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2024
Design and performance of a space–time virtual element method for the heat equation on prismatic meshes
Gómez Macias, S. A., Mascotto, L. & Perugia, I., 1 Jan 2024, In: Computer Methods in Applied Mechanics and Engineering. 418, PART A, 116491.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Space-time virtual elements for the heat equation
Gomez Macias, S. A., Mascotto, L. & Perugia, I., Feb 2024, In: SIAM Journal on Numerical Analysis. 62, 1, p. 199-228 30 p.Publications: Contribution to journal › Article › Peer Reviewed
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2023
Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES
Perugia, I., Schwab, C. & Zank, M., 1 Jan 2023, In: ESAIM: Mathematical Modelling and Numerical Analysis. 57, 1, p. 29-67 39 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation
Gómez, S., Moiola, A., Perugia, I. & Stocker, P., Dec 2023, In: Applied Mathematics Letters. 146, 108824.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Preface
Melenk, J. M., Perugia, I., Schöberl, J. & Schwab, C., 2023, In: Lecture Notes in Computational Science and Engineering. 137, p. v-viPublications: Contribution to journal › Editorial
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2022
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients
Arnold, A., Geevers, S., Perugia, I. & Ponomarev, D., 1 Mar 2022, In: Computers and Mathematics with Applications. 109, p. 1-14 14 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
AN ENTROPY STRUCTURE PRESERVING SPACE-TIME FORMULATION FOR CROSS-DIFFUSION SYSTEMS: ANALYSIS AND GALERKIN DISCRETIZATION
Braukhoff, M., Perugia, I. & Stocker, P., 2022, In: SIAM Journal on Numerical Analysis. 60, 1, p. 364-395 32 p.Publications: Contribution to journal › Article › Peer Reviewed
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Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation
Erath, C., Mascotto, L., Melenk, J. M., Perugia, I. & Rieder, A., 2022, In: Journal of Scientific Computing. 92, 2, 41 p., 2.Publications: Contribution to journal › Article › Peer Reviewed
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ON THE EXPONENTIAL TIME-DECAY FOR THE ONE-DIMENSIONAL WAVE EQUATION WITH VARIABLE COEFFICIENTS
Arnold, A., Geevers, S., Perugia, I. & Ponomarev, D., Oct 2022, In: Communications on Pure and Applied Analysis. 21, 10, p. 3389-3405 17 p.Publications: Contribution to journal › Article › Peer Reviewed
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The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation
Mascotto, L., Perugia, I. & Pichler, A., Oct 2022, The Virtual Element Method and its Applications. Antonietti, P. F., da Veiga, L. B. & Manzini, G. (eds.). Cham: Springer, p. 363-410 (SEMA SIMAI Springer Series, Vol. 31).Publications: Contribution to book › Chapter › Peer Reviewed
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2021
A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems
Gedicke, J., Geevers, S., Perugia, I. & Schöberl, J., 2021, In: SIAM Journal on Numerical Analysis. 59, 4, p. 2237-2253 17 p.Publications: Contribution to journal › Article › Peer Reviewed
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A p -robust polygonal discontinuous Galerkin method with minus one stabilization
Bertoluzza, S., Perugia, I. & Prada, D., Nov 2021, In: Mathematical Models and Methods in Applied Sciences. 31, 13, p. 2695-2731 37 p.Publications: Contribution to journal › Article › Peer Reviewed
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Space–time discontinuous Galerkin approximation of acoustic waves with point singularities
Bansal, P., Moiola, A., Perugia, I. & Schwab, C., Jul 2021, In: IMA Journal of Numerical Analysis. 41, 3, p. 2056–2109 54 p.Publications: Contribution to journal › Article › Peer Reviewed
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2020
An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems
Gedicke, J., Geevers, S. & Perugia, I., 9 Jun 2020, In: Journal of Scientific Computing. 83, 3, 23 p., 58.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation
Bonizzoni, F., Braukhoff, M., Jüngel, A. & Perugia, I., 1 Sep 2020, In: Numerische Mathematik. 146, 1, p. 119-157 39 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Fast least-squares padé approximation of problems with normal operators and meromorphic structure
Bonizzoni, F., Nobile, F., Perugia, I. & Pradovera, D., May 2020, In: Mathematics of Computation. 89, 323, p. 1229-1257 29 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
FEM–BEM mortar coupling for the Helmholtz problem in three dimensions
Mascotto, L., Melenk, J. M., Perugia, I. & Rieder, A., 1 Dec 2020, In: Computers and Mathematics with Applications. 80, 11, p. 2351-2378 28 p.Publications: Contribution to journal › Article › Peer Reviewed
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Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
Bonizzoni, F., Nobile, F., Perugia, I. & Pradovera, D., 8 May 2020, In: Advances in Computational Mathematics. 46, 3, 28 p., 46.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Tent pitching and Trefftz-DG method for the acoustic wave equation
Perugia, I., Schoeberl, J., Stocker, P. & Wintersteiger, C., 15 May 2020, In: Computers and Mathematics with Applications. 79, 10, p. 2987-3000 14 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
2019
Adaptive refinement for hp–Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem
Congreve, S., Houston, P. & Perugia, I., Feb 2019, In: Advances in Computational Mathematics. 45, 1, p. 361–393 33 p.Publications: Contribution to journal › Article › Peer Reviewed
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A nonconforming Trefftz virtual element method for the Helmholtz problem
Mascotto, L., Perugia, I. & Pichler, A., 1 Aug 2019, In: Mathematical Models and Methods in Applied Sciences. 29, 9, p. 1619-1656 38 p.Publications: Contribution to journal › Article › Peer Reviewed
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A nonconforming Trefftz virtual element method for the Helmholtz problem
Mascotto, L., Perugia, I. & Pichler, A., 2019, In: Mathematical Models and Methods in Applied Sciences. 29, 9, p. 1619-1656 38 p.Publications: Contribution to journal › Article › Peer Reviewed
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A nonconforming Trefftz virtual element method for the Helmholtz problem: numerical aspects
Mascotto, L., Perugia, I. & Pichler, A., 15 Apr 2019, In: Computer Methods in Applied Mechanics and Engineering. 347, p. 445 - 476 32 p.Publications: Contribution to journal › Article › Peer Reviewed
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A numerical study of the dispersion and dissipation properties of virtual element methods for the Helmholtz problem
Pichler, A. & Perugia, I., 2019, arXiv.org.Publications: Working paper › Preprint
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Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods
Congreve, S., Gedicke, J. & Perugia, I., 1 Jan 2019, Numerical Mathematics and Advanced Applications ENUMATH 2017. Radu, F. A., Kumar, K., Berre, I., Nordbotten, J. M. & Pop, I. S. (eds.). Springer, p. 493-500 8 p. (Lecture Notes in Computational Science and Engineering, Vol. 126).Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
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Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation
Congreve, S., Gedicke, J. & Perugia, I., 2019, In: Journal of Scientific Computing. 41, 2, p. A1121–A1147 27 p.Publications: Contribution to journal › Article › Peer Reviewed
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2018
A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation
Moiola, A. & Perugia, I., Feb 2018, In: Numerische Mathematik. 138, 2, p. 389-435 47 p.Publications: Contribution to journal › Article › Peer Reviewed
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Convergence analysis of Padé approximations for Helmholtz frequency response problems
Bonizzoni, F., Nobile, F. & Perugia, I., 28 Sep 2018, In: ESAIM: Mathematical Modelling and Numerical Analysis. 52, 4, p. 1261-1284 24 p.Publications: Contribution to journal › Article › Peer Reviewed
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Non-conforming harmonic virtual element method: $h$- and $p$-versions
Mascotto, L., Perugia, I. & Pichler, A., Dec 2018, In: Journal of Scientific Computing. 77, 3, p. 1874–1908 35 p.Publications: Contribution to journal › Article › Peer Reviewed
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2017
Application of high-order finite-element method to the P-wave propagation around and inside an underground cavity
Esterhazy, S., Schneider, F. M., Perugia, I. & Bokelmann, G., 2017, In: Geophysics. 82, 4, p. T197-T206 10 p.Publications: Contribution to journal › Article › Peer Reviewed
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Insights into the modeling of seismic waves for the detection of underground cavities
Bokelmann, G., Esterhazy, S., Mazzieri, I., Perugia, I. & Schneider, F., Aug 2017, Book of abstracts 30 July-3 August 2017 : ICTCA 2017 Vienna: 13th International Conference on Theoretical and Computational Acoustics. Kaltenbacher, M., Borejko, P. & Toth, F. (eds.). 2. ed. Wien: TU Wien, p. 111 1 p.Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
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Peter Monk's contributions to numerical analysis and Maxwell's equations
Perugia, I., 1 Dec 2017, In: Computers and Mathematics with Applications. 74, 11, p. 2645-2649 5 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Seismic resonances of spherical acoustic cavities
Schneider, F. M., Esterhazy, S., Perugia, I. & Bokelmann, G., Dec 2017, In: Geophysical Prospecting. 65, S1, p. 1-24 24 p.Publications: Contribution to journal › Article › Peer Reviewed
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2016
A 3D Numerical Survey of Seismic Waves Inside and Around an Underground Cavity
Esterhazy, S., Schneider, F. M., Perugia, I. & Bokelmann, G., 2016. 1 p.Publications: Contribution to conference › Paper › Peer Reviewed
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A plane wave virtual element method for the Helmholtz problem
Perugia, I., Pietra, P. & Russo, A., 1 May 2016, In: ESAIM: Mathematical Modelling and Numerical Analysis. 50, 3, p. 783-808 26 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
A priori error analysis of space-time Trefftz discontinuous Galerkin methods for wave problems
Kretzschmar, F., Moiola, A., Perugia, I. & Schnepp, S. M., Oct 2016, In: IMA Journal of Numerical Analysis. 36, 4, p. 1599-1635 37 p.Publications: Contribution to journal › Article › Peer Reviewed
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A Survey of Trefftz Methods for the Helmholtz Equation
Hiptmair, R., Moiola, A. & Perugia, I., 2016, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations. Barrenechea, G. R., Brezzi, F., Cangiani, A. & Georgoulis, E. H. (eds.). Cham: Springer, p. 237-279 43 p. (Lecture Notes in Computational Science and Engineering, Vol. 114).Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
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Erratum to: A survey of Trefftz methods for the Helmholtz equation (Lecture Notes in Computational Science and Engineering, (2016), 114, 10.1007/978-3-319-41640-3_8)
Hiptmair, R., Moiola, A. & Perugia, I., 1 Dec 2016, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations. Barranechea, G., Brezzi, F., Cangiani, A. & Georgoulis, E. (eds.). Cham: Springer, p. E1 1 p. (Lecture Notes in Computational Science and Engineering, Vol. 114).Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
Open Access -
Numerical survey of pressure wave propagation around and inside an underground cavity with high order FEM
Esterhazy, S., Schneider, F. M., Perugia, I., Bokelmann, G. & Schöberl, J., 2016, In: Geophysical Research Abstracts. 18, 8680-2.Publications: Contribution to journal › Meeting abstract/Conference paper
Open Access -
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version
Hiptmair, R., Moiola, A. & Perugia, I., Jun 2016, In: Foundations of Computational Mathematics. 16, 3, p. 637–675 39 p.Publications: Contribution to journal › Article › Peer Reviewed
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Resonant seismic wave interaction with acoustic cavities
Schneider, F. M., Esterhazy, S., Perugia, I. & Bokelmann, G., 2016, 78th EAGE Conference and Exhibition 2016: Efficient Use of Technology - Unlocking Potential. European Association of Geoscientists and Engineers, EAGE, Vol. 2016. p. 1-5 5 p.Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
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Seismic resonances of acoustic cavities
Schneider, F. M., Esterhazy, S., Perugia, I. & Bokelmann, G., 2016.Publications: Contribution to conference › Paper
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Seismisch angeregte Resonanzen bei Kernwaffentest-induzierte Hohlräumen
Schneider, F. M., Esterhazy, S., Perugia, I. & Bokelmann, G., 2016.Publications: Contribution to conference › Other contribution to conference
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2015
Schwarz domain decomposition preconditioners for plane wave discontinuous Galerkin methods
Antonietti, P. F., Perugia, I. & Davide, Z., 2015, In: Lecture Notes in Computational Science and Engineering. 103, p. 557-572 16 p.Publications: Contribution to journal › Article › Peer Reviewed
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2014
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM
Hiptmair, R., Moiola, A., Perugia, I. & Schwab, C., May 2014, In: ESAIM: Mathematical Modelling and Numerical Analysis. 48, 3, p. 727-752 26 p.Publications: Contribution to journal › Article › Peer Reviewed
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Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes
Hiptmair, R., Moiola, A. & Perugia, I., May 2014, In: Applied Numerical Mathematics. 79, p. 79-91Publications: Contribution to journal › Article › Peer Reviewed
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2013
Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations
Naldi, G., Cavalli, F. & Perugia, I., 2013, In: Communications in Applied and Industrial Mathematics. 4, 18 p.Publications: Contribution to journal › Meeting abstract/Conference paper › Peer Reviewed
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Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
Hiptmair, R., Moiola, A. & Perugia, I., 1 Jan 2013, In: Mathematics of Computation. 82, 281, p. 247-268 22 p.Publications: Contribution to journal › Article › Peer Reviewed
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2012
Discontinuous Galerkin approximation of relaxation models for linear and nonlinear diffusion equations
Cavalli, F., Naldi, G. & Perugia, I., 2012, In: SIAM Journal on Scientific Computing. 34, 1, p. A105-A136Publications: Contribution to journal › Article › Peer Reviewed
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2011
Plane wave approximation of homogeneous Helmholtz solutions
Moiola, A., Hiptmair, R. & Perugia, I., Oct 2011, In: Zeitschrift fur Angewandte Mathematik und Physik. 62, 5, p. 809-837 29 p.Publications: Contribution to journal › Article › Peer Reviewed