Edit Profile (opens in new tab) Rapetti, Francesca Co-Author Distance Author ID: rapetti.francesca Published as: Rapetti, Francesca; Rapetti, F. External Links: MGP Documents Indexed: 71 Publications since 1995, including 1 Book and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 52 Co-Authors with 67 Joint Publications 1,589 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Maday, Yvon 12 Pasquetti, Richard 11 Alonso Rodríguez, Ana 7 Buffa, Annalisa 6 Bonazzoli, Marcella 5 Bossavit, Alain 5 Wohlmuth, Barbara I. 4 Bouillault, Frédéric 4 Dolean, Victorita 3 Bernardi, Christine 3 Bruno, Ludovico Bruni 3 Mazzieri, Ilario 2 Antonietti, Paola Francesca 2 Ben Belgacem, Faker 2 Christophe, Alexandra 2 Dubois, François 2 Faugeras, Blaise 2 Flemisch, Bernd 2 Hecht, Frédéric 2 Le Bihan, Yann 2 Pavarino, Luca Franco 2 Quarteroni, Alfio M. 2 Santandrea, Laurent 2 Venturini, Chiara 2 Zampieri, Elena 1 Arnold, Douglas Norman 1 Ben Abdallah, Adnene 1 Boulbe, Cédric 1 Camaño, Jessika 1 Christiansen, Snorre Harald 1 De Los Santos, Eduardo 1 Di Pietro, Daniele Antonio 1 Droniou, Jérôme 1 Elarif, Ali 1 Formaggia, Luca 1 Ghezzi, Luca Luigi 1 Gros, Guillaume 1 Heumann, Holger 1 Krebs, Guillaume 1 Lazar, Laura 1 Loeper, Grégoire 1 Manzi, Cristina 1 Pauly, Dirk 1 Razek, Adel 1 Rodríguez, Ana M. Alonso 1 Rousseaux, Germain 1 Sommariva, Alvise 1 Toselli, Andrea 1 Tournier, Pierre-Henri 1 Vianello, Marco 1 Zampa, Enrico 1 Zappon, Elena all top 5 Serials 5 Journal of Computational Physics 4 Numerical Algorithms 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 COMPEL 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 2 Calcolo 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Mathematics and Computers in Simulation 1 East-West Journal of Numerical Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 International Journal of Numerical Modelling 1 Journal of Mathematical Study 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Mathématiques & Applications (Berlin) all top 5 Fields 52 Numerical analysis (65-XX) 32 Optics, electromagnetic theory (78-XX) 23 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 545 times in 395 Documents Cited by ▼ Year ▼ Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 80 2004 Basics and some applications of the mortar element method. Zbl 1177.65178 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 41 2005 Numerical solution of the Monge–Ampère equation by a Newton’s algorithm. Zbl 1067.65119 Loeper, Grégoire; Rapetti, Francesca 39 2005 Whitney forms of higher degree. Zbl 1195.78063 Rapetti, Francesca; Bossavit, Alain 37 2009 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 32 2012 Spectral element methods on triangles and quadrilaterals: Comparisons and applications. Zbl 1052.65109 Pasquetti, Richard; Rapetti, Francesca 30 2004 On high order finite element spaces of differential forms. Zbl 1332.65163 Christiansen, Snorre H.; Rapetti, Francesca 24 2016 Spectral element methods on unstructured meshes: comparisons and recent advances. Zbl 1102.65119 Pasquetti, Richard; Rapetti, Francesca 20 2006 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 18 2001 Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173 Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca 14 2020 A FETI preconditioner for two dimensional edge element approximations of Maxwell’s equations on nonmatching grids. Zbl 0991.78030 Rapetti, Francesca; Toselli, Andrea 13 2001 High order edge elements on simplicial meshes. Zbl 1141.78014 Rapetti, Francesca 13 2007 Spectral element methods on unstructured meshes: Which interpolation points? Zbl 1200.65096 Pasquetti, Richard; Rapetti, Francesca 13 2010 Dispersion analysis of triangle-based spectral element methods for elastic wave propagation. Zbl 1343.74050 Mazzieri, Ilario; Rapetti, Francesca 12 2012 Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394 Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F. 11 2007 Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013 Rapetti, Francesca; Dubois, François; Bossavit, Alain 11 2003 High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality. Zbl 1360.78045 Bonazzoli, Marcella; Rapetti, Francesca 10 2017 The influence of quadrature formulas in 2D and 3D mortar element methods. Zbl 1007.65096 Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I. 9 2002 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017 Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 8 2004 A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries. Zbl 1375.78031 Heumann, Holger; Rapetti, Francesca 6 2017 A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements. Zbl 1401.65126 Alonso Rodríguez, A.; Camaño, J.; De Los Santos, E.; Rapetti, F. 6 2018 Mortar element coupling between global scalar and local vector potentials to solve eddy current problems. Zbl 1062.78014 Maday, Y.; Rapetti, F.; Wohlmuth, B. I. 6 2003 On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193 Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco 6 2012 The mortar edge element method in three dimensions: Application to magnetostatics. Zbl 1031.78013 Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F. 6 2003 Simulation of a coupled magneto-mechanical system through the sliding-mesh mortar element method. Zbl 0966.78012 Rapetti, F.; Buffa, A.; Bouillault, F.; Maday, Y. 5 2000 Scalar and vector potentials’ coupling on nonmatching grids for the simulation of an electromagnetic brake. Zbl 1115.78329 Flemisch, Bernd; Wohlmuth, Barbara; Rapetti, Francesca; Maday, Yvon 5 2005 \(p\)-multigrid method for Fekete-Gauss spectral element approximations of elliptic problems. Zbl 1364.65264 Pasquetti, Richard; Rapetti, Francesca 4 2009 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 Neumann-Neumann-Schur complement methods for Fekete spectral elements. Zbl 1110.65113 Pasquetti, Richard; Rapetti, Francesca; Pavarino, Luca; Zampieri, Elena 4 2006 An overlapping mortar element approach to coupled magneto-mechanical problems. Zbl 1197.78063 Rapetti, Francesca 4 2010 Fekete-Gauss spectral elements for incompressible Navier-Stokes flows: the two-dimensional case. Zbl 1373.76031 Lazar, Laura; Pasquetti, Richard; Rapetti, Francesca 3 2013 A mortar element approach on overlapping non-nested grids: application to eddy current non-destructive testing. Zbl 1410.78026 Christophe, Alexandra; Le Bihan, Yann; Rapetti, Francesca 3 2015 On quasi-static models hidden in Maxwell’s equations. Zbl 1291.78019 Rapetti, Francesca; Rousseaux, Germain 3 2014 Weights computation for simplicial Whitney forms of degree one. Zbl 1077.78016 Rapetti, Francesca 3 2005 Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor. Zbl 1059.78033 Flemisch, B.; Maday, Y.; Rapetti, F.; Wohlmuth, B. I. 3 2004 Minimal sets of unisolvent weights for high order Whitney forms on simplices. Zbl 1470.65192 Alonso Rodríguez, Ana; Bruno, Ludovico Bruni; Rapetti, Francesca 3 2021 Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements. Zbl 1501.65100 Alonso Rodríguez, Ana; Bruno, Ludovico Bruni; Rapetti, F. 3 2022 Applications of the mortar element method to 3D electromagnetic moving structures. Zbl 1065.78017 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 3 2003 Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes. Zbl 1380.65211 Pasquetti, Richard; Rapetti, Francesca 2 2017 Simulation of a magneto-mechanical damping machine: analysis, discretization, results. Zbl 1138.70312 Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F. 2 2002 The mortar edge element model on non-matching grids for eddy current calculations in moving structures. Zbl 0994.78013 Rapetti, F. 2 2001 Cubature points based triangular spectral elements: an accuracy study. Zbl 1424.65234 Pasquetti, Richard; Rapetti, Francesca 2 2018 A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108 Bossavit, Alain; Rapetti, Francesca 2 2005 Spectral element methods on simplicial meshes. Zbl 1282.65157 Pasquetti, Richard; Rapetti, Francesca 2 2014 Numerical analysis of a model for an axisymmetric guide for electromagnetic waves. I: The continuous problem and its Fourier expansion. Zbl 1125.35099 Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca 2 2005 Small trees for high order Whitney elements. Zbl 1484.65290 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2020 On a generalization of the Lebesgue’s constant. Zbl 07511415 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2021 Some remarks on spanning families and weights for high order Whitney spaces on simplices. Zbl 1443.65305 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2019 Coupling between scalar and vector potentials by the mortar element method. Zbl 1002.65130 Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I. 1 2002 Calculation of eddy currents in moving structures using a finite element method on non-matching grids. Zbl 0965.78013 Rapetti, F.; Santandrea, L.; Bouillault, F.; Razek, A. 1 2000 Integer matrix factorization for mesh defect detection. Zbl 0997.65052 Rapetti, Francesca; Dubois, François; Bossavit, Alain 1 2002 An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations. Zbl 1409.65088 Bonazzoli, Marcella; Dolean, Victorita; Hecht, Frédéric; Rapetti, Francesca 1 2018 Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell’s equations. Zbl 1371.78313 Bonazzoli, Marcella; Dolean, Victorita; Pasquetti, Richard; Rapetti, Francesca 1 2017 Mortar FEs on overlapping subdomains for eddy current non destructive testing. Zbl 1323.78014 Christophe, Alexandra; Rapetti, Francesca; Santandrea, Laurent; Krebs, Guillaume; Le Bihan, Yann 1 2015 Whitney forms, from manifolds to fields. Zbl 1282.65147 Bossavit, Alain; Rapetti, Francesca 1 2014 The discrete relations between fields and potentials with high order Whitney forms. Zbl 1427.65377 Rodríguez, Ana M. Alonso; Rapetti, Francesca 1 2018 Tokamak free-boundary plasma equilibrium computation using finite elements of class \(\mathcal{C}^0\) and \(\mathcal{C}^1\) within a mortar element approach. Zbl 07512329 Elarif, Ali; Faugeras, Blaise; Rapetti, Francesca 1 2021 Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms. Zbl 1516.65144 Zampa, Enrico; Alonso Rodríguez, Ana; Rapetti, Francesca 1 2023 Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms. Zbl 1516.65144 Zampa, Enrico; Alonso Rodríguez, Ana; Rapetti, Francesca 1 2023 Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements. Zbl 1501.65100 Alonso Rodríguez, Ana; Bruno, Ludovico Bruni; Rapetti, F. 3 2022 Minimal sets of unisolvent weights for high order Whitney forms on simplices. Zbl 1470.65192 Alonso Rodríguez, Ana; Bruno, Ludovico Bruni; Rapetti, Francesca 3 2021 On a generalization of the Lebesgue’s constant. Zbl 07511415 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2021 Tokamak free-boundary plasma equilibrium computation using finite elements of class \(\mathcal{C}^0\) and \(\mathcal{C}^1\) within a mortar element approach. Zbl 07512329 Elarif, Ali; Faugeras, Blaise; Rapetti, Francesca 1 2021 Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. Zbl 1451.65173 Di Pietro, Daniele A.; Droniou, Jérôme; Rapetti, Francesca 14 2020 Small trees for high order Whitney elements. Zbl 1484.65290 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2020 Some remarks on spanning families and weights for high order Whitney spaces on simplices. Zbl 1443.65305 Alonso Rodríguez, Ana; Rapetti, Francesca 2 2019 A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements. Zbl 1401.65126 Alonso Rodríguez, A.; Camaño, J.; De Los Santos, E.; Rapetti, F. 6 2018 Cubature points based triangular spectral elements: an accuracy study. Zbl 1424.65234 Pasquetti, Richard; Rapetti, Francesca 2 2018 An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations. Zbl 1409.65088 Bonazzoli, Marcella; Dolean, Victorita; Hecht, Frédéric; Rapetti, Francesca 1 2018 The discrete relations between fields and potentials with high order Whitney forms. Zbl 1427.65377 Rodríguez, Ana M. Alonso; Rapetti, Francesca 1 2018 High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality. Zbl 1360.78045 Bonazzoli, Marcella; Rapetti, Francesca 10 2017 A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries. Zbl 1375.78031 Heumann, Holger; Rapetti, Francesca 6 2017 Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes. Zbl 1380.65211 Pasquetti, Richard; Rapetti, Francesca 2 2017 Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell’s equations. Zbl 1371.78313 Bonazzoli, Marcella; Dolean, Victorita; Pasquetti, Richard; Rapetti, Francesca 1 2017 On high order finite element spaces of differential forms. Zbl 1332.65163 Christiansen, Snorre H.; Rapetti, Francesca 24 2016 A mortar element approach on overlapping non-nested grids: application to eddy current non-destructive testing. Zbl 1410.78026 Christophe, Alexandra; Le Bihan, Yann; Rapetti, Francesca 3 2015 Mortar FEs on overlapping subdomains for eddy current non destructive testing. Zbl 1323.78014 Christophe, Alexandra; Rapetti, Francesca; Santandrea, Laurent; Krebs, Guillaume; Le Bihan, Yann 1 2015 High order space-time discretization for elastic wave propagation problems. Zbl 1417.74012 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 4 2014 On quasi-static models hidden in Maxwell’s equations. Zbl 1291.78019 Rapetti, Francesca; Rousseaux, Germain 3 2014 Spectral element methods on simplicial meshes. Zbl 1282.65157 Pasquetti, Richard; Rapetti, Francesca 2 2014 Whitney forms, from manifolds to fields. Zbl 1282.65147 Bossavit, Alain; Rapetti, Francesca 1 2014 Fekete-Gauss spectral elements for incompressible Navier-Stokes flows: the two-dimensional case. Zbl 1373.76031 Lazar, Laura; Pasquetti, Richard; Rapetti, Francesca 3 2013 Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010 Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca 32 2012 Dispersion analysis of triangle-based spectral element methods for elastic wave propagation. Zbl 1343.74050 Mazzieri, Ilario; Rapetti, Francesca 12 2012 On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193 Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco 6 2012 Spectral element methods on unstructured meshes: Which interpolation points? Zbl 1200.65096 Pasquetti, Richard; Rapetti, Francesca 13 2010 An overlapping mortar element approach to coupled magneto-mechanical problems. Zbl 1197.78063 Rapetti, Francesca 4 2010 Whitney forms of higher degree. Zbl 1195.78063 Rapetti, Francesca; Bossavit, Alain 37 2009 \(p\)-multigrid method for Fekete-Gauss spectral element approximations of elliptic problems. Zbl 1364.65264 Pasquetti, Richard; Rapetti, Francesca 4 2009 High order edge elements on simplicial meshes. Zbl 1141.78014 Rapetti, Francesca 13 2007 Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394 Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F. 11 2007 Spectral element methods on unstructured meshes: comparisons and recent advances. Zbl 1102.65119 Pasquetti, Richard; Rapetti, Francesca 20 2006 Neumann-Neumann-Schur complement methods for Fekete spectral elements. Zbl 1110.65113 Pasquetti, Richard; Rapetti, Francesca; Pavarino, Luca; Zampieri, Elena 4 2006 Basics and some applications of the mortar element method. Zbl 1177.65178 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 41 2005 Numerical solution of the Monge–Ampère equation by a Newton’s algorithm. Zbl 1067.65119 Loeper, Grégoire; Rapetti, Francesca 39 2005 Scalar and vector potentials’ coupling on nonmatching grids for the simulation of an electromagnetic brake. Zbl 1115.78329 Flemisch, Bernd; Wohlmuth, Barbara; Rapetti, Francesca; Maday, Yvon 5 2005 Weights computation for simplicial Whitney forms of degree one. Zbl 1077.78016 Rapetti, Francesca 3 2005 A prolongation/restriction operator for Whitney elements on simplicial meshes. Zbl 1109.65108 Bossavit, Alain; Rapetti, Francesca 2 2005 Numerical analysis of a model for an axisymmetric guide for electromagnetic waves. I: The continuous problem and its Fourier expansion. Zbl 1125.35099 Ben Belgacem, Faker; Bernardi, Christine; Rapetti, Francesca 2 2005 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 80 2004 Spectral element methods on triangles and quadrilaterals: Comparisons and applications. Zbl 1052.65109 Pasquetti, Richard; Rapetti, Francesca 30 2004 Mortaring the two-dimensional edge finite elements for the discretization of some electromagnetic models. Zbl 1100.78017 Ben Abdallah, Adnene; Ben Belgacem, Faker; Maday, Yvon; Rapetti, Francesca 8 2004 Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor. Zbl 1059.78033 Flemisch, B.; Maday, Y.; Rapetti, F.; Wohlmuth, B. I. 3 2004 Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013 Rapetti, Francesca; Dubois, François; Bossavit, Alain 11 2003 Mortar element coupling between global scalar and local vector potentials to solve eddy current problems. Zbl 1062.78014 Maday, Y.; Rapetti, F.; Wohlmuth, B. I. 6 2003 The mortar edge element method in three dimensions: Application to magnetostatics. Zbl 1031.78013 Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F. 6 2003 Applications of the mortar element method to 3D electromagnetic moving structures. Zbl 1065.78017 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 3 2003 The influence of quadrature formulas in 2D and 3D mortar element methods. Zbl 1007.65096 Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I. 9 2002 Simulation of a magneto-mechanical damping machine: analysis, discretization, results. Zbl 1138.70312 Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F. 2 2002 Coupling between scalar and vector potentials by the mortar element method. Zbl 1002.65130 Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I. 1 2002 Integer matrix factorization for mesh defect detection. Zbl 0997.65052 Rapetti, Francesca; Dubois, François; Bossavit, Alain 1 2002 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 18 2001 A FETI preconditioner for two dimensional edge element approximations of Maxwell’s equations on nonmatching grids. Zbl 0991.78030 Rapetti, Francesca; Toselli, Andrea 13 2001 The mortar edge element model on non-matching grids for eddy current calculations in moving structures. Zbl 0994.78013 Rapetti, F. 2 2001 Simulation of a coupled magneto-mechanical system through the sliding-mesh mortar element method. Zbl 0966.78012 Rapetti, F.; Buffa, A.; Bouillault, F.; Maday, Y. 5 2000 Calculation of eddy currents in moving structures using a finite element method on non-matching grids. Zbl 0965.78013 Rapetti, F.; Santandrea, L.; Bouillault, F.; Razek, A. 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 628 Authors 43 Rapetti, Francesca 24 Bernardi, Christine 18 Chacón Rebollo, Tomás 13 Mazzieri, Ilario 11 Alonso Rodríguez, Ana 11 Antonietti, Paola Francesca 10 Maday, Yvon 10 Quarteroni, Alfio M. 10 Wohlmuth, Barbara I. 9 Di Pietro, Daniele Antonio 9 Droniou, Jérôme 9 Gómez Mármol, Macarena 9 Hecht, Frédéric 9 Pasquetti, Richard 9 Yakoubi, Driss 8 Christiansen, Snorre Harald 7 Sayah, Toni 6 Li, Huiyuan 6 Pavarino, Luca Franco 6 Rubino, Samuele 5 Ben Belgacem, Faker 5 Benamou, Jean-David 5 Bonazzoli, Marcella 5 Buffa, Annalisa 5 Chorfi, Nejmeddine 5 Deparis, Simone 5 Froese, Brittany D. 5 Guo, Ben-Yu 5 Omnes, Pascal 5 Sommariva, Alvise 5 Vianello, Marco 4 Abdelwahed, Mohamed 4 Bruno, Ludovico Bruni 4 Ciarlet, Patrick jun. 4 Dolean, Victorita 4 Gervasio, Paola 4 Kettunen, Lauri 4 Lohi, Jonni 4 Maarouf, Sarra 4 Mghazli, Zoubida 4 Oberman, Adam M. 4 Sánchez Muñoz, Isabel 4 Schöps, Sebastian 4 Stupazzini, Marco 3 An, Jing 3 Beirão da Veiga, Lourenço 3 Bochev, Pavel B. 3 Bouillault, Frédéric 3 Cyr, Eric C. 3 Daikh, Yasmina 3 Dassi, Franco 3 Dehghan Takht Fooladi, Mehdi 3 Delgado Ávila, Enrique 3 Dumbser, Michael 3 Froese Hamfeldt, Brittany 3 Gerritsma, Marc I. 3 Hu, Kaibo 3 Jun, Younbae 3 Krause, Rolf H. 3 Kuberry, Paul Allen 3 Licht, Martin Werner 3 Mascotto, Lorenzo 3 Mönkölä, Sanna 3 Palha, Artur 3 Passieux, Jean-Charles 3 Perugia, Ilaria 3 Phillips, Edward G. 3 Shadid, John N. 3 Smerzini, Chiara 3 Vohralík, Martin 3 Wang, Lilian 3 Warburton, Timothy 3 Zampieri, Elena 3 Zappon, Elena 2 Abdulle, Assyr 2 Agroum, Rahma 2 Bader, Michael 2 Belhachmi, Zakaria 2 Bermúdez, Alfredo 2 Brezzi, Franco 2 Budd, Christopher John 2 Cajas, Juan Carlos 2 Camaño, Jessika 2 Carstensen, Carsten 2 Chacón Vera, Eliseo 2 Chamoin, Ludovic 2 Christophe, Alexandra 2 Chung, Tsz Shun Eric 2 Copetti, Maria Inês M. 2 De Gersem, Herbert 2 De Los Santos, Eduardo 2 Devloo, Philippe Remy Bernard 2 Du, Jie 2 Duval, Mickaël 2 Estep, Donald J. 2 Fakhar-Izadi, Farhad 2 Faugeras, Blaise 2 Flemisch, Bernd 2 Gillette, Andrew 2 Giraldo, Francis X. ...and 528 more Authors all top 5 Cited in 89 Serials 49 Journal of Computational Physics 42 Computer Methods in Applied Mechanics and Engineering 20 Computers & Mathematics with Applications 20 Journal of Scientific Computing 16 SIAM Journal on Scientific Computing 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Mathematics of Computation 13 Journal of Computational and Applied Mathematics 13 Applied Numerical Mathematics 9 Applied Mathematics and Computation 9 Numerical Algorithms 8 Calcolo 8 Numerische Mathematik 7 Advances in Computational Mathematics 6 SIAM Journal on Numerical Analysis 6 Numerical Methods for Partial Differential Equations 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 COMPEL 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Computers and Fluids 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 4 Communications in Computational Physics 4 S\(\vec{\text{e}}\)MA Journal 3 Mathematics and Computers in Simulation 3 Computational and Applied Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Archives of Computational Methods in Engineering 3 Foundations of Computational Mathematics 3 Boundary Value Problems 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Engineering Analysis with Boundary Elements 2 International Journal of Numerical Modelling 2 Computational Methods in Applied Mathematics 2 Journal of Computational Acoustics 2 GAMM-Mitteilungen 2 Advances in Mathematical Physics 2 Journal of Mathematics in Industry 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Wave Motion 1 BIT 1 Computing 1 Numerical Functional Analysis and Optimization 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Test 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Journal of Computational Neuroscience 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Modelling and Analysis 1 Sādhanā 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Inverse Problems and Imaging 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 International Journal of Numerical Methods and Applications 1 ISRN Mathematical Physics 1 Advances in Nonlinear Analysis 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Mathematics in Engineering 1 Communications on Applied Mathematics and Computation all top 5 Cited in 33 Fields 335 Numerical analysis (65-XX) 153 Partial differential equations (35-XX) 89 Fluid mechanics (76-XX) 59 Mechanics of deformable solids (74-XX) 59 Optics, electromagnetic theory (78-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Approximations and expansions (41-XX) 14 Geophysics (86-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Computer science (68-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year