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Perugia, Ilaria

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 Author ID: perugia.ilaria Published as: Perugia, Ilaria; Perugia, I. External Links: MGP · ORCID
 Documents Indexed: 70 Publications since 1993
all top 5

Co-Authors

 4 single-authored 17 Schötzau, Dominik 12 Hiptmair, Ralf 12 Moiola, Andrea 10 Houston, Paul 5 Buffa, Annalisa 4 Bonizzoni, Francesca 4 Gedicke, Joscha 4 Mascotto, Lorenzo 3 Cockburn, Bernardo 3 Congreve, Scott 3 Lovadina, Carlo 3 Nobile, Fabio 3 Pichler, Alexander 3 Schneebeli, Anna 2 Antonietti, Paola Francesca 2 Castillo, Paul E. 2 Cavalli, Fausto 2 Geevers, Sjoerd 2 Hansbo, Peter 2 Naldi, Giovanni 2 Pradovera, Davide 2 Sangalli, Giancarlo 2 Schöberl, Joachim 2 Simoncini, Valeria 1 Arioli, Mario 1 Boffi, Daniele 1 Braukhoff, Marcel 1 Davide, Zaliani 1 Di Barba, Paolo 1 Gastaldi, Lucia 1 Gittelson, Claude Jeffrey 1 Jüngel, Ansgar 1 Kanschat, Guido 1 Kretzschmar, Fritz 1 Melenk, Jens Markus 1 Monk, Peter B. 1 Pietra, Paola 1 Rieder, Alexander 1 Russo, Alessandro 1 Savini, Antonio 1 Scapolla, Terenzio 1 Schnepp, Sascha M. 1 Schwab, Christoph 1 Stocker, Paul 1 Warburton, Timothy 1 Warsa, James S. 1 Wintersteiger, Christoph M.
all top 5

Serials

 8 SIAM Journal on Numerical Analysis 6 Journal of Scientific Computing 5 Numerische Mathematik 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computer Methods in Applied Mechanics and Engineering 3 Computers & Mathematics with Applications 3 Mathematics of Computation 3 COMPEL 3 SIAM Journal on Scientific Computing 2 IMA Journal of Numerical Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Advances in Computational Mathematics 1 IMA Journal of Applied Mathematics 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Foundations of Computational Mathematics 1 Communications in Applied and Industrial Mathematics 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA
all top 5

Fields

 54 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 27 Optics, electromagnetic theory (78-XX) 6 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

63 Publications have been cited 1,470 times in 921 Documents Cited by Year
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
2000
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
2001
Plane wave discontinuous Galerkin methods: Analysis of the $$h$$-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
2009
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $$p$$-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
2011
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
2000
An $$hp$$-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
2002
Computational models of electromagnetic resonators: Analysis of edge element approximation. Zbl 1025.78014
Boffi, D.; Fernandes, P.; Gastaldi, L.; Perugia, I.
1999
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2004
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
2016
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
2002
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
The $$hp$$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
2003
Discontinuous Galerkin approximation of the Maxwell eigenproblem. Zbl 1344.65110
Buffa, Annalisa; Perugia, Ilaria
2006
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Zbl 1066.65125
Hansbo, Peter; Lovadina, Carlo; Perugia, Ilaria; Sangalli, Giancarlo
2005
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2013
Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410
Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria
2006
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2016
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2005
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
2007
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2011
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2014
Plane wave discontinuous Galerkin methods: exponential convergence of the $$hp$$-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
2016
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2005
On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117
Perugia, Ilaria; Schötzau, Dominik
2001
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz $$hp$$-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
2014
Non-conforming harmonic virtual element method: $$h$$- and $$p$$-versions. Zbl 1406.65117
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2018
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems. Zbl 1433.65240
Kretzschmar, Fritz; Moiola, Andrea; Perugia, Ilaria; Schnepp, Sascha M.
2016
An a posteriori error indicator for discontinuous Galerkin discretizations of $$H$$(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2007
Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012
Perugia, I.; Simoncini, V.; Arioli, M.
1999
$$hp$$-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
2003
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121
Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D.
2002
Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016
Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D.
2001
Vector potential formulation for magnetostatics and modelling of permanent magnets. Zbl 0985.78005
Fernandes, P.; Perugia, I.
2001
A field-based mixed formulation for the two-dimensional magnetostatic problem. Zbl 0896.65087
Perugia, I.
1997
A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects. Zbl 1440.65251
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2019
The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246
Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim
2009
A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Zbl 1421.65026
Moiola, Andrea; Perugia, Ilaria
2018
Mixed finite element methods and tree-cotree implicit condensation. Zbl 0940.65123
Alotto, P.; Perugia, I.
1999
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
2009
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
A mixed formulation for 3D magnetostatic problems: Theoretical analysis and face-edge finite element approximation. Zbl 1033.78010
Perugia, I.
1999
A field-based finite element method for magnetostatics derived from an error minimization approach. Zbl 1028.78518
Alotto, P.; Perugia, I.
2000
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
2018
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260
Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani
2015
Tent pitching and Trefftz-DG method for the acoustic wave equation. Zbl 1447.65087
Perugia, Ilaria; Schöberl, Joachim; Stocker, Paul; Wintersteiger, Christoph
2020
A nonconforming Trefftz virtual element method for the Helmholtz problem. Zbl 1431.65218
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2019
Discontinuous Galerkin approximation of relaxation models for linear and nonlinear diffusion equations. Zbl 1273.65137
Cavalli, Fausto; Naldi, Giovanni; Perugia, Ilaria
2012
Robust adaptive $$hp$$ discontinuous Galerkin finite element methods for the Helmholtz equation. Zbl 1414.65029
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria
2019
Adaptive refinement for $$hp$$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2019
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. Zbl 1442.65369
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria
2020
Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods. Zbl 1427.65355
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria
2018
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 07283112
Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
2020
Recent experiences on mixed finite elements for 2D simulations of magnetic fields. Zbl 0932.78011
Di Barba, P.; Perugia, I.; Savini, A.
1998
An adaptive mixed formulation for 3D magnetostatics. Zbl 0965.78012
Alotto, P.; Perugia, I.
2000
Optimal rectangular MITC finite elements for Reissner-Mindlin plates. Zbl 0881.73129
Perugia, Ilaria; Scapolla, Terenzio
1997
On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086
Perugia, Ilaria; Schötzau, Dominik; Warsa, James
2004
A Lagrange multiplier method for elliptic interface problems using non-matching meshes. Zbl 1229.65214
Hansbo, P.; Lovadina, C.; Perugia, I.; Sangalli, G.
2005
A class of quadrilateral finite elements for the Stokes problem. Zbl 0785.76043
Perugia, Ilaria
1993
A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems. Zbl 07383919
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim
2021
A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems. Zbl 07383919
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim
2021
Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide
2020
Tent pitching and Trefftz-DG method for the acoustic wave equation. Zbl 1447.65087
Perugia, Ilaria; Schöberl, Joachim; Stocker, Paul; Wintersteiger, Christoph
2020
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. Zbl 1442.65369
Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria
2020
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 07283112
Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
2020
A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects. Zbl 1440.65251
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2019
A nonconforming Trefftz virtual element method for the Helmholtz problem. Zbl 1431.65218
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2019
Robust adaptive $$hp$$ discontinuous Galerkin finite element methods for the Helmholtz equation. Zbl 1414.65029
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria
2019
Adaptive refinement for $$hp$$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105
Congreve, Scott; Houston, Paul; Perugia, Ilaria
2019
Non-conforming harmonic virtual element method: $$h$$- and $$p$$-versions. Zbl 1406.65117
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander
2018
A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Zbl 1421.65026
Moiola, Andrea; Perugia, Ilaria
2018
Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079
Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria
2018
Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods. Zbl 1427.65355
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria
2018
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
2016
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2016
Plane wave discontinuous Galerkin methods: exponential convergence of the $$hp$$-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
2016
A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems. Zbl 1433.65240
Kretzschmar, Fritz; Moiola, Andrea; Perugia, Ilaria; Schnepp, Sascha M.
2016
Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260
Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani
2015
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2014
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz $$hp$$-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
2014
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2013
Discontinuous Galerkin approximation of relaxation models for linear and nonlinear diffusion equations. Zbl 1273.65137
Cavalli, Fausto; Naldi, Giovanni; Perugia, Ilaria
2012
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $$p$$-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
2011
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2011
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Plane wave discontinuous Galerkin methods: Analysis of the $$h$$-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
2009
The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246
Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim
2009
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
2009
Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007
Buffa, Annalisa; Houston, Paul; Perugia, Ilaria
2007
An a posteriori error indicator for discontinuous Galerkin discretizations of $$H$$(curl)-elliptic partial differential equations. Zbl 1148.65088
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2007
Discontinuous Galerkin approximation of the Maxwell eigenproblem. Zbl 1344.65110
Buffa, Annalisa; Perugia, Ilaria
2006
Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410
Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria
2006
Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Zbl 1066.65125
Hansbo, Peter; Lovadina, Carlo; Perugia, Ilaria; Sangalli, Giancarlo
2005
Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106
Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik
2005
A Lagrange multiplier method for elliptic interface problems using non-matching meshes. Zbl 1229.65214
Hansbo, P.; Lovadina, C.; Perugia, I.; Sangalli, G.
2005
Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115
Houston, Paul; Perugia, Ilaria; Schötzau, Dominik
2004
On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086
Perugia, Ilaria; Schötzau, Dominik; Warsa, James
2004
The $$hp$$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007
Perugia, Ilaria; Schötzau, Dominik
2003
$$hp$$-DGFEM for Maxwell’s equations. Zbl 1061.78012
Houston, P.; Perugia, I.; Schötzau, D.
2003
An $$hp$$-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060
Perugia, Ilaria; Schötzau, Dominik
2002
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
2002
Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121
Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D.
2002
Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080
Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik
2001
On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117
Perugia, Ilaria; Schötzau, Dominik
2001
Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016
Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D.
2001
Vector potential formulation for magnetostatics and modelling of permanent magnets. Zbl 0985.78005
Fernandes, P.; Perugia, I.
2001
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111
Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik
2000
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
2000
A field-based finite element method for magnetostatics derived from an error minimization approach. Zbl 1028.78518
Alotto, P.; Perugia, I.
2000
An adaptive mixed formulation for 3D magnetostatics. Zbl 0965.78012
Alotto, P.; Perugia, I.
2000
Computational models of electromagnetic resonators: Analysis of edge element approximation. Zbl 1025.78014
Boffi, D.; Fernandes, P.; Gastaldi, L.; Perugia, I.
1999
Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012
Perugia, I.; Simoncini, V.; Arioli, M.
1999
Mixed finite element methods and tree-cotree implicit condensation. Zbl 0940.65123
Alotto, P.; Perugia, I.
1999
A mixed formulation for 3D magnetostatic problems: Theoretical analysis and face-edge finite element approximation. Zbl 1033.78010
Perugia, I.
1999
Recent experiences on mixed finite elements for 2D simulations of magnetic fields. Zbl 0932.78011
Di Barba, P.; Perugia, I.; Savini, A.
1998
A field-based mixed formulation for the two-dimensional magnetostatic problem. Zbl 0896.65087
Perugia, I.
1997
Optimal rectangular MITC finite elements for Reissner-Mindlin plates. Zbl 0881.73129
Perugia, Ilaria; Scapolla, Terenzio
1997
A class of quadrilateral finite elements for the Stokes problem. Zbl 0785.76043
Perugia, Ilaria
1993
all top 5

Cited by 1,149 Authors

 34 Perugia, Ilaria 29 Cockburn, Bernardo 27 Li, Jichun 21 Schötzau, Dominik 20 Shu, Chi-Wang 19 Huang, Yunqing 18 Antonietti, Paola Francesca 18 Beirão da Veiga, Lourenço 16 Houston, Paul 15 Baccouch, Mahboub 14 Castillo, Paul E. 13 Hiptmair, Ralf 12 Buffa, Annalisa 11 Boffi, Daniele 11 Moiola, Andrea 11 Mora, David 11 Wei, LeiLei 10 Mascotto, Lorenzo 10 Monk, Peter B. 10 Yang, Wei 10 Yuan, Long 9 Dawson, Clint N. 9 Di Pietro, Daniele Antonio 9 Giani, Stefano 9 Hu, Qiya 9 Pani, Amiya Kumar 9 Russo, Alessandro 9 Verani, Marco 9 Wihler, Thomas Pascal 8 Brezzi, Franco 8 Bustinza, Rommel A. 8 Chung, Tsz Shun Eric 8 Duan, Huoyuan 8 Gómez, Sergio Alejandro 8 Gudi, Thirupathi 8 Guo, Hui 8 He, Yinnian 8 Li, Fengyan 8 Sayas, Francisco-Javier 7 Cangiani, Andrea 7 Georgoulis, Emmanuil H. 7 Kanschat, Guido 7 Ma, Changfeng 7 Manzini, Gianmarco 7 Marini, Luisa Donatella 7 Vacca, Giuseppe 7 Xu, Yan 7 Yang, Yang 7 Yu, Xijun 7 Zhang, Qiang 7 Zhang, Xindong 6 Bergamaschi, Luca 6 Chen, Yanping 6 Demkowicz, Leszek F. 6 Gopalakrishnan, Jayadeep 6 Huang, Jianguo 6 Huang, Na 6 Lin, Yanping 6 Lovadina, Carlo 6 Proft, Jennifer 6 Tan, Roger C. E. 6 Yadav, Sangita 6 Yang, Jiming 5 Bertoluzza, Silvia 5 Brenner, Susanne Cecelia 5 Campos Pinto, Martin 5 Cheng, Yao 5 Dassi, Franco 5 De Simone, Valentina 5 di Serafino, Daniela 5 Ern, Alexandre 5 Feng, Xiaobing 5 Gastaldi, Lucia 5 Guo, Wei 5 Huang, Xuehai 5 Lanteri, Stéphane 5 Mazzieri, Ilario 5 Mohamed, M. Shadi 5 Nicaise, Serge 5 Sangalli, Giancarlo 5 Schnepp, Sascha M. 5 Simoncini, Valeria 5 van der Vegt, Jaap J. W. 5 Velásquez, Iván G. 5 Wu, Haijun 4 An, Na 4 Barrios, Tomás P. 4 Cheng, Yingda 4 Dong, Bo 4 Ferronato, Massimiliano 4 Fu, Guosheng 4 Gatica, Gabriel N. 4 Huang, Chaobao 4 Huang, Ting-Zhu 4 Imbert-Gérard, Lise-Marie 4 Ladevèze, Pierre 4 Li, Cuixia 4 Liu, Hailiang 4 Nguyen, Ngoc Cuong 4 Park, Eun-Jae ...and 1,049 more Authors
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Cited in 111 Serials

 97 Journal of Scientific Computing 79 Computer Methods in Applied Mechanics and Engineering 62 Journal of Computational Physics 55 Journal of Computational and Applied Mathematics 54 Mathematics of Computation 50 Computers & Mathematics with Applications 34 Applied Mathematics and Computation 32 Numerische Mathematik 27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 26 Applied Numerical Mathematics 25 SIAM Journal on Scientific Computing 21 International Journal for Numerical Methods in Engineering 21 Numerical Methods for Partial Differential Equations 20 SIAM Journal on Numerical Analysis 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Numerical Algorithms 13 Calcolo 13 Engineering Analysis with Boundary Elements 12 Advances in Computational Mathematics 8 Computational Mechanics 8 Computational and Applied Mathematics 8 Computational Methods in Applied Mathematics 7 BIT 6 Applicable Analysis 6 Computers and Fluids 6 COMPEL 6 Applied Mathematics Letters 6 Applied Mathematical Modelling 6 International Journal of Computer Mathematics 6 Computational Optimization and Applications 6 Numerical Linear Algebra with Applications 6 Journal of Numerical Mathematics 6 Advances in Applied Mathematics and Mechanics 5 Journal of Mathematical Analysis and Applications 5 Abstract and Applied Analysis 5 Computational Geosciences 5 Science China. Mathematics 4 Journal of Applied Mathematics and Computing 3 Computer Physics Communications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Numerical Functional Analysis and Optimization 3 Communications in Numerical Methods in Engineering 3 Mathematical Problems in Engineering 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Archives of Computational Methods in Engineering 3 Communications in Computational Physics 3 East Asian Journal on Applied Mathematics 3 SMAI Journal of Computational Mathematics 3 Communications on Applied Mathematics and Computation 2 Mathematical Methods in the Applied Sciences 2 Wave Motion 2 Computing 2 Mathematics and Computers in Simulation 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Matrix Analysis and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 Linear Algebra and its Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Engineering Computations 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Journal of Computational Acoustics 2 ISRN Applied Mathematics 2 Electronic Research Archive 2 SN Partial Differential Equations and Applications 2 Results in Applied Mathematics 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematische Zeitschrift 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 SIAM Journal on Optimization 1 Potential Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 ELA. The Electronic Journal of Linear Algebra 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Waves in Random and Complex Media 1 GAMM-Mitteilungen 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S ...and 11 more Serials
all top 5

Cited in 35 Fields

 826 Numerical analysis (65-XX) 431 Partial differential equations (35-XX) 198 Optics, electromagnetic theory (78-XX) 156 Fluid mechanics (76-XX) 96 Mechanics of deformable solids (74-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Statistical mechanics, structure of matter (82-XX) 10 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 8 Operations research, mathematical programming (90-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX)