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Author ID: bossavit.alain Recent zbMATH articles by "Bossavit, Alain"
Published as: Bossavit, A.; Bossavit, Alain
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 583 times in 459 Documents Cited by Year
Computational electromagnetism. Variational formulations, complementarity, edge elements. Zbl 0945.78001
Bossavit, Alain
232
1998
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
35
2009
Virtual power principle and Maxwell’s tensor: which comes first? Zbl 1358.78014
Bossavit, Alain
25
2011
Discretization of electromagnetic problems: the “generalized finite differences” approach. Zbl 1109.78001
Bossavit, Alain
25
2005
Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry. Zbl 0578.73072
Bossavit, A.
25
1986
Yee-like schemes on a tetrahedral mesh, with diagonal lumping. Zbl 0936.78011
Bossavit, A.; Kettunen, L.
19
1999
Modelling of periodic electromagnetic structures bianisotropic materials with memory effects. Zbl 1078.35120
Bossavit, Alain; Griso, Georges; Miara, Bernadette
18
2005
The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association. Zbl 0725.65112
Bossavit, A.
18
1991
Boundary value problems with symmetry and their approximation by finite elements. Zbl 0789.65085
Bossavit, Alain
16
1993
Electromagnetism, in view of modeling. (Électromagnétisme, en vue de la modélisation.) Zbl 0787.65090
Bossavit, Alain
15
1993
Differential forms and the computation of fields and forces in electromagnetism. Zbl 0741.76088
Bossavit, A.
12
1991
Most general ”non-local” boundary conditions for the Maxwell equation in a bounded region. Zbl 0966.78002
Bossavit, A.
11
2000
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
11
2003
Formulation of the eddy current problem in multiply connected regions in terms of \(h\). Zbl 0902.65075
Kettunen, Lauri; Forsman, Kimmo; Bossavit, Alain
9
1998
Free boundary problems: Applications and theory. Volumes III, IV. (Proceedings of the International Colloquium: ‘Problèmes à Frontières Libres. Applications et Théorie’, held in Maubuisson, France, June 7–16, 1984). Zbl 0578.35003
9
1985
Extrusion, contraction: Their discretization via Whitney forms. Zbl 1161.76602
Bossavit, Alain
8
2003
Mixed methods and the marriage between ”mixed” finite elements and boundary elements. Zbl 0744.65086
Bossavit, Alain
7
1991
On the electromagnetic “induction heating” problem in bounded domains. Zbl 0813.35120
Bossavit, Alain; Rodrigues, José-Francisco
7
1994
Homogenization of the Stefan problem and application to magnetic composite media. Zbl 0468.35053
Bossavit, A.; Damlamian, A.
7
1981
A new viewpoint on mixed elements. Zbl 0778.65078
Bossavit, A.
6
1992
A uniform rationale for Whitney forms on various supporting shapes. Zbl 1196.78024
Bossavit, A.
6
2010
On the condition ’h normal to the wall’ in magnetic field problems. Zbl 0616.65125
Bossavit, Alain
5
1987
On the Lorentz gauge. Zbl 0946.78002
Bossavit, Alain
4
1999
Nodal and mixed finite elements for the numerical homogenization of 3D permeability. Zbl 0978.86003
Trykozko, Anna; Zijl, Wouter; Bossavit, Alain
4
2001
Simplicial finite elements for scattering problems in electromagnetism. Zbl 0688.73076
Bossavit, Alain
4
1989
Mixed finite elements and the complex of Withney forms. Zbl 0692.65053
Bossavit, A.
4
1988
The Sommerville mesh in Yee-like schemes. Zbl 1170.78319
Bossavit, Alain
4
2004
On the numerical analysis of eddy-current problems. Zbl 0471.65080
Bossavit, Alain
3
1981
On the computation of strains and stresses in symmetrical articulated structures. Zbl 0791.65027
Bossavit, A.
3
1993
“Hybrid” electric-magnetic methods in eddy-current problems. Zbl 1059.78508
Bossavit, A.
3
1999
Modelling of periodic electromagnetic structures – bi-anisotropic materials with memory. (Modélisation de structures électromagnétiques périodiques – matériaux bianisotropes avec mémoire.) Zbl 1042.35079
Bossavit, Alain; Griso, Georges; Miara, Bernadette
3
2004
Free boundaries in induction heating. Zbl 0615.35086
Bossavit, A.
2
1985
A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108
Bossavit, Alain; Rapetti, Francesca
2
2005
Approximation des problèmes de contrôle optimal. Zbl 0264.49027
Bensoussan, A.; Bossavit, A.; Nedelec, J. C.
2
1970
On the homogenization of Maxwell equations. Zbl 0850.35120
Bossavit, Alain
2
1995
The discrete Hodge operator in electromagnetic wave propagation problems. Zbl 0962.78017
Bossavit, Alain
2
2000
Stefan models for eddy currents in steel. Zbl 0506.65044
Bossavit, A.
2
1983
Calcul des courants induits et des forces électromagnétiques dans un système de conducteurs mobiles. (Computation of eddy-currents and Lorentz forces in a system of moving conductors). Zbl 0673.65084
Bossavit, A.
2
1989
Whitney forms, from manifolds to fields. Zbl 1282.65147
Bossavit, Alain; Rapetti, Francesca
1
2014
A linear control problem for a system governed by a partial differential equation. (Approximation and computational results.). Zbl 0239.49003
Bossavit, A.
1
1969
Approximation régularisée d’un problème aux limites non homogène. Zbl 0204.48403
Bossavit, A.
1
1969
Modelling superconductors with Bean’s model, in dimension 2: Stefan’s problem, again. Zbl 0832.35152
Bossavit, A.
1
1994
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
1
2002
Solution of TEAM workshop problem 12 (a cantilevered beam in a crossed field) using the Trifou code. Zbl 0723.65128
Cahouet, J.; Blanchet, D.; Bossavit, A.
1
1990
Mixed methods for a vectorial Stefan problem. Zbl 0724.65118
Bossavit, A.
1
1990
On finite elements for the electric equation. Zbl 0541.73139
Bossavit, A.
1
1982
Eddy-currents in a system of moving conductors. Zbl 0551.73094
Bossavit, A.
1
1984
Calcul vectoriel et parallèle. Actes du \(1^{er}\) Colloque International sur les Méthodes Vectorielles et Parallèles en Calcul Scientifique, Paris, 17-18 mars 1983. Zbl 0586.68004
1
1983
Stiff problems and boundary layers in electricity: A mathematical analysis of skin-effect. Zbl 0674.35004
Bossavit, A.
1
1986
Whitney forms, from manifolds to fields. Zbl 1282.65147
Bossavit, Alain; Rapetti, Francesca
1
2014
Virtual power principle and Maxwell’s tensor: which comes first? Zbl 1358.78014
Bossavit, Alain
25
2011
A uniform rationale for Whitney forms on various supporting shapes. Zbl 1196.78024
Bossavit, A.
6
2010
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
35
2009
Discretization of electromagnetic problems: the “generalized finite differences” approach. Zbl 1109.78001
Bossavit, Alain
25
2005
Modelling of periodic electromagnetic structures bianisotropic materials with memory effects. Zbl 1078.35120
Bossavit, Alain; Griso, Georges; Miara, Bernadette
18
2005
A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108
Bossavit, Alain; Rapetti, Francesca
2
2005
The Sommerville mesh in Yee-like schemes. Zbl 1170.78319
Bossavit, Alain
4
2004
Modelling of periodic electromagnetic structures – bi-anisotropic materials with memory. (Modélisation de structures électromagnétiques périodiques – matériaux bianisotropes avec mémoire.) Zbl 1042.35079
Bossavit, Alain; Griso, Georges; Miara, Bernadette
3
2004
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
11
2003
Extrusion, contraction: Their discretization via Whitney forms. Zbl 1161.76602
Bossavit, Alain
8
2003
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
1
2002
Nodal and mixed finite elements for the numerical homogenization of 3D permeability. Zbl 0978.86003
Trykozko, Anna; Zijl, Wouter; Bossavit, Alain
4
2001
Most general ”non-local” boundary conditions for the Maxwell equation in a bounded region. Zbl 0966.78002
Bossavit, A.
11
2000
The discrete Hodge operator in electromagnetic wave propagation problems. Zbl 0962.78017
Bossavit, Alain
2
2000
Yee-like schemes on a tetrahedral mesh, with diagonal lumping. Zbl 0936.78011
Bossavit, A.; Kettunen, L.
19
1999
On the Lorentz gauge. Zbl 0946.78002
Bossavit, Alain
4
1999
“Hybrid” electric-magnetic methods in eddy-current problems. Zbl 1059.78508
Bossavit, A.
3
1999
Computational electromagnetism. Variational formulations, complementarity, edge elements. Zbl 0945.78001
Bossavit, Alain
232
1998
Formulation of the eddy current problem in multiply connected regions in terms of \(h\). Zbl 0902.65075
Kettunen, Lauri; Forsman, Kimmo; Bossavit, Alain
9
1998
On the homogenization of Maxwell equations. Zbl 0850.35120
Bossavit, Alain
2
1995
On the electromagnetic “induction heating” problem in bounded domains. Zbl 0813.35120
Bossavit, Alain; Rodrigues, José-Francisco
7
1994
Modelling superconductors with Bean’s model, in dimension 2: Stefan’s problem, again. Zbl 0832.35152
Bossavit, A.
1
1994
Boundary value problems with symmetry and their approximation by finite elements. Zbl 0789.65085
Bossavit, Alain
16
1993
Electromagnetism, in view of modeling. (Électromagnétisme, en vue de la modélisation.) Zbl 0787.65090
Bossavit, Alain
15
1993
On the computation of strains and stresses in symmetrical articulated structures. Zbl 0791.65027
Bossavit, A.
3
1993
A new viewpoint on mixed elements. Zbl 0778.65078
Bossavit, A.
6
1992
The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association. Zbl 0725.65112
Bossavit, A.
18
1991
Differential forms and the computation of fields and forces in electromagnetism. Zbl 0741.76088
Bossavit, A.
12
1991
Mixed methods and the marriage between ”mixed” finite elements and boundary elements. Zbl 0744.65086
Bossavit, Alain
7
1991
Solution of TEAM workshop problem 12 (a cantilevered beam in a crossed field) using the Trifou code. Zbl 0723.65128
Cahouet, J.; Blanchet, D.; Bossavit, A.
1
1990
Mixed methods for a vectorial Stefan problem. Zbl 0724.65118
Bossavit, A.
1
1990
Simplicial finite elements for scattering problems in electromagnetism. Zbl 0688.73076
Bossavit, Alain
4
1989
Calcul des courants induits et des forces électromagnétiques dans un système de conducteurs mobiles. (Computation of eddy-currents and Lorentz forces in a system of moving conductors). Zbl 0673.65084
Bossavit, A.
2
1989
Mixed finite elements and the complex of Withney forms. Zbl 0692.65053
Bossavit, A.
4
1988
On the condition ’h normal to the wall’ in magnetic field problems. Zbl 0616.65125
Bossavit, Alain
5
1987
Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry. Zbl 0578.73072
Bossavit, A.
25
1986
Stiff problems and boundary layers in electricity: A mathematical analysis of skin-effect. Zbl 0674.35004
Bossavit, A.
1
1986
Free boundary problems: Applications and theory. Volumes III, IV. (Proceedings of the International Colloquium: ‘Problèmes à Frontières Libres. Applications et Théorie’, held in Maubuisson, France, June 7–16, 1984). Zbl 0578.35003
9
1985
Free boundaries in induction heating. Zbl 0615.35086
Bossavit, A.
2
1985
Eddy-currents in a system of moving conductors. Zbl 0551.73094
Bossavit, A.
1
1984
Stefan models for eddy currents in steel. Zbl 0506.65044
Bossavit, A.
2
1983
Calcul vectoriel et parallèle. Actes du \(1^{er}\) Colloque International sur les Méthodes Vectorielles et Parallèles en Calcul Scientifique, Paris, 17-18 mars 1983. Zbl 0586.68004
1
1983
On finite elements for the electric equation. Zbl 0541.73139
Bossavit, A.
1
1982
Homogenization of the Stefan problem and application to magnetic composite media. Zbl 0468.35053
Bossavit, A.; Damlamian, A.
7
1981
On the numerical analysis of eddy-current problems. Zbl 0471.65080
Bossavit, Alain
3
1981
Approximation des problèmes de contrôle optimal. Zbl 0264.49027
Bensoussan, A.; Bossavit, A.; Nedelec, J. C.
2
1970
A linear control problem for a system governed by a partial differential equation. (Approximation and computational results.). Zbl 0239.49003
Bossavit, A.
1
1969
Approximation régularisée d’un problème aux limites non homogène. Zbl 0204.48403
Bossavit, A.
1
1969
all top 5

Cited by 694 Authors

24 Rapetti, Francesca
14 Alonso Rodríguez, Ana
13 Schöps, Sebastian
12 Kettunen, Lauri
12 Specogna, Ruben
11 Bermúdez, Alfredo
10 Bossavit, Alain
10 Desbrun, Mathieu
9 Hiptmair, Ralf
9 Rodríguez, Rodolfo
9 Salgado, Pilar
8 De Gersem, Herbert
8 Slodička, Marián
8 Trevisan, Francesco
8 Valli, Alberto
7 Duan, Huoyuan
7 Geuzaine, Christophe A.
7 Guermond, Jean-Luc
7 Hu, Kaibo
7 Tan, Roger C. E.
6 Acevedo, Ramiro
6 Gerritsma, Marc I.
6 Li, Jichun
5 Boyd, John Philip
5 Campos Pinto, Martin
5 Christiansen, Snorre Harald
5 Codecasa, Lorenzo
5 Gómez, Christian
5 Lohi, Jonni
5 López-Rodríguez, Bibiana
5 Marsden, Jerrold Eldon
5 Mullen, Patrick
5 Nicaise, Serge
5 Sonnendrücker, Eric
5 Suuriniemi, Saku
5 Teixeira, Fernando L.
5 Visintin, Augusto
5 Wang, Junping
5 Xu, Jinchao
4 Aramaki, Junichi
4 Bonazzoli, Marcella
4 Bruno, Ludovico Bruni
4 Buffa, Annalisa
4 Cao, Liqun
4 Dular, Patrick
4 Ghiloni, Riccardo
4 Griso, Georges
4 Kang, Tong
4 Kurz, Stefan
4 Léorat, Jacques
4 Mönkölä, Sanna
4 Munthe-Kaas, Hans Z.
4 Nore, Caroline
4 Räbinä, Jukka
4 Rossi, Tuomo
4 Stephan, Ernst Peter
4 Tong, Yiying
4 Yousept, Irwin
4 Zaglmayr, Sabine
3 Aimi, Alessandra
3 Azaïez, Mejdi
3 Banks, Harvey Thomas
3 Bokil, Vrushali A.
3 Casper, Thorben
3 Cortes Garcia, Idoia
3 Creusé, Emmanuel
3 Cyr, Eric C.
3 Diligenti, Mauro
3 Dłotko, Paweł
3 Gómez, Dolores
3 Hömberg, Dietmar
3 Hu, Xiaozhe
3 Kapidani, Bernard
3 Kim, Kwang Ik
3 Ledger, Paul David
3 Leydecker, Florian
3 Li, Shan
3 Licht, Martin Werner
3 Lin, Ping
3 Ma, Changfeng
3 Maday, Yvon
3 Maischak, Matthias
3 Maschke, Bernhard M.
3 Meddahi, Salim
3 Miara, Bernadette
3 Monk, Peter B.
3 Morgan, Kenneth
3 Niyonzima, Innocent
3 Palha, Artur
3 Pavlov, Dmitry V.
3 Phillips, Edward G.
3 Pitassi, Silvano
3 Tortorelli, Daniel A.
3 Toshniwal, Deepesh
3 Trask, Nathaniel A.
3 van der Schaft, Arjan J.
3 Vandewalle, Stefan G.
3 Vazquez, Rafael
3 Wang, Chunmei
3 Weiland, Thomas
...and 594 more Authors
all top 5

Cited in 125 Serials

56 Journal of Computational Physics
33 Computer Methods in Applied Mechanics and Engineering
22 Journal of Computational and Applied Mathematics
18 Mathematics of Computation
15 Computers & Mathematics with Applications
14 Applied Mathematics and Computation
14 Numerische Mathematik
13 COMPEL
12 Applied Numerical Mathematics
10 Journal of Scientific Computing
8 Journal of Mathematical Analysis and Applications
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 SIAM Journal on Scientific Computing
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 SIAM Journal on Numerical Analysis
6 Numerical Algorithms
6 Advances in Computational Mathematics
5 Mathematical Methods in the Applied Sciences
5 International Journal for Numerical Methods in Engineering
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 BIT
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematical Modelling
3 Applicable Analysis
3 Computer Physics Communications
3 Inverse Problems
3 Journal of Mathematical Physics
3 Calcolo
3 Computing
3 Journal of Differential Equations
3 Japan Journal of Industrial and Applied Mathematics
3 Foundations of Computational Mathematics
3 Multiscale Modeling & Simulation
3 SMAI Journal of Computational Mathematics
2 International Journal of Theoretical Physics
2 Physics Letters. A
2 Automatica
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Physica D
2 Applied Mathematics Letters
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Nonlinear Science
2 Numerical Linear Algebra with Applications
2 Advances in Applied Clifford Algebras
2 International Journal of Numerical Modelling
2 Engineering Computations
2 Nonlinear Analysis. Real World Applications
2 Communications on Pure and Applied Analysis
2 International Journal of Numerical Analysis and Modeling
2 Boundary Value Problems
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 European Journal of Physics
1 International Journal of General Systems
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Integral Equations and Operator Theory
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Meccanica
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 ACM Transactions on Graphics
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Neural Networks
1 Computational Geometry
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 Expositiones Mathematicae
1 Computational Optimization and Applications
1 Communications in Numerical Methods in Engineering
1 Applied and Computational Harmonic Analysis
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Inverse and Ill-Posed Problems
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Mathematical Physics, Analysis and Geometry
...and 25 more Serials
all top 5

Cited in 47 Fields

290 Numerical analysis (65-XX)
228 Optics, electromagnetic theory (78-XX)
191 Partial differential equations (35-XX)
57 Fluid mechanics (76-XX)
37 Mechanics of deformable solids (74-XX)
33 Global analysis, analysis on manifolds (58-XX)
18 Classical thermodynamics, heat transfer (80-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
12 Computer science (68-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Approximations and expansions (41-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Differential geometry (53-XX)
8 Systems theory; control (93-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Mechanics of particles and systems (70-XX)
5 Ordinary differential equations (34-XX)
5 Algebraic topology (55-XX)
5 Quantum theory (81-XX)
4 Difference and functional equations (39-XX)
4 Biology and other natural sciences (92-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Operator theory (47-XX)
3 Convex and discrete geometry (52-XX)
3 Relativity and gravitational theory (83-XX)
2 Algebraic geometry (14-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)

Citations by Year