Edit Profile (opens in new tab) Perugia, Ilaria Compute Distance To: Compute Author ID: perugia.ilaria Published as: Perugia, Ilaria; Perugia, I. External Links: MGP · ORCID Documents Indexed: 77 Publications since 1993 Co-Authors: 53 Co-Authors with 69 Joint Publications 1,433 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Schötzau, Dominik 13 Moiola, Andrea 12 Hiptmair, Ralf 10 Houston, Paul 6 Mascotto, Lorenzo 5 Buffa, Annalisa 4 Bonizzoni, Francesca 4 Gedicke, Joscha 4 Geevers, Sjoerd 4 Pichler, Alexander 3 Cockburn, Bernardo 3 Congreve, Scott 3 Lovadina, Carlo 3 Nobile, Fabio 3 Schneebeli, Anna 3 Schwab, Christoph 2 Antonietti, Paola Francesca 2 Arnold, Anton 2 Castillo, Paul E. 2 Cavalli, Fausto 2 Hansbo, Peter 2 Melenk, Jens Markus 2 Naldi, Giovanni 2 Pradovera, Davide 2 Rieder, Alexander 2 Sangalli, Giancarlo 2 Schöberl, Joachim 2 Simoncini, Valeria 1 Arioli, Mario 1 Bansal, Pratyuksh 1 Bertoluzza, Silvia 1 Boffi, Daniele 1 Braukhoff, Marcel 1 Davide, Zaliani 1 Di Barba, Paolo 1 Erath, Christoph 1 Gastaldi, Lucia 1 Gittelson, Claude Jeffrey 1 Jüngel, Ansgar 1 Kanschat, Guido 1 Kretzschmar, Fritz 1 Monk, Peter B. 1 Pietra, Paola 1 Prada, Daniele 1 Russo, Alessandro 1 Savini, Antonio 1 Scapolla, Terenzio 1 Schnepp, Sascha M. 1 Stocker, Paul 1 Warburton, Timothy 1 Warsa, James S. 1 Wintersteiger, Christoph M. 1 Zank, Marco all top 5 Serials 8 SIAM Journal on Numerical Analysis 7 Journal of Scientific Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Numerische Mathematik 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 3 IMA Journal of Numerical Analysis 3 Mathematics of Computation 3 COMPEL 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Scientific Computing 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 on Pure and Applied Analysis 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 61 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 29 Optics, electromagnetic theory (78-XX) 6 Approximations and expansions (41-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 1,730 times in 1,065 Documents Cited by ▼ Year ▼ An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 237 2000 Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik 161 2001 Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria 104 2009 Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215Hiptmair, R.; Moiola, A.; Perugia, I. 87 2011 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038Perugia, I.; Simoncini, V. 80 2000 A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137Perugia, Ilaria; Pietra, Paola; Russo, Alessandro 71 2016 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 70 2002 Computational models of electromagnetic resonators: Analysis of edge element approximation. Zbl 1025.78014Boffi, D.; Fernandes, P.; Gastaldi, L.; Perugia, I. 66 1999 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 58 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 57 2004 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 53 2002 Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070Moiola, A.; Hiptmair, R.; Perugia, I. 51 2011 Discontinuous Galerkin approximation of the Maxwell eigenproblem. Zbl 1344.65110Buffa, Annalisa; Perugia, Ilaria 45 2006 The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007Perugia, Ilaria; Schötzau, Dominik 44 2003 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 40 2006 A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Zbl 1066.65125Hansbo, Peter; Lovadina, Carlo; Perugia, Ilaria; Sangalli, Giancarlo 39 2005 A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 38 2016 Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 35 2013 Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007Buffa, Annalisa; Houston, Paul; Perugia, Ilaria 30 2007 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 27 2005 Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions. Zbl 1406.65117Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 24 2018 Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 22 2011 Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 21 2014 Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176Hiptmair, R.; Moiola, A.; Perugia, I. 19 2016 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 19 2005 On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117Perugia, Ilaria; Schötzau, Dominik 15 2001 A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems. Zbl 1433.65240Kretzschmar, Fritz; Moiola, Andrea; Perugia, Ilaria; Schnepp, Sascha M. 15 2016 Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph 15 2014 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 13 2007 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects. Zbl 1440.65251Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 10 2019 Tent pitching and Trefftz-DG method for the acoustic wave equation. Zbl 1447.65087Perugia, Ilaria; Schöberl, Joachim; Stocker, Paul; Wintersteiger, Christoph 10 2020 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 10 2003 Vekua theory for the Helmholtz operator. Zbl 1266.35016Moiola, A.; Hiptmair, R.; Perugia, I. 9 2011 A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Zbl 1421.65026Moiola, Andrea; Perugia, Ilaria 9 2018 A nonconforming Trefftz virtual element method for the Helmholtz problem. Zbl 1431.65218Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 8 2019 Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D. 8 2001 Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D. 7 2002 The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim 6 2009 Vector potential formulation for magnetostatics and modelling of permanent magnets. Zbl 0985.78005Fernandes, P.; Perugia, I. 6 2001 A field-based mixed formulation for the two-dimensional magnetostatic problem. Zbl 0896.65087Perugia, I. 6 1997 FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 07283112Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander 5 2020 Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148Hiptmair, Ralf; Perugia, Ilaria 5 2009 Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria 4 2018 Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide 4 2020 Mixed finite element methods and tree-cotree implicit condensation. Zbl 0940.65123Alotto, P.; Perugia, I. 4 1999 Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. Zbl 07528299Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph 4 2021 Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide 3 2020 Robust adaptive \(hp\) discontinuous Galerkin finite element methods for the Helmholtz equation. Zbl 1414.65029Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria 3 2019 Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105Congreve, Scott; Houston, Paul; Perugia, Ilaria 3 2019 A mixed formulation for 3D magnetostatic problems: Theoretical analysis and face-edge finite element approximation. Zbl 1033.78010Perugia, I. 3 1999 A field-based finite element method for magnetostatics derived from an error minimization approach. Zbl 1028.78518Alotto, P.; Perugia, I. 3 2000 An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. Zbl 1442.65369Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria 3 2020 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 Discontinuous Galerkin approximation of relaxation models for linear and nonlinear diffusion equations. Zbl 1273.65137Cavalli, Fausto; Naldi, Giovanni; Perugia, Ilaria 2 2012 A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. Zbl 1492.65307Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim 2 2021 A \(p\)-robust polygonal discontinuous Galerkin method with minus one stabilization. Zbl 1501.65107Bertoluzza, Silvia; Perugia, Ilaria; Prada, Daniele 2 2021 Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander 2 2022 Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods. Zbl 1427.65355Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria 1 2018 A class of quadrilateral finite elements for the Stokes problem. Zbl 0785.76043Perugia, Ilaria 1 1993 A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Zbl 1452.65225Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria 1 2020 A Lagrange multiplier method for elliptic interface problems using non-matching meshes. Zbl 1229.65214Hansbo, P.; Lovadina, C.; Perugia, I.; Sangalli, G. 1 2005 Optimal rectangular MITC finite elements for Reissner-Mindlin plates. Zbl 0881.73129Perugia, Ilaria; Scapolla, Terenzio 1 1997 Recent experiences on mixed finite elements for 2D simulations of magnetic fields. Zbl 0932.78011Di Barba, P.; Perugia, I.; Savini, A. 1 1998 On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086Perugia, Ilaria; Schötzau, Dominik; Warsa, James 1 2004 An adaptive mixed formulation for 3D magnetostatics. Zbl 0965.78012Alotto, P.; Perugia, I. 1 2000 An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Zbl 07483118Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry 1 2022 On the exponential time-decay for the one-dimensional wave equation with variable coefficients. Zbl 1498.35063Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry 1 2022 Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander 2 2022 An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Zbl 07483118Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry 1 2022 On the exponential time-decay for the one-dimensional wave equation with variable coefficients. Zbl 1498.35063Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry 1 2022 Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. Zbl 07528299Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph 4 2021 A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems. Zbl 1492.65307Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria; Schöberl, Joachim 2 2021 A \(p\)-robust polygonal discontinuous Galerkin method with minus one stabilization. Zbl 1501.65107Bertoluzza, Silvia; Perugia, Ilaria; Prada, Daniele 2 2021 Tent pitching and Trefftz-DG method for the acoustic wave equation. Zbl 1447.65087Perugia, Ilaria; Schöberl, Joachim; Stocker, Paul; Wintersteiger, Christoph 10 2020 FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 07283112Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander 5 2020 Least-squares Padé approximation of parametric and stochastic Helmholtz maps. Zbl 1439.30058Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide 4 2020 Fast least-squares Padé approximation of problems with normal operators and meromorphic structure. Zbl 1435.30114Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria; Pradovera, Davide 3 2020 An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems. Zbl 1442.65369Gedicke, Joscha; Geevers, Sjoerd; Perugia, Ilaria 3 2020 A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. Zbl 1452.65225Bonizzoni, Francesca; Braukhoff, Marcel; Jüngel, Ansgar; Perugia, Ilaria 1 2020 A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects. Zbl 1440.65251Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 10 2019 A nonconforming Trefftz virtual element method for the Helmholtz problem. Zbl 1431.65218Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 8 2019 Robust adaptive \(hp\) discontinuous Galerkin finite element methods for the Helmholtz equation. Zbl 1414.65029Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria 3 2019 Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. Zbl 1419.65105Congreve, Scott; Houston, Paul; Perugia, Ilaria 3 2019 Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions. Zbl 1406.65117Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander 24 2018 A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation. Zbl 1421.65026Moiola, Andrea; Perugia, Ilaria 9 2018 Convergence analysis of Padé approximations for Helmholtz frequency response problems. Zbl 1411.35079Bonizzoni, Francesca; Nobile, Fabio; Perugia, Ilaria 4 2018 Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods. Zbl 1427.65355Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria 1 2018 A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137Perugia, Ilaria; Pietra, Paola; Russo, Alessandro 71 2016 A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 38 2016 Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176Hiptmair, R.; Moiola, A.; Perugia, I. 19 2016 A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems. Zbl 1433.65240Kretzschmar, Fritz; Moiola, Andrea; Perugia, Ilaria; Schnepp, Sascha M. 15 2016 Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods. Zbl 1328.65260Antonietti, Paola F.; Perugia, Ilaria; Davide, Zaliani 2 2015 Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 21 2014 Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph 15 2014 Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 35 2013 Discontinuous Galerkin approximation of relaxation models for linear and nonlinear diffusion equations. Zbl 1273.65137Cavalli, Fausto; Naldi, Giovanni; Perugia, Ilaria 2 2012 Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215Hiptmair, R.; Moiola, A.; Perugia, I. 87 2011 Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070Moiola, A.; Hiptmair, R.; Perugia, I. 51 2011 Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria 22 2011 Vekua theory for the Helmholtz operator. Zbl 1266.35016Moiola, A.; Hiptmair, R.; Perugia, I. 9 2011 Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria 104 2009 The mortar-discontinuous Galerkin method for the 2D Maxwell eigenproblem. Zbl 1203.65246Buffa, Annalisa; Perugia, Ilaria; Warburton, Tim 6 2009 Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148Hiptmair, Ralf; Perugia, Ilaria 5 2009 Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes. Zbl 1131.78007Buffa, Annalisa; Houston, Paul; Perugia, Ilaria 30 2007 An a posteriori error indicator for discontinuous Galerkin discretizations of \(H\)(curl)-elliptic partial differential equations. Zbl 1148.65088Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 13 2007 Discontinuous Galerkin approximation of the Maxwell eigenproblem. Zbl 1344.65110Buffa, Annalisa; Perugia, Ilaria 45 2006 Discontinuous Galerkin approximation of the Laplace eigenproblem. Zbl 1168.65410Antonietti, Paola F.; Buffa, Annalisa; Perugia, Ilaria 40 2006 Interior penalty method for the indefinite time-harmonic Maxwell equations. Zbl 1071.65155Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 58 2005 A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. Zbl 1066.65125Hansbo, Peter; Lovadina, Carlo; Perugia, Ilaria; Sangalli, Giancarlo 39 2005 Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator. Zbl 1063.78021Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 27 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. Zbl 1091.78017Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 19 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator: the indefinite case. Zbl 1087.65106Houston, Paul; Perugia, Ilaria; Schneebeli, Anna; Schötzau, Dominik 11 2005 A Lagrange multiplier method for elliptic interface problems using non-matching meshes. Zbl 1229.65214Hansbo, P.; Lovadina, C.; Perugia, I.; Sangalli, G. 1 2005 Mixed discontinuous Galerkin approximation of the Maxwell operator. Zbl 1084.65115Houston, Paul; Perugia, Ilaria; Schötzau, Dominik 57 2004 On a discontinuous Galerkin method for radiation-diffusion problems. Zbl 1057.65086Perugia, Ilaria; Schötzau, Dominik; Warsa, James 1 2004 The \(hp\)-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Zbl 1084.78007Perugia, Ilaria; Schötzau, Dominik 44 2003 \(hp\)-DGFEM for Maxwell’s equations. Zbl 1061.78012Houston, P.; Perugia, I.; Schötzau, D. 10 2003 An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems. Zbl 1001.76060Perugia, Ilaria; Schötzau, Dominik 70 2002 Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011Perugia, I.; Schötzau, D.; Monk, P. 53 2002 Local discontinuous Galerkin methods for elliptic problems. Zbl 0994.65121Castillo, P.; Cockburn, B.; Perugia, I.; Schötzau, D. 7 2002 Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids. Zbl 1041.65080Cockburn, Bernardo; Kanschat, Guido; Perugia, Ilaria; Schötzau, Dominik 161 2001 On the coupling of local discontinuous Galerkin and conforming finite element methods. Zbl 0995.65117Perugia, Ilaria; Schötzau, Dominik 15 2001 Discontinuous finite element methods for the simulation of rotating electrical machines. Zbl 0986.78016Alotto, P.; Bertoni, A.; Perugia, I.; Schötzau, D. 8 2001 Vector potential formulation for magnetostatics and modelling of permanent magnets. Zbl 0985.78005Fernandes, P.; Perugia, I. 6 2001 An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik 237 2000 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038Perugia, I.; Simoncini, V. 80 2000 A field-based finite element method for magnetostatics derived from an error minimization approach. Zbl 1028.78518Alotto, P.; Perugia, I. 3 2000 An adaptive mixed formulation for 3D magnetostatics. Zbl 0965.78012Alotto, P.; Perugia, I. 1 2000 Computational models of electromagnetic resonators: Analysis of edge element approximation. Zbl 1025.78014Boffi, D.; Fernandes, P.; Gastaldi, L.; Perugia, I. 66 1999 Linear algebra methods in a mixed approximation of magnetostatic problems. Zbl 1040.78012Perugia, I.; Simoncini, V.; Arioli, M. 10 1999 Mixed finite element methods and tree-cotree implicit condensation. Zbl 0940.65123Alotto, P.; Perugia, I. 4 1999 A mixed formulation for 3D magnetostatic problems: Theoretical analysis and face-edge finite element approximation. Zbl 1033.78010Perugia, I. 3 1999 Recent experiences on mixed finite elements for 2D simulations of magnetic fields. Zbl 0932.78011Di Barba, P.; Perugia, I.; Savini, A. 1 1998 A field-based mixed formulation for the two-dimensional magnetostatic problem. Zbl 0896.65087Perugia, I. 6 1997 Optimal rectangular MITC finite elements for Reissner-Mindlin plates. Zbl 0881.73129Perugia, Ilaria; Scapolla, Terenzio 1 1997 A class of quadrilateral finite elements for the Stokes problem. Zbl 0785.76043Perugia, Ilaria 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,348 Authors 37 Perugia, Ilaria 31 Cockburn, Bernardo 30 Li, Jichun 23 Antonietti, Paola Francesca 22 Huang, Yunqing 21 Schötzau, Dominik 20 Shu, Chi-Wang 19 Beirão da Veiga, Lourenço 17 Baccouch, Mahboub 17 Houston, Paul 17 Manzini, Gianmarco 14 Castillo, Paul E. 14 Hiptmair, Ralf 13 Mascotto, Lorenzo 13 Moiola, Andrea 13 Yuan, Long 12 Boffi, Daniele 12 Buffa, Annalisa 12 Mora, David 12 Verani, Marco 12 Wei, LeiLei 12 Yang, Wei 11 Chung, Tsz Shun Eric 11 Di Pietro, Daniele Antonio 11 Hu, Qiya 10 Ern, Alexandre 10 Giani, Stefano 10 Monk, Peter B. 10 Wang, Fei 9 Bertoluzza, Silvia 9 Dawson, Clint N. 9 Duan, Huoyuan 9 Gómez, Sergio Alejandro 9 Gudi, Thirupathi 9 Guo, Hui 9 Pani, Amiya Kumar 9 Russo, Alessandro 9 Wihler, Thomas Pascal 9 Xu, Yan 9 Yang, Yang 8 Brezzi, Franco 8 Bustinza, Rommel A. 8 Cheng, Yao 8 He, Yinnian 8 Kanschat, Guido 8 Li, Fengyan 8 Lovadina, Carlo 8 Mazzieri, Ilario 8 Sayas, Francisco-Javier 8 Vacca, Giuseppe 7 Bergamaschi, Luca 7 Cangiani, Andrea 7 Dassi, Franco 7 Georgoulis, Emmanuil H. 7 Ma, Changfeng 7 Marini, Luisa Donatella 7 Prada, Daniele 7 Yu, Xijun 7 Zhang, Qiang 7 Zhang, Xindong 6 Chen, Yanping 6 Demkowicz, Leszek F. 6 Gopalakrishnan, Jayadeep 6 Huang, Jianguo 6 Huang, Na 6 Huang, Xuehai 6 Lanteri, Stéphane 6 Lin, Yanping 6 Pennacchio, Micol 6 Proft, Jennifer 6 Qiu, Jingmei 6 Schöberl, Joachim 6 Simoncini, Valeria 6 Tan, Roger C. E. 6 van der Vegt, Jaap J. W. 6 Wu, Haijun 6 Yadav, Sangita 6 Yang, Jiming 6 Zhong, Liuqiang 5 Brenner, Susanne Cecelia 5 Campos Pinto, Martin 5 Chen, Long 5 De Simone, Valentina 5 di Serafino, Daniela 5 Dong, Bo 5 Feng, Xiaobing 5 Ferronato, Massimiliano 5 Gastaldi, Lucia 5 Guo, Wei 5 Han, Weimin 5 Imbert-Gérard, Lise-Marie 5 Mohamed, M. Shadi 5 Nicaise, Serge 5 Pichler, Alexander 5 Qian, Jianliang 5 Rivera, Gonzalo 5 Sangalli, Giancarlo 5 Schnepp, Sascha M. 5 Spence, Euan A. 5 Velásquez, Iván G. ...and 1,248 more Authors all top 5 Cited in 131 Serials 109 Journal of Scientific Computing 83 Computer Methods in Applied Mechanics and Engineering 79 Journal of Computational Physics 63 Computers & Mathematics with Applications 61 Mathematics of Computation 60 Journal of Computational and Applied Mathematics 36 Applied Mathematics and Computation 34 Numerische Mathematik 31 Applied Numerical Mathematics 28 SIAM Journal on Scientific Computing 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 SIAM Journal on Numerical Analysis 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 International Journal for Numerical Methods in Engineering 21 Numerical Methods for Partial Differential Equations 15 Numerical Algorithms 14 Advances in Computational Mathematics 14 Engineering Analysis with Boundary Elements 13 Calcolo 9 Computational Mechanics 8 Applied Mathematics Letters 8 Computational and Applied Mathematics 8 Computational Methods in Applied Mathematics 8 Advances in Applied Mathematics and Mechanics 7 Applicable Analysis 7 Computers and Fluids 7 BIT 7 International Journal of Computer Mathematics 7 Journal of Numerical Mathematics 7 International Journal of Numerical Analysis and Modeling 7 Communications on Applied Mathematics and Computation 6 COMPEL 6 Applied Mathematical Modelling 6 Computational Optimization and Applications 6 Numerical Linear Algebra with Applications 5 Journal of Mathematical Analysis and Applications 5 Abstract and Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Computational Geosciences 5 Science China. Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Applied Mathematics and Computing 4 Communications in Computational Physics 4 East Asian Journal on Applied Mathematics 3 Computer Physics Communications 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Matrix Analysis and Applications 3 Linear Algebra and its Applications 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 Archives of Computational Methods in Engineering 3 Foundations of Computational Mathematics 3 Advances in Difference Equations 3 Oberwolfach Reports 3 SMAI Journal of Computational Mathematics 3 Electronic Research Archive 2 Linear and Multilinear Algebra 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Discrete Dynamics in Nature and Society 2 Engineering Computations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Computational Methods 2 Journal of Computational Acoustics 2 ISRN Applied Mathematics 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 Chaos, Solitons and Fractals 1 Mathematische Zeitschrift 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Applications of Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 SIAM Journal on Optimization 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 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 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics ...and 31 more Serials all top 5 Cited in 38 Fields 963 Numerical analysis (65-XX) 520 Partial differential equations (35-XX) 218 Optics, electromagnetic theory (78-XX) 180 Fluid mechanics (76-XX) 111 Mechanics of deformable solids (74-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Approximations and expansions (41-XX) 12 Integral equations (45-XX) 9 Ordinary differential equations (34-XX) 9 Computer science (68-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 6 Quantum theory (81-XX) 5 Potential theory (31-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year