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Rapetti, Francesca

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Author ID: rapetti.francesca Recent zbMATH articles by "Rapetti, Francesca"
Published as: Rapetti, Francesca; Rapetti, F.
External Links: MGP
Documents Indexed: 61 Publications since 1995, including 1 Book

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 364 times in 273 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
42
2004
Numerical solution of the Monge–Ampère equation by a Newton’s algorithm. Zbl 1067.65119
Loeper, Grégoire; Rapetti, Francesca
32
2005
Basics and some applications of the mortar element method. Zbl 1177.65178
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
31
2005
Spectral element methods on triangles and quadrilaterals: Comparisons and applications. Zbl 1052.65109
Pasquetti, Richard; Rapetti, Francesca
27
2004
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
20
2009
Non-conforming high order approximations of the elastodynamics equation. Zbl 1243.74010
Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca
18
2012
Spectral element methods on unstructured meshes: comparisons and recent advances. Zbl 1102.65119
Pasquetti, Richard; Rapetti, Francesca
17
2006
On high order finite element spaces of differential forms. Zbl 1332.65163
Christiansen, Snorre H.; Rapetti, Francesca
15
2016
A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111
Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca
13
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
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
10
2003
High order edge elements on simplicial meshes. Zbl 1141.78014
Rapetti, Francesca
10
2007
The influence of quadrature formulas in 2D and 3D mortar element methods. Zbl 1007.65096
Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I.
9
2002
Dispersion analysis of triangle-based spectral element methods for elastic wave propagation. Zbl 1343.74050
Mazzieri, Ilario; Rapetti, Francesca
8
2012
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394
Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F.
8
2007
Spectral element methods on unstructured meshes: Which interpolation points? Zbl 1200.65096
Pasquetti, Richard; Rapetti, Francesca
8
2010
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
7
2004
High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality. Zbl 1360.78045
Bonazzoli, Marcella; Rapetti, Francesca
6
2017
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
The mortar edge element method in three dimensions: Application to magnetostatics. Zbl 1031.78013
Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F.
5
2003
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
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.
5
2003
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
4
2012
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
3
2006
Fekete-Gauss spectral elements for incompressible Navier-Stokes flows: the two-dimensional case. Zbl 1373.76031
Lazar, Laura; Pasquetti, Richard; Rapetti, Francesca
3
2013
\(p\)-multigrid method for Fekete-Gauss spectral element approximations of elliptic problems. Zbl 1364.65264
Pasquetti, Richard; Rapetti, Francesca
3
2009
On quasi-static models hidden in Maxwell’s equations. Zbl 1291.78019
Rapetti, Francesca; Rousseaux, Germain
3
2014
An overlapping mortar element approach to coupled magneto-mechanical problems. Zbl 1197.78063
Rapetti, Francesca
3
2010
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 magneto-mechanical damping machine: analysis, discretization, results. Zbl 1138.70312
Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F.
2
2002
Weights computation for simplicial Whitney forms of degree one. Zbl 1077.78016
Rapetti, Francesca
2
2005
Applications of the mortar element method to 3D electromagnetic moving structures. Zbl 1065.78017
Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca
2
2003
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.
2
2004
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
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
2
2015
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
1
2002
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
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
1
2005
A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries. Zbl 1375.78031
Heumann, Holger; Rapetti, Francesca
1
2017
Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes. Zbl 1380.65211
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
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.
1
2018
Cubature points based triangular spectral elements: an accuracy study. Zbl 1424.65234
Pasquetti, Richard; 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
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.
1
2018
Cubature points based triangular spectral elements: an accuracy study. Zbl 1424.65234
Pasquetti, Richard; 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
6
2017
A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries. Zbl 1375.78031
Heumann, Holger; Rapetti, Francesca
1
2017
Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes. Zbl 1380.65211
Pasquetti, Richard; Rapetti, Francesca
1
2017
On high order finite element spaces of differential forms. Zbl 1332.65163
Christiansen, Snorre H.; Rapetti, Francesca
15
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
2
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
18
2012
Dispersion analysis of triangle-based spectral element methods for elastic wave propagation. Zbl 1343.74050
Mazzieri, Ilario; Rapetti, Francesca
8
2012
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
4
2012
Spectral element methods on unstructured meshes: Which interpolation points? Zbl 1200.65096
Pasquetti, Richard; Rapetti, Francesca
8
2010
An overlapping mortar element approach to coupled magneto-mechanical problems. Zbl 1197.78063
Rapetti, Francesca
3
2010
Whitney forms of higher degree. Zbl 1195.78063
Rapetti, Francesca; Bossavit, Alain
20
2009
\(p\)-multigrid method for Fekete-Gauss spectral element approximations of elliptic problems. Zbl 1364.65264
Pasquetti, Richard; Rapetti, Francesca
3
2009
High order edge elements on simplicial meshes. Zbl 1141.78014
Rapetti, Francesca
10
2007
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394
Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F.
8
2007
Spectral element methods on unstructured meshes: comparisons and recent advances. Zbl 1102.65119
Pasquetti, Richard; Rapetti, Francesca
17
2006
Neumann-Neumann-Schur complement methods for Fekete spectral elements. Zbl 1110.65113
Pasquetti, Richard; Rapetti, Francesca; Pavarino, Luca; Zampieri, Elena
3
2006
Numerical solution of the Monge–Ampère equation by a Newton’s algorithm. Zbl 1067.65119
Loeper, Grégoire; Rapetti, Francesca
32
2005
Basics and some applications of the mortar element method. Zbl 1177.65178
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
31
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
2
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
1
2005
Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119
Bernardi, Christine; Maday, Yvon; Rapetti, Francesca
42
2004
Spectral element methods on triangles and quadrilaterals: Comparisons and applications. Zbl 1052.65109
Pasquetti, Richard; Rapetti, Francesca
27
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
7
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.
2
2004
Discrete vector potentials for nonsimply connected three-dimensional domains. Zbl 1048.78013
Rapetti, Francesca; Dubois, François; Bossavit, Alain
10
2003
The mortar edge element method in three dimensions: Application to magnetostatics. Zbl 1031.78013
Bouillault, F.; Buffa, A.; Maday, Y.; Rapetti, F.
5
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.
5
2003
Applications of the mortar element method to 3D electromagnetic moving structures. Zbl 1065.78017
Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca
2
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
Integer matrix factorization for mesh defect detection. Zbl 0997.65052
Rapetti, Francesca; Dubois, François; Bossavit, Alain
1
2002
Coupling between scalar and vector potentials by the mortar element method. Zbl 1002.65130
Maday, Yvon; Rapetti, Francesca; Wohlmuth, Barbara I.
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
13
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 top 5

Cited by 454 Authors

32 Rapetti, Francesca
16 Bernardi, Christine
12 Chacón Rebollo, Tomás
9 Maday, Yvon
9 Wohlmuth, Barbara I.
8 Hecht, Frédéric
8 Pasquetti, Richard
7 Christiansen, Snorre Harald
7 Mazzieri, Ilario
7 Quarteroni, Alfio M.
6 Antonietti, Paola Francesca
6 Gómez Mármol, Macarena
6 Pavarino, Luca Franco
5 Benamou, Jean-David
5 Bonazzoli, Marcella
5 Buffa, Annalisa
5 Froese, Brittany D.
5 Li, Huiyuan
5 Rubino, Samuele
5 Sommariva, Alvise
4 Alonso Rodríguez, Ana
4 Ciarlet, Patrick jun.
4 Dolean, Victorita
4 Guo, Ben-Yu
4 Mghazli, Zoubida
4 Oberman, Adam M.
4 Vianello, Marco
4 Yakoubi, Driss
3 Ben Belgacem, Faker
3 Bouillault, Frédéric
3 Dehghan Takht Fooladi, Mehdi
3 Deparis, Simone
3 Dumbser, Michael
3 Jun, Younbae
3 Kettunen, Lauri
3 Krause, Rolf H.
3 Passieux, Jean-Charles
3 Perugia, Ilaria
3 Sánchez Muñoz, Isabel
3 Warburton, Timothy
3 Zampieri, Elena
2 Abdulle, Assyr
2 Belhachmi, Zakaria
2 Bermúdez, Alfredo
2 Bochev, Pavel B.
2 Brezzi, Franco
2 Budd, Christopher John
2 Cajas, J. C.
2 Cyr, Eric C.
2 De Gersem, Herbert
2 Duval, Mickaël
2 Estep, Donald J.
2 Fakhar-Izadi, Farhad
2 Flemisch, Bernd
2 Froese Hamfeldt, Brittany
2 Gervasio, Paola
2 Gillette, Andrew
2 Giraldo, Francis X.
2 Girault, Vivette
2 Hauret, Patrice
2 Heinrichs, Wilhelm
2 Helenbrook, Brian T.
2 Hiptmair, Ralf
2 Hössjer, Ola G.
2 Houzeaux, Guillaume
2 Hu, Kaibo
2 Jamelot, Erell
2 Kokonendji, Célestin Clotaire
2 Kuberry, Paul Allen
2 Li, Jingliang
2 Licht, Martin Werner
2 Ma, Heping
2 Maarouf, Sarra
2 Mai, Tsun-Zee
2 Mascotto, Lorenzo
2 Mérigot, Quentin
2 Mirebeau, Jean-Marie
2 Mönkölä, Sanna
2 Neilan, Michael
2 Orfi, Ajmia Younes
2 Phillips, Edward G.
2 Piñeiro, Marta
2 Rey, Christian A.
2 Russell, Robert D.
2 Salaun, Michel
2 Salgado, Pilar
2 Sangalli, Giancarlo
2 Schöps, Sebastian
2 Schötzau, Dominik
2 Shadid, John N.
2 Smerzini, Chiara
2 Stefanica, Dan
2 Stiller, Jörg
2 Stupazzini, Marco
2 Tavelli, Maurizio
2 Tavener, Simon J.
2 Teixeira, Fernando L.
2 Toselli, Andrea
2 Vassilevski, Panayot Spirov
2 Vazquez, Mariano
...and 354 more Authors
all top 5

Cited in 71 Serials

36 Journal of Computational Physics
28 Computer Methods in Applied Mechanics and Engineering
14 Computers & Mathematics with Applications
13 SIAM Journal on Scientific Computing
12 Mathematics of Computation
12 Applied Numerical Mathematics
12 Journal of Scientific Computing
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Applied Mathematics and Computation
8 Journal of Computational and Applied Mathematics
8 Numerische Mathematik
6 Numerical Algorithms
5 COMPEL
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Computers and Fluids
4 Calcolo
4 International Journal for Numerical Methods in Engineering
3 Computational Mechanics
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Archives of Computational Methods in Engineering
2 Journal of Engineering Mathematics
2 Journal of Mathematical Biology
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Numerical Methods for Partial Differential Equations
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 S\(\vec{\text{e}}\)MA Journal
2 SIAM/ASA Journal on Uncertainty Quantification
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
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 Journal of Nonlinear Science
1 Test
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Journal of the European Mathematical Society (JEMS)
1 Foundations of Computational Mathematics
1 Sādhanā
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Inverse Problems and Imaging
1 Science China. Mathematics
1 Journal of Mathematics in Industry
1 ISRN Mathematical Physics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys

Citations by Year