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## Bécache, Eliane

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 Author ID: becache.eliane Published as: Bécache, Eliane; Bécache, E.; Bécache, Éliane; Becache, E.; Becache, Eliane External Links: MGP
 Documents Indexed: 39 Publications since 1990
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#### Co-Authors

 2 single-authored 20 Joly, Patrick 8 Tsogka, Chrysoula 5 Kachanovska, Maryna 4 Rodríguez, Jerónimo 3 Bonnet-Ben Dhia, Anne-Sophie 3 Derveaux, Grégoire 3 Givoli, Dan 3 Legendre, Guillaume 2 Gedney, Stephen D. 2 Hagstrom, Thomas M. 2 Petropoulos, Peter G. 2 Vinoles, Valentin 1 Bourgeois, Laurent 1 Chaigne, Antoine 1 Collino, Francis 1 Dardé, Jérémi 1 Eziani, Abdelaâziz 1 Ezziani, Abdelaâziz 1 Fauqueux, Sandrine 1 Fliss, Sonia 1 Franceschini, Lucas 1 Ha-Duong, Tuong 1 Kazakova, Maria 1 Nédélec, Jean-Claude 1 Nishimura, Naoshi 1 Prieto, Andrés 1 Rabinovich, Daniel 1 Scarella, Gilles 1 Stein, Kurt
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#### Serials

 5 SIAM Journal on Numerical Analysis 3 Journal of Computational Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Wave Motion 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Journal of Elasticity 1 Comptes Rendus de l’Académie des Sciences. Série I 1 SIAM Journal on Scientific Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 IEEE Transactions on Antennas and Propagation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Computational Acoustics 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 International Journal for Numerical Methods in Biomedical Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Fields

 20 Mechanics of deformable solids (74-XX) 18 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 2 Integral equations (45-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 458 times in 291 Documents Cited by Year
Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335
Bécache, E.; Fauqueux, S.; Joly, P.
2003
Perfectly matched layers for the convected Helmholtz equation. Zbl 1089.76045
Bécache, E.; Bonnet-Ben Dhia, A.-S.; Legendre, G.
2004
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032
Bécache, Eliane; Joly, Patrick
2002
On the long-time behavior of unsplit perfectly matched layers. Zbl 1368.78159
Bécache, Eliane; Petropoulos, Peter G.; Gedney, Stephen D.
2004
High-order absorbing boundary conditions for anisotropic and convective wave equations. Zbl 1181.65123
Bécache, Eliane; Givoli, Dan; Hagstrom, Thomas
2010
Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain. Zbl 1201.65160
Rabinovich, Daniel; Givoli, Dan; Bécache, Eliane
2010
A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049
Bécache, E.; Joly, P.; Tsogka, C.
2002
An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102
Bécache, E.; Joly, P.; Tsogka, C.
2000
Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156
Bécache, E.; Joly, P.; Tsogka, C.
2001
Regularization in 3D for anisotropic elastodynamic crack and obstacle problems. Zbl 0773.73029
Becache, Eliane; Nedelec, Jean-Claude; Nishimura, Naoshi
1993
A variational boundary integral equation method for an elastodynamic antiplane crack. Zbl 0772.73088
Becache, E.
1993
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case. Zbl 1369.65115
Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas; Dardé, Jérémi
2015
Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow. Zbl 1126.76051
Bécache, E.; Dhia, A. S. Bonnet-Ben; Legendre, G.
2006
Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013
Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin
2015
A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069
Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick
2004
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427
Bécache, Éliane; Joly, Patrick; Vinoles, Valentin
2018
Complete radiation boundary conditions for convective waves. Zbl 1388.65054
Hagstrom, Thomas; Bécache, Eliane; Givoli, Dan; Stein, Kurt
2012
Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030
Bécache, E.; Joly, P.; Rodríguez, J.
2005
Remarks on the stability of Cartesian PMLs in corners. Zbl 1257.65052
Bécache, Eliane; Prieto, Andrés
2012
Stable perfectly matched layers for a class of anisotropic dispersive models. I: Necessary and sufficient conditions of stability. Zbl 1454.78010
Bécache, Eliane; Kachanovska, Maryna
2017
A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem. Zbl 0817.73067
Bécache, E.; Ha Duong, T.
1994
Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003
Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna
2017
Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition. Zbl 1161.65071
Bécache, Eliane; Rodríguez, Jeronimo; Tsogka, Chrysoula
2009
Numerical simulation of a guitar. Zbl 1047.76115
Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick
2003
Perfectly matched layers for the convected Helmholtz equation. Zbl 1047.76094
Bécache, Eliane; Bonnet-Ben Dhia, Anne-Sophie; Legendre, Guillaume
2003
Mixed finite elements and mass lumping for linear elastodynamics. I: Construction. (Éléments finis mixtes et condensation de masse en élastodynamique linéaire. I: Construction.) Zbl 0895.73064
Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula
1997
An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060
Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick
2005
A fictitious domain method with mixed finite elements for elastodynamics. Zbl 1359.74394
Bécache, E.; Rodríguez, J.; Tsogka, C.
2007
Long-time behavior of the unsplit PML. Zbl 1047.35082
Bécache, Eliane; Petropoulos, Peter G.; Gedney, Stephen D.
2003
An explicit finite element scheme for time-dependent Kirchhoff-Love equations. Zbl 1072.74546
Bécache, Éliane; Derveaux, Grégoire; Joly, Patrick
2000
Construction and analysis of a new mixed finite element allowing mass lumping. (Étude d’un nouvel élément fini mixte permettant la condensation de masse.) Zbl 0877.65072
Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula
1997
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636
Bécache, Eliane; Kachanovska, Maryna
2021
Stability and convergence analysis of time-domain perfectly matched layers for the wave equation in waveguides. Zbl 07372636
Bécache, Eliane; Kachanovska, Maryna
2021
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427
Bécache, Éliane; Joly, Patrick; Vinoles, Valentin
2018
Stable perfectly matched layers for a class of anisotropic dispersive models. I: Necessary and sufficient conditions of stability. Zbl 1454.78010
Bécache, Eliane; Kachanovska, Maryna
2017
Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003
Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna
2017
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case. Zbl 1369.65115
Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas; Dardé, Jérémi
2015
Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013
Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin
2015
Complete radiation boundary conditions for convective waves. Zbl 1388.65054
Hagstrom, Thomas; Bécache, Eliane; Givoli, Dan; Stein, Kurt
2012
Remarks on the stability of Cartesian PMLs in corners. Zbl 1257.65052
Bécache, Eliane; Prieto, Andrés
2012
High-order absorbing boundary conditions for anisotropic and convective wave equations. Zbl 1181.65123
Bécache, Eliane; Givoli, Dan; Hagstrom, Thomas
2010
Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain. Zbl 1201.65160
Rabinovich, Daniel; Givoli, Dan; Bécache, Eliane
2010
Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition. Zbl 1161.65071
Bécache, Eliane; Rodríguez, Jeronimo; Tsogka, Chrysoula
2009
A fictitious domain method with mixed finite elements for elastodynamics. Zbl 1359.74394
Bécache, E.; Rodríguez, J.; Tsogka, C.
2007
Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow. Zbl 1126.76051
Bécache, E.; Dhia, A. S. Bonnet-Ben; Legendre, G.
2006
Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030
Bécache, E.; Joly, P.; Rodríguez, J.
2005
An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060
Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick
2005
Perfectly matched layers for the convected Helmholtz equation. Zbl 1089.76045
Bécache, E.; Bonnet-Ben Dhia, A.-S.; Legendre, G.
2004
On the long-time behavior of unsplit perfectly matched layers. Zbl 1368.78159
Bécache, Eliane; Petropoulos, Peter G.; Gedney, Stephen D.
2004
A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069
Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick
2004
Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335
Bécache, E.; Fauqueux, S.; Joly, P.
2003
Numerical simulation of a guitar. Zbl 1047.76115
Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick
2003
Perfectly matched layers for the convected Helmholtz equation. Zbl 1047.76094
Bécache, Eliane; Bonnet-Ben Dhia, Anne-Sophie; Legendre, Guillaume
2003
Long-time behavior of the unsplit PML. Zbl 1047.35082
Bécache, Eliane; Petropoulos, Peter G.; Gedney, Stephen D.
2003
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032
Bécache, Eliane; Joly, Patrick
2002
A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049
Bécache, E.; Joly, P.; Tsogka, C.
2002
Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156
Bécache, E.; Joly, P.; Tsogka, C.
2001
An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102
Bécache, E.; Joly, P.; Tsogka, C.
2000
An explicit finite element scheme for time-dependent Kirchhoff-Love equations. Zbl 1072.74546
Bécache, Éliane; Derveaux, Grégoire; Joly, Patrick
2000
Mixed finite elements and mass lumping for linear elastodynamics. I: Construction. (Éléments finis mixtes et condensation de masse en élastodynamique linéaire. I: Construction.) Zbl 0895.73064
Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula
1997
Construction and analysis of a new mixed finite element allowing mass lumping. (Étude d’un nouvel élément fini mixte permettant la condensation de masse.) Zbl 0877.65072
Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula
1997
A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem. Zbl 0817.73067
Bécache, E.; Ha Duong, T.
1994
Regularization in 3D for anisotropic elastodynamic crack and obstacle problems. Zbl 0773.73029
Becache, Eliane; Nedelec, Jean-Claude; Nishimura, Naoshi
1993
A variational boundary integral equation method for an elastodynamic antiplane crack. Zbl 0772.73088
Becache, E.
1993
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#### Cited by 426 Authors

 15 Bécache, Eliane 15 Joly, Patrick 9 Duru, Kenneth 9 Givoli, Dan 9 Huang, Yunqing 9 Kreiss, Gunilla 9 Li, Jichun 8 Bonnet-Ben Dhia, Anne-Sophie 8 Hagstrom, Thomas M. 7 Grote, Marcus J. 7 Kim, Seungil 6 Aimi, Alessandra 6 Diligenti, Mauro 6 Hu, Fang Qi 6 Kachanovska, Maryna 6 Rabinovich, Daniel 6 Tsogka, Chrysoula 5 Bielak, Jacobo 5 Guardasoni, Chiara 5 Halla, Martin 5 Mercier, Jean-François 5 Nannen, Lothar 5 Nataf, Frédéric 4 Barucq, Hélène 4 Diaz, Julien 4 Guddati, Murthy N. 4 Kaltenbacher, Barbara 4 Matuszyk, Paweł Jerzy 4 Mear, Mark E. 4 Rungamornrat, Jaroon 4 Tsynkov, Semyon V. 3 Acosta, Sebastian 3 Antoine, Xavier 3 Appelö, Daniel 3 Baffet, Daniel H. 3 Bonnet, Marc 3 Bourgeois, Laurent 3 Cockburn, Bernardo 3 Demkowicz, Leszek F. 3 Ezziani, Abdelaâziz 3 Geuzaine, Christophe A. 3 He, Limin 3 Hohage, Thorsten 3 Imperiale, Sébastien 3 Kallivokas, Loukas F. 3 Kaltenbacher, Manfred 3 Legendre, Guillaume 3 Lisitsa, Vadim 3 Nguyen, Loc Hoang 3 Piperno, Serge 3 Prieto, Andrés 3 Rodríguez, Jerónimo 3 Torres-Verdín, Carlos 3 Zhang, Wensheng 2 Basu, Ushnish 2 Belonosov, Andrey 2 Bermúdez, Alfredo 2 Boulaajine, L. 2 Chabassier, Juliette 2 Chapko, Roman 2 Chesnel, Lucas 2 Codina, Ramon 2 Colonius, Tim 2 Craster, Richard V. 2 Degrande, Geert 2 Duruflé, Marc 2 Farhloul, Mohamed 2 Fliss, Sonia 2 Gabriel, Alice-Agnes 2 Gatica, Gabriel N. 2 Gimperlein, Heiko 2 Halpern, Laurence 2 Han, Weimin 2 Hervella-Nieto, Luis 2 Johansson, B. Tomas 2 Kazakova, Maria 2 Li, Xiaodong 2 Lin, Dakai 2 Lunéville, Eric 2 Meddahi, Salim 2 Métivier, Ludovic 2 Modave, Axel 2 Münch, Arnaud 2 Nicholls, David P. 2 Nigam, Nilima 2 Nishimura, Naoshi 2 Özdemir, Ceyhun 2 Paquet, Luc 2 Pennanen, Anssi 2 Petersson, N. Anders 2 Qasimov, H. 2 Rauch, Jeffrey B. 2 Rodríguez, Rodolfo 2 Savadatti, Siddharth 2 Schanz, Martin 2 Scovazzi, Guglielmo 2 Shishlenin, Maxim Aleksandrovich 2 Sim, Imbo 2 Sjogreen, Bjorn 2 Skelton, Elizabeth A. ...and 326 more Authors
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#### Cited in 63 Serials

 71 Journal of Computational Physics 30 Computer Methods in Applied Mechanics and Engineering 19 International Journal for Numerical Methods in Engineering 19 Journal of Computational and Applied Mathematics 13 Wave Motion 9 Numerische Mathematik 8 Journal of Scientific Computing 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computers & Mathematics with Applications 7 Applied Numerical Mathematics 6 SIAM Journal on Numerical Analysis 6 Engineering Analysis with Boundary Elements 5 Computational Mechanics 5 Journal of Computational Acoustics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computers and Fluids 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Numerical Methods for Partial Differential Equations 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Calcolo 2 COMPEL 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Scientific Computing 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 2 Computational Geosciences 2 Mathematical Control and Related Fields 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Integral Equations and Operator Theory 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Science in China. Series A 1 Numerical Algorithms 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Inverse Problems in Science and Engineering 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 Symmetry 1 Communications in Applied and Industrial Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Séminaire Laurent Schwartz. EDP et Applications
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#### Cited in 21 Fields

 178 Numerical analysis (65-XX) 130 Partial differential equations (35-XX) 100 Mechanics of deformable solids (74-XX) 68 Fluid mechanics (76-XX) 52 Optics, electromagnetic theory (78-XX) 8 Geophysics (86-XX) 5 Functions of a complex variable (30-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Biology and other natural sciences (92-XX)