppi; X. Wei 

2019-12-13

A finite element framework based on bivariate simplex splines on triangle configurations

J. Cao; Z. Chen; X. Wei; Y. J. Zhang 

Computer Methods In Applied Mechanics And Engineering. 2019-12-01. Vol. 357, p. 112598. DOI : 10.1016/j.cma.2019.112598.

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

P. Antolin Sanchez; J. Kiendl; M. Pingaro; A. Reali 

2019-10-08

Isogeometric Analysis on V-reps: First results

P. Antolin; A. Buffa; M. Martinelli 

Computer Methods In Applied Mechanics And Engineering. 2019-10-01. Vol. 355, p. 976-1002. DOI : 10.1016/j.cma.2019.07.015.

Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach

A. Patton; J-E. Dufour; P. Antolin; A. Reali 

Composite Structures. 2019-10-01. Vol. 225, p. 111026. DOI : 10.1016/j.compstruct.2019.111026.

Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm

P. Antolin Sanchez; A. Buffa; E. Cohen; J. F. Dannenhoffer; G. Elber et al. 

Computer-AidedDesign. 2019-10-01. Vol. 115, p. 23-33. DOI : 10.1016/j.cad.2019.05.020.

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

F. Massarwi; P. Antolin; G. Elber 

Computer Aided Geometric Design. 2019-05-01. Vol. 71, p. 1-15. DOI : 10.1016/j.cagd.2019.04.005.

Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes

M. Carraturo; C. Giannelli; A. Reali; R. Vazquez 

Computer Methods In Applied Mechanics And Engineering. 2019-05-01. Vol. 348, p. 660-679. DOI : 10.1016/j.cma.2019.01.044.

Adaptive Isogeometric Methods With Hierarchical Splines: An Overview

C. Bracco; A. Buffa; C. Giannelli; R. Vazquez 

Discrete And Continuous Dynamical Systems. 2019-01-01. Vol. 39, num. 1, p. 241-261. DOI : 10.3934/dcds.2019010.

A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis

P. Antolin Sanchez; A. Buffa; M. J. Fabre 

IMA Journal of Numerical Analysis. 2019. Vol. 39, num. 4, p. 1627-1651. DOI : 10.1093/imanum/dry041.

2018

Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines

C. Bracco; C. Giannelli; R. Vazquez 

Axioms. 2018-09-01. Vol. 7, num. 3, p. 43. DOI : 10.3390/axioms7030043.

Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates

A. Buffa; C. Giannelli 

Mathematical Models and Methods in Applied Sciences. 2018-06-01. Vol. 27, num. 14, p. 2781-2802. DOI : 10.1142/S0218202517500580.

A cost-effective isogeometric approach for composite plates based on a stress recovery procedure

J-E. Dufour; G. Sangalli; A. Reali; P. Antolin; F. Auricchio 

Composites Part B: Engineering. 2018-04-01. Vol. 138, num. 1, p. 12-18. DOI : 10.1016/j.compositesb.2017.11.026.

Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method

F. Chouly; M. J. Fabre; P. Hild; J. Pousin; Y. Renard 

IMA JOURNAL OF NUMERICAL ANALYSIS. 2018. Vol. 38, num. 2, p. 921-954. DOI : 10.1093/imanum/drx024.

Hierarchical, random and bifurcation tiling with heterogeneity in micro-structures construction via functional composition

F. Massarwi; J. Machchhar; P. Antolin Sanchez; G. Elber 

COMPUTER-AIDED DESIGN. 2018. Vol. 102, p. 148-159. DOI : 10.1016/j.cad.2018.04.017.

A posteriori error estimators for hierarchical B-spline discretizations

A. Buffa; E. Garau 

MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. 2018. Vol. 28, num. 8, p. 1453-1480. DOI : 10.1142/S0218202518500392.

An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

R. Simpson; Z. Liu; R. Vazquez Hernandez; J. Evans 

Journal of Computational Physics. 2018. Vol. 362, num. 3, p. 284-289. DOI : 10.1016/j.jcp.2018.01.025.

Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

E. M. Garau; R. Vázquez 

Applied Numerical Mathematics. 2018. Vol. 123, p. 58-87. DOI : 10.1016/j.apnum.2017.08.006.

2017

Railway bridge damage detection using vehicle-based inertial measurements and apparent profile

P. Quirke; C. Bowe; E. J. OBrien; D. Cantero; P. Antolin et al. 

Engineering Structures. 2017-12-15. Vol. 153, p. 421-442. DOI : 10.1016/j.engstruct.2017.10.023.

Refinable spaces and local approximation estimates for hierarchical splines

A. Buffa; E. Garau 

IMA Journal of Numerical Analysis. 2017-07-01. Vol. 37, num. 3, p. 1125-1149. DOI : 10.1093/imanum/drw035.

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

P. Antolin Sanchez; A. Bressan; A. Buffa; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2017. Vol. 316, p. 694-719. DOI : 10.1016/j.cma.2016.09.033.

2016

Non classical solution of a conservation law arising in vehicular traffic modelling

M. J. Fabre; S. Faure; M. Laurière; B. Maury; C. Perrin 

ESAIM: Proceedings and Surveys. 2016-12-01. Vol. 55, p. 131-147. DOI : 10.1051/proc/201655131.

A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0

R. Vázquez Hernández 

Computers and Mathematics with Applications. 2016. Vol. 72, num. 3, p. 523-554. DOI : 10.1016/j.camwa.2016.05.010.

Unstructured spline spaces for isogeometric analysis based on spline manifolds

G. Sangalli; T. Takacs; R. Vázquez Hernández 

Computer Aided Geometric Design. 2016. Vol. 47, p. 61-82. DOI : 10.1016/j.cagd.2016.05.004.

A fictitious domain method for frictionless contact problems in elasticity using Nitsche’s method

M. J. Fabre; J. Pousin; Y. Renard 

SMAI Journal of Computational Mathematics. 2016. Vol. 2, p. 19-50. DOI : 10.5802/smai-jcm.8.

Complexity of hierarchical refinement for a class of admissible mesh configurations

A. Buffa; C. Giannelli; P. Morgenstern; D. Peterseim 

Computer Aided Geometric Design. 2016. Vol. 47, p. 83-92. DOI : 10.1016/j.cagd.2016.04.003.

Adaptive isogeometric methods with hierarchical splines: error estimator and convergence

A. Buffa; C. Giannelli 

Mathematical Models and Methods in Applied Sciences. 2016. Vol. 26, num. 1, p. 1-25. DOI : 10.1142/S0218202516500019.

An introduction to the numerical analysis of isogeometric methods

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández 

2016. XVI ‘Jacques-Louis Lions’ Spanish-French School on Numerical Simulation in Physics and Engineering, Pamplona (Navarra, Spain), September 2014. p. 3-69. DOI : 10.1007/978-3-319-32146-2_1.

2015

Igatools: an isogeometric analysis library

M. S. Pauletti; M. Martinelli; N. Cavallini; P. Antolin Sanchez 

SIAM Journal on Scientific Computing. 2015. Vol. 37, num. 4, p. C465–C496. DOI : 10.1137/140955252.

Approximation estimates for isogeometric spaces in multipatch geometries

A. Buffa; R. Vázquez Hernández; G. Sangalli; L. Beirão da Veiga 

Numerical Methods for Partial Differential Equations. 2015. Vol. 31, num. 2, p. 422-438. DOI : 10.1002/num.21943.

Isogeometric mortar methods

E. Brivadis; A. Buffa; B. Wohlmuth; L. Wunderlich 

Computer Methods in Applied Mechanics and Engineering. 2015. Vol. 284, p. 292-319. DOI : 10.1016/j.cma.2014.09.012.

Characterization of analysis-suitable T-splines

A. Bressan; A. Buffa; G. Sangalli 

Computer Aided Geometric Design. 2015. Vol. 39, p. 17-49. DOI : 10.1016/j.cagd.2015.06.007.

Dual compatible splines on non tensor product meshes

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández 

2015. ICIAM 2015, Beijing, China, August 10-14, 2015. p. 41-63.

Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization

P. Antolin Sanchez; A. Buffa; F. Calabrò; M. Martinelli; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2015. Vol. 285, p. 817-828. DOI : 10.1016/j.cma.2014.12.013.

2014

Dual compatible splines on nontensor product meshes

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández 

Approximation theory XIV: San Antonio 2013; Springer, Cham, 2014. p. 15-26.

Isogeometric Finite Elements With Surface Impedance Boundary Conditions

R. Vázquez Hernández; A. Buffa; L. Di Rienzo; D. Li 

IEEE Transactions on Magnetics. 2014. Vol. 50, num. 2, p. 429-432. DOI : 10.1109/TMAG.2013.2280293.

Dynamic behaviour of underspanned suspension road bridges under traffic loads

J. Oliva; J. M. Goicolea; P. Antolin Sanchez; M. A. Astiz 

Journal of the South African Institution of Civil Engineering. 2014. Vol. 56, p. 77-87.

Dynamic Models for the Running Safety of Trains on Viaducts under Cross Winds

J. M. Goicolea; P. Antolin Sanchez; J. Oliva 

2014. Proceedings of the Second International Conference on Railway Technology: Research, Development and Maintenance, Stirlingshire, Scotland, DOI : 10.4203/ccp.104.82.

Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools

N. Cavallini; O. Weeger; M. S. Pauletti; M. Martinelli; P. Antolin Sanchez 

2014. Isogeometric Analysis and Applications, Annweiler am Trifels, Germany, p. 209-230. DOI : 10.1007/978-3-319-23315-4_9.

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

A. Buffa; G. Sangalli; R. Vázquez Hernández 

Journal of Computational Physics. 2014. Vol. 257, num. part B, p. 1291-1320. DOI : 10.1016/j.jcp.2013.08.015.

Exponential convergence of the hp version of isogeometric analysis of 1D

A. Buffa; G. Sangalli; C. Schwab 

Spectral and high order methods for partial differential equations-ICOSAHOM 2012; Springer, Cham, 2014. p. 191-203.

Mimetic scalar products of discrete differential forms

F. Brezzi; A. Buffa; G. Manzini 

Journal of Computational Physics. 2014. Vol. 257, num. part B, p. 1228-1259. DOI : 10.1016/j.jcp.2013.08.017.

Mathematical analysis of variational isogeometric methods

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández 

Acta Numerica. 2014. Vol. 23, p. 157-287. DOI : 10.1017/S096249291400004X.

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

F. Bonizzoni; A. Buffa; F. Nobile 

IMA Journal of Numerical Analysis. 2014. Vol. 34, num. 4, p. 1328-1360. DOI : 10.1093/imanum/drt041.

2013

Relevance of a complete road surface description in vehicle–bridge interaction dynamics

J. Oliva; J. M. Goicolea; P. Antolin Sanchez; M. A. Astiz 

Engineering Structures. 2013. Vol. 56, p. 466-476. DOI : 10.1016/j.engstruct.2013.05.029.

Nonlinear Models for Lateral Dynamics of Railway Vehicles on Bridges Subject to Wind Action

J. M. Goicolea; P. Antolin Sanchez; J. Oliva 

2013. V International Conference on Coupled Problems in Science and Engineering COUPLED 2013, Ibiza, Spain, p. 1.

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández 

Mathematical Models and Methods in Applied Sciences. 2013. Vol. 23, num. 11, p. 1979-2003. DOI : 10.1142/S0218202513500231.

BPX-preconditioning for isogeometric analysis

A. Buffa; H. Harbrecht; A. Kunoth; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2013. Vol. 265, p. 63-70. DOI : 10.1016/j.cma.2013.05.014.

Convergence analysis for hyperbolic evolution problems in mixed form

D. Boffi; A. Buffa; L. Gastaldi 

Numerical Linear Algebra with Applications. 2013. Vol. 20, num. 4, p. 541-556. DOI : 10.1002/nla.1861.

Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers

P. Bagnerini; A. Buffa; E. Vacca 

Applied Numerical Mathematics. 2013. Vol. 65, p. 63-78. DOI : 10.1016/j.apnum.2012.10.004.

Consideration of nonlinear wheel-rail contact forces for dynamic vehicle-bridge interaction in high-speed railways

P. Antolin Sanchez; N. Zhang; J. M. Goicolea; H. Xia; M. A. Astiz et al. 

Journal of Sound and Vibration. 2013. Vol. 33, num. 5, p. 1231-1251. DOI : 10.1016/j.jsv.2012.10.022.

2012

NURBS-Based BEM Implementation of High-Order Surface Impedance Boundary Conditions

R. Vázquez Hernández; A. Buffa; L. Di Rienzo 

IEEE Transactions on Magnetics. 2012. Vol. 48, num. 12, p. 4757-4766. DOI : 10.1109/TMAG.2012.2204897.

Fully three-dimensional vehicle dynamics over rough pavement

J. Oliva; J. M. Goicolea; M. A. Astiz; P. Antolin Sanchez 

Proceedings of the Institution of Civil Engineers: Transport. 2012. Vol. 166, num. 3, p. 144-157. DOI : 10.1680/tran.11.00006.

Analysis of lateral dynamics of railway vehicles on viaducts with coupled models

J. M. Goicolea; P. Antolin Sanchez; J. Oliva 

2012. IABMAS 2012 6th International Conference on Bridge Maintenance, Safety and Management, Stressa, Italy,

The Dynamics of High-Speed Railway Bridges: A Review of Design Issues and New Research for Lateral Dynamics

J. M. Goicolea; P. Antolin Sanchez 

International Journal of Railway Technology. 2012. Vol. 1, num. 1, p. 27-55. DOI : 10.4203/ijrt.1.1.2.

A priori convergence of the greedy algorithm for the parametrized reduced basis method

A. Buffa; Y. Maday; A. T. Patera; C. Prud’homme; G. Turinici 

ESAIM: Mathematical Modelling and Numerical Analysis. 2012. Vol. 46, num. 3, p. 595-603. DOI : 10.1051/m2an/2011056.

Characterization of T-splines with reduced continuity order on T-meshes

A. Buffa; D. Cho; M. Kumar 

Computer Methods in Applied Mechanics and Engineering. 2012. Vol. 201/204, p. 112-126. DOI : 10.1016/j.cma.2011.09.005.

An isogeometric method for the Reissner-Mindlin plate bending problem

L. Beirão da Veiga; A. Buffa; C. Lovadina; M. Martinelli; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2012. Vol. 209/212, p. 45-53. DOI : 10.1016/j.cma.2011.10.009.

Analysis-suitable T-splines are dual-compatible

L. Beirão da Veiga; A. Buffa; D. Cho; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2012. Vol. 249/252, p. 42-51. DOI : 10.1016/j.cma.2012.02.025.

Nonlinear Train-Bridge Lateral Interaction Using a Simplified Wheel-Rail Contact Method Within a Finite Element Framework

P. Antolin Sanchez; J. M. Goicolea; J. Oliva; M. A. Astiz 

Journal of Computational and Nonlinear Dynamics. 2012. Vol. 7, num. 4, p. 041014. DOI : 10.1115/1.4006736.

Strategies for Modeling Train-Bridge Lateral Dynamic Interaction

P. Antolin Sanchez; J. M. Goicolea; M. A. Astiz 

Bridge Vibration and Controls: New Research; Nova Science Publishers, Inc., 2012. p. 195-235.

2011

Dynamic analysis of road vehicle-bridge systems under turbulent wind by means of Finite Element Models

J. Oliva; P. Antolin Sanchez; J. M. Goicolea; M. A. Astiz 

2011. 8th International Conference on Structural Dynamics, EURODYN 2011, Leuven, Belgium, p. 1481-1488.

The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes

K. Lipnikov; G. Manzini; F. Brezzi; A. Buffa 

Journal of Computational Physics. 2011. Vol. 230, num. 2, p. 305-328. DOI : 10.1016/j.jcp.2010.09.007.

Dynamic effects of railway traffic due to lateral motion in long viaducts with high piers

J. M. Goicolea; P. Antolin Sanchez 

2011. COMPDYN 2011 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Corfu, Greece,

Isogeometric discrete differential forms in three dimensions

A. Buffa; J. Rivas; G. Sangalli; R. Vázquez Hernández 

SIAM Journal on Numerical Analysis. 2011. Vol. 49, num. 2, p. 818-844. DOI : 10.1137/100786708.

IsoGeometric Analysis: stable elements for the 2D Stokes equation

A. Buffa; C. de Falco; G. Sangalli 

International Journal of Numerical methods in Fluids. 2011. Vol. 65, num. 11-12, p. 1407-1422. DOI : 10.1002/fld.2337.

A thermo-electrical problem with a nonlocal radiation boundary condition

A. Bermúdez; D. Gómez; M. C. Muñiz; R. Vázquez Hernández 

Mathematical and Computer Modelling. 2011. Vol. 53, num. 1-2, p. 63-80. DOI : 10.1016/j.mcm.2010.07.019.

Some estimates for h-p-k-refinement in isogeometric analysis

L. Beirão da Veiga; A. Buffa; J. Rivas; G. Sangalli 

Numerische Mathematik. 2011. Vol. 118, num. 2, p. 271-305. DOI : 10.1007/s00211-010-0338-z.

IsoGeometric analysis using T-splines on two-patch geometries

L. Beirão da Veiga; A. Buffa; D. Cho; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2011. Vol. 200, num. 21-22, p. 1787-1803. DOI : 10.1016/j.cma.2011.02.005.

Models for Lateral Dynamic Interaction of High-Speed Trains and Bridges

P. Antolin Sanchez; J. Oliva; J. M. Goicolea; M. A. Astiz 

2011. Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011, Leuven, Belgium, p. 1172-1179.

2010

Isogeometric Analysis for Electromagnetic Problems

R. Vázquez Hernández; A. Buffa 

IEEE Transactions on Magnetics. 2010. Vol. 46, num. 8, p. 3305-3308. DOI : 10.1109/TMAG.2010.2044563.

Lateral Vehicle-Structure Dynamics: Simplified Analysis Based on Deformed Track Geometry

M. Cuadrado; P. Antolin Sanchez; D. Losa; A. Alonso; J. M. Goicolea et al. 

2010. 7th World Congress on High Speed Rail UIC, Beijing, China, p. 143-150.

Isogeometric analysis in electromagnetics: B-splines approximation

A. Buffa; G. Sangalli; R. Vázquez Hernández 

Computer Methods in Applied Mechanics and Engineering. 2010. Vol. 199, num. 17-20, p. 1143-1152. DOI : 10.1016/j.cma.2009.12.002.

Linear independence of the T-spline blending functions associated with some particular T-meshes

A. Buffa; D. Cho; G. Sangalli 

Computer Methods in Applied Mechanics and Engineering. 2010. Vol. 199, num. 23-24, p. 1437-1445. DOI : 10.1016/j.cma.2009.12.004.

Innovative mimetic discretizations for electromagnetic problems

F. Brezzi; A. Buffa 

Journal of Computational and Applied Mathematics. 2010. Vol. 234, num. 6, p. 1980-1987. DOI : 10.1016/j.cam.2009.08.049.

Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating

A. Bermúdez; R. Muñoz-Sola; R. Vázquez Hernández 

Journal of Mathematical Analysis and Applications. 2010. Vol. 368, num. 2, p. 444-468. DOI : 10.1016/j.jmaa.2010.03.046.

A methodology for analysing lateral coupled behavior of high speed railway vehicles and structures

P. Antolin Sanchez; J. M. Goicolea; M. A. Astiz; A. Alonso 

IOP Conference Series: Materials Science and Engineering. 2010. Vol. 10, p. 012001. DOI : 10.1088/1757-899X/10/1/012001.

Lateral Dynamic Response of Railway Vehicles on Bridges; Numerical Model and Applications

P. Antolin Sanchez; J. M. Goicolea; M. A. Astiz; A. Alonso 

2010. Tenth International Conference on Computational Structures Technology, Valencia, p. 1-15.

2009

The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem

A. Buffa; I. Perugia; T. Warburton 

Journal of Scientific Computing. 2009. Vol. 40, num. 1-3, p. 86-114. DOI : 10.1007/s10915-008-9238-0.

Compact embeddings of broken Sobolev spaces and applications

A. Buffa; C. Ortner 

IMA Journal of Numerical Analysis. 2009. Vol. 29, num. 4, p. 827-855. DOI : 10.1093/imanum/drn038.

Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

A. Buffa; J. P. Ciarlet; E. Jamelot 

Numerische Mathematik. 2009. Vol. 113, num. 4, p. 497-518. DOI : 10.1007/s00211-009-0246-2.

Mimetic finite differences for elliptic problems

F. Brezzi; A. Buffa; K. Lipnikov 

ESAIM: Mathematical Modelling and Numerical Analysis. 2009. Vol. 43, num. 2, p. 277-295. DOI : 10.1051/m2an:2008046.

Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace

A. Bermúdez; D. Gómez; M. C. Muñiz; P. Salgado; R. Vázquez Hernández 

Applied Numerical Mathematics. 2009. Vol. 59, num. 9, p. 2082-2104. DOI : 10.1016/j.apnum.2008.12.005.

A formulation of the eddy current problem in the presence of electric ports

A. Alonso Rodríguez; A. Valli; R. Vázquez Hernández 

Numerische Mathematik. 2009. Vol. 113, num. 4, p. 643-672. DOI : 10.1007/s00211-009-0241-7.

Iterative methods for the saddle-point problem arising from the H_C/ E_I formulation of the eddy current problem

A. Alonso Rodríguez; R. Vázquez Hernández 

SIAM Journal on Scientific Computing. 2009. Vol. 31, num. 4, p. 3155-3178. DOI : 10.1137/080722278.

2008

Error estimates for the ultra weak variational formulation of the Helmholtz equation

A. Buffa; P. Monk 

ESAIM: Mathematical Modelling and Numerical Analysis. 2008. Vol. 42, num. 6, p. 925-940. DOI : 10.1051/m2an:2008033.

Numerical simulation of induction furnaces for silicon purification

A. Bermúdez; D. Gómez; M. C. Muñiz; P. Salgado; R. Vázquez Hernández 

Progress in industrial mathematics at ECMI 2006; Springer, Berlin, 2008. p. 48-65.

A multiplicative Calderon preconditioner for the electric field integral equation

F. P. Andriulli; K. Cools; H. Bağci; F. Olyslager; A. Buffa et al. 

IEEE Transactions on Antennas and Propagation. 2008. Vol. 56, num. 8, part 1, p. 2398-2412. DOI : 10.1109/TAP.2008.926788.

Containment Control in Mobile Networks

M. Ji; G. Ferrari-Trecate; M. Egerstedt; A. Buffa 

IEEE Transactions on Automatic Control. 2008. Vol. 53, num. 8, p. 1972-1975. DOI : 10.1109/TAC.2008.930098.

2007

Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes

A. Buffa; P. Houston; I. Perugia 

Journal of Computational and Applied Mathematics. 2007. Vol. 204, num. 2, p. 317-333. DOI : 10.1016/j.cam.2006.01.042.

A dual finite element complex on the barycentric refinement

A. Buffa; S. H. Christiansen 

Mathematics of Computation. 2007. Vol. 76, num. 260, p. 1743-1769. DOI : 10.1090/S0025-5718-07-01965-5.

A fast algorithm for determining the propagation path of multiple diffracted rays

P. Bagnerini; A. Buffa; A. Cangiani 

IEEE Transactions on Antennas and Propagation. 2007. Vol. 55, num. 5, p. 1416-1422. DOI : 10.1109/TAP.2007.895543.

A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation

F. Auricchio; L. Beirão da Veiga; A. Buffa; C. Lovadina; A. Reali et al. 

Computer Methods in Applied Mechanics and Engineering. 2007. Vol. 197, num. 1-4, p. 160-172. DOI : 10.1016/j.cma.2007.07.005.

2006

A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method

T. J. R. Hughes; G. Scovazzi; P. B. Bochev; A. Buffa 

Computer Methods in Applied Mechanics and Engineering. 2006. Vol. 195, num. 19-22, p. 2761-2787. DOI : 10.1016/j.cma.2005.06.006.

Laplacian sheep: a hybrid, stop-go policy for leader-based containment control

G. Ferrari-Trecate; M. Egerstedt; A. Buffa; M. Ji 

Hybrid systems: computation and control; Berlin: Springer, 2006. p. 212-226.

On the acoustic single layer potential: stabilization and Fourier analysis

A. Buffa; S. Sauter 

SIAM Journal on Scientific Computing. 2006. Vol. 28, num. 5, p. 1974-1999. DOI : 10.1137/040615110.

Discontinuous Galerkin approximation of heterogeneous Maxwell source problem

A. Buffa; I. Perugia 

Boletín de la Sociedad Española de Matemática Aplicada. 2006. num. 34, p. 33-44.

Discontinuous Galerkin approximation of the Maxwell eigenproblem

A. Buffa; I. Perugia 

SIAM Journal on Numerical Analysis. 2006. Vol. 44, num. 5, p. 2198-2226. DOI : 10.1137/050636887.

Analysis of a multiscale discontinuous Galerkin method for convection-diffusion problems

A. Buffa; T. J. R. Hughes; G. Sangalli 

SIAM Journal on Numerical Analysis. 2006. Vol. 44, num. 4, p. 1420-1440. DOI : 10.1137/050640382.

Compatible discretizations in two dimensions

A. Buffa 

Numerical mathematics and advanced applications; Springer, Berlin, 2006. p. 3-20.

Finite elements for a prefractal transmission problem

P. Bagnerini; A. Buffa; E. Vacca 

Comptes Rendus Mathematique. 2006. Vol. 342, num. 3, p. 211-214. DOI : 10.1016/j.crma.2005.11.023.

Discontinuous Galerkin approximation of the Laplace eigenproblem

P. F. Antonietti; A. Buffa; I. Perugia 

Computer Methods in Applied Mechanics and Engineering. 2006. Vol. 195, num. 25-28, p. 3483-3503. DOI : 10.1016/j.cma.2005.06.023.

Analysis of Coordination in multi-Agent Systems Through Partial Difference Equations

G. Ferrari-Trecate; A. Buffa; M. Gati 

IEEE Transactions on Automatic Control. 2006. Vol. 51, num. 6, p. 1058-1063. DOI : 10.1109/TAC.2006.876805.

2005

H^1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates

L. Demkowicz; A. Buffa 

Computer Methods in Applied Mechanics and Engineering. 2005. Vol. 194, num. 2-5, p. 267-296. DOI : 10.1016/j.cma.2004.07.007.

Regularized combined field integral equations

A. Buffa; R. Hiptmair 

Numerische Mathematik. 2005. Vol. 100, num. 1, p. 1-19. DOI : 10.1007/s00211-004-0579-9.

Algebraic convergence for anisotropic edge elements in polyhedral domains

A. Buffa; M. Costabel; M. Dauge 

Numerische Mathematik. 2005. Vol. 101, num. 1, p. 29-65. DOI : 10.1007/s00211-005-0607-4.

A dual finite element complex on the barycentric refinement

A. Buffa; S. H. Christiansen 

Comptes Rendus Mathematique. 2005. Vol. 340, num. 6, p. 461-464. DOI : 10.1016/j.crma.2004.12.022.

Remarks on the discretization of some noncoercive operator with applications to heterogeneous Maxwell equations

A. Buffa 

SIAM Journal on Numerical Analysis. 2005. Vol. 43, num. 1, p. 1-18. DOI : 10.1137/S003614290342385X.

2004

A coercive combined field integral equation for electromagnetic scattering

A. Buffa; R. Hiptmair 

SIAM Journal on Numerical Analysis. 2004. Vol. 42, num. 2, p. 621-640. DOI : 10.1137/S0036142903423393.

2003

Applications of the mortar element method to 3D electromagnetic moving structures

A. Buffa; Y. Maday; F. Rapetti 

Computational electromagnetics (Kiel, 2001); Springer, Berlin, 2003. p. 35-50.

Boundary element methods for Maxwell transmission problems in Lipschitz domains

A. Buffa; R. Hiptmair; T. von Petersdorff; C. Schwab 

Numerische Mathematik. 2003. Vol. 95, num. 3, p. 459-485. DOI : 10.1007/s00211-002-0407-z.

Galerkin boundary element methods for electromagnetic scattering

A. Buffa; R. Hiptmair 

Topics in computational wave propagation; Springer, Berlin, 2003. p. 83-124.

Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron

A. Buffa; M. Costabel; M. Dauge 

Comptes Rendus Mathematique. 2003. Vol. 336, num. 7, p. 565-570. DOI : 10.1016/S1631-073X(03)00138-9.

The electric field integral equation on Lipschitz screens: definitions and numerical approximation

A. Buffa; S. H. Christiansen 

Numerische Mathematik. 2003. Vol. 94, num. 2, p. 229-267. DOI : 10.1007/s00211-002-0422-0.

Trace theorems on non-smooth boundaries for functional spaces related to Maxwell equations: an overview

A. Buffa 

Computational electromagnetics (Kiel, 2001); Springer, Berlin, 2003. p. 23-34.

The mortar edge element method in three dimensions: application to magnetostatics

F. Bouillault; A. Buffa; Y. Maday; F. Rapetti 

SIAM Journal on Scientific Computing. 2003. Vol. 24, num. 4, p. 1303-1327. DOI : 10.1137/S1064827501386006.

2002

On traces for H(curl,Ω) in Lipschitz domains

A. Buffa; M. Costabel; D. Sheen 

Journal of Mathematical Analysis and Applications. 2002. Vol. 276, num. 2, p. 845-867. DOI : 10.1016/S0022-247X(02)00455-9.

Boundary element methods for Maxwell’s equations on non-smooth domains

A. Buffa; M. Costabel; C. Schwab 

Numerische Mathematik. 2002. Vol. 92, num. 4, p. 679-710. DOI : 10.1007/s002110100372.

Error estimate for a stabilised domain decomposition method with nonmatching grids

A. Buffa 

Numerische Mathematik. 2002. Vol. 90, num. 4, p. 617-640. DOI : 10.1007/s002110100298.

Simulation of a magneto-mechanical damping machine: analysis, discretization, results

F. Bouillault; A. Buffa; Y. Maday; F. Rapetti 

Computer Methods in Applied Mechanics and Engineering. 2002. Vol. 191, num. 23-24, p. 2587-2610. DOI : 10.1016/S0045-7825(01)00417-0.

2001

A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines

A. Buffa; Y. Maday; F. Rapetti 

ESAIM: Mathematical Modelling and Numerical Analysis. 2001. Vol. 35, num. 2, p. 191-228. DOI : 10.1051/m2an:2001112.

On traces of functions in W^{2,p}(Ω) for Lipschitz domains in R^3

A. Buffa; G. Geymonat 

Comptes Rendus de l’Académie des Sciences – Series I – Mathematics. 2001. Vol. 332, num. 8, p. 699-704. DOI : 10.1016/S0764-4442(01)01881-X.

Hodge decompositions on the boundary of nonsmooth domains: the multi-connected case

A. Buffa 

Mathematical Models and Methods in Applied Sciences. 2001. Vol. 11, num. 9, p. 1491-1503. DOI : 10.1142/S0218202501001434.

The mortar finite element method for 3D Maxwell equations: first results

F. Ben Belgacem; A. Buffa; Y. Maday 

SIAM Journal on Numerical Analysis. 2001. Vol. 39, num. 3, p. 880-901. DOI : 10.1137/S0036142999357968.

2000

Calculation of eddy currents in moving structures by a sliding mesh-finite element method

A. Buffa; Y. Maday; F. Rapetti 

IEEE Transactions on Magnetics. 2000. Vol. 36, num. 4, p. 1356-1359. DOI : 10.1109/20.877690.