Ilaria Perugia
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Researcher ORCID ID = 0000-0003-1368-2883
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Ilaria Perugiacomputer-science Degrees
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Computer Science
Ilaria Perugia's Degrees
- PhD Computer Science University of Perugia
- Masters Computer Science University of Perugia
- Bachelors Computer Science University of Perugia
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Why Is Ilaria Perugia Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ilaria Perugia is an Italian applied mathematician and numerical analyst whose research concerns numerical methods for partial differential equations, especially Galerkin methods. She works at the University of Vienna in Austria as Professor of the Numerics of Partial Differential Equations.
Ilaria Perugia's Published Works
Published Works
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems (2000) (528)
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids (2001) (334)
- Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation (1999) (221)
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version (2011) (180)
- PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗ (2009) (171)
- Interior penalty method for the indefinite time-harmonic Maxwell equations (2005) (166)
- An hp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems (2002) (151)
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem (2006) (143)
- Block--diagonal and indefinite symmetric preconditioners for mixed finite element formulations (1999) (136)
- Block--diagonal and indefinite symmetric preconditioners for mixed finite element formulations (1999) (136)
- A Plane Wave Virtual Element Method for the Helmholtz Problem (2015) (135)
- The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations (2003) (130)
- Plane wave approximation of homogeneous Helmholtz solutions (2011) (125)
- Mixed Discontinuous Galerkin Approximation of the Maxwell Operator (2004) (121)
- A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes (2005) (115)
- Stabilized interior penalty methods for the time-harmonic Maxwell equations (2002) (113)
- A Survey of Trefftz Methods for the Helmholtz Equation (2015) (102)
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations (2000) (100)
- Discontinuous Galerkin approximation of the Laplace eigenproblem (2006) (91)
- Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations (2011) (79)
- Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes (2007) (77)
- Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator (2005) (67)
- An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations (2007) (60)
- Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation (2005) (54)
- Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems (1999) (51)
- On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods (2002) (47)
- STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS (2011) (45)
- Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the $$hp$$hp-Version (2016) (43)
- Plane Wave Discontinuous Galerkin Methods (2007) (39)
- Non-conforming Harmonic Virtual Element Method: $$h$$h- and $$p$$p-Versions (2018) (35)
- A priori error analysis of space–time Trefftz discontinuous Galerkin methods for wave problems (2015) (35)
- Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes (2014) (34)
- Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case (2005) (34)
- Discontinuous finite element methods for the simulation of rotating electrical machines (2001) (31)
- Vekua theory for the Helmholtz operator (2011) (29)
- hp -DGFEM for Maxwell’s equations (2003) (28)
- Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-DGFEM (2012) (25)
- A nonconforming Trefftz virtual element method for the Helmholtz problem (2018) (24)
- A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation (2016) (22)
- A nonconforming Trefftz virtual element method for the Helmholtz problem: Numerical aspects (2018) (22)
- Local discontinuous Galerkin methods for elliptic problems (2001) (21)
- Tent pitching and Trefftz-DG method for the acoustic wave equation (2019) (21)
- Vector potential formulation for Magnetostatics and modeling of permanent magnets (1999) (21)
- The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem (2009) (21)
- Mixed finite element methods¶and tree-cotree implicit condensation (1999) (20)
- A Field-Based Mixed Formulation for the Two-Dimensional Magnetostatic Problem (1997) (19)
- Least-Squares Padé approximation of parametric and stochastic Helmholtz maps (2018) (18)
- A mixed face-edge finite element formulation for 3D magnetostatic problems (1998) (17)
- A field-based finite element method for magnetostatics derived from an error minimization approach (2000) (15)
- Space-time discontinuous Galerkin approximation of acoustic waves with point singularities (2020) (14)
- Convergence analysis of Padé approximations for Helmholtz frequency response problems (2018) (14)
- Mixed Plane Wave Discontinuous Galerkin Methods (2009) (13)
- Matrix properties of a vector potential cell method for magnetostatics (2004) (12)
- Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure (2018) (12)
- A mixed formulation for 3D magnetostatic problems: theoretical analysis and face-edge finite element approximation (1999) (11)
- Efficient use of the local discontinuous Galerkin method for meshes sliding on a circular boundary (2002) (10)
- Nonconforming mixed finite-element approximations to time-harmonic eddy current problems (2004) (10)
- A novel field-based mixed formulation of magnetostatics (1996) (10)
- An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems (2019) (9)
- Tree-Cotree implicit condensation in magnetostatics (2000) (9)
- FEM-BEM mortar coupling for the Helmholtz problem in three dimensions (2020) (8)
- A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems (2020) (7)
- Numerical Investigation of the Conditioning for Plane Wave Discontinuous Galerkin Methods (2017) (6)
- Robust Adaptive hp Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation (2018) (6)
- Adaptive refinement for hp–Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem (2017) (6)
- Application of high-order finite-element method to the P-wave propagation around and inside an underground cavity (2017) (6)
- Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods (2013) (5)
- Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation (2021) (5)
- Optimal rectangular MITC finite elements for Reissner–Mindlin plates (1997) (5)
- On the exponential time-decay for the one-dimensional wave equation with variable coefficients (2022) (4)
- Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations (2012) (4)
- Recent experiences on mixed finite elements for 2D simulations of magnetic fields (1998) (4)
- A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation (2019) (3)
- Mixed finite elements for the simulation of fields and forces in electromagnetic devices (1998) (3)
- An adaptive mixed formulation for 3D magnetostatics (2000) (2)
- An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients (2021) (2)
- A Lagrange multiplier method for the finite element solution of elliptic domain decomposition problems using non-matching meshes (2003) (2)
- A p-robust polygonal discontinuous Galerkin method with minus one stabilization (2020) (2)
- An entropy structure preserving space-time Galerkin method for cross-diffusion systems (2020) (2)
- A LAGRANGE MULTIPLIER METHOD FOR ELLIPTIC INTERFACE PROBLEMS USING NON-MATCHING MESHES (2005) (2)
- Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs (2022) (1)
- An adaptive finite element method for high-frequency scattering problems with variable coefficients (2021) (1)
- Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations (2013) (1)
- On a Discontinuous Galerkin Method for Radiation-Diffusion Problems (2004) (1)
- Discontinuous Galerkin approximation of heterogeneous Maxwell source problem (2006) (1)
- On the limiting amplitude principle for the wave equation with variable coefficients (2022) (1)
- An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization (2020) (1)
- A class of quadrilateral finite elements for the stokes problem (1993) (1)
- Space-time virtual elements for the heat equation (2022) (1)
- Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations (2004) (1)
- A 3D Numerical Survey of Seismic Waves Inside and Around an Underground Cavity (2016) (0)
- DISCONTINUOUS GALERKIN APPROXIMATION OF THE (2006) (0)
- A numerical study of the dispersion and dissipation properties of virtual element methods for the Helmholtz problem (2019) (0)
- Runge-Kutta discontinuous Galerkin finite element schemes for nonlinear reaction diffusion equations (2013) (0)
- Mixed methods for interface problems (2003) (0)
- Numerical study of wave propagation around an underground cavity: acoustic case (2015) (0)
- A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation (2017) (0)
- A space-time Trefftz discontinuous Galerkin method for the first-order acoustic wave equations (2016) (0)
- MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems (2016) (0)
- An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems (2020) (0)
- On the exploitation of seismic resonances for cavity detection (2017) (0)
- A time splitting method for the three-dimensional linear Pauli equation (2020) (0)
- Peter Monk's contributions to numerical analysis and Maxwell's equations (2017) (0)
- Seismic resonances of spherical acoustic cavities Seismic resonances of spherical acoustic cavities (2017) (0)
- Understanding the seismic wave propagation inside and around an underground cavity from a 3D numerical survey (2017) (0)
- Least-Squares Padé approximation of parametric and stochastic Helmholtz maps (2020) (0)
- Conclusions from a numerical survey on the seismic wave propagation inside and around an underground cavity (2018) (0)
- hp-LDG METHOD FOR LOW-FREQUENCY (2003) (0)
- The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation (2021) (0)
- Adaptive refinement for hp–Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem (2018) (0)
- Geometry-based approximation of waves in complex domains (2023) (0)
- Numerical survey of pressure wave propagation around and inside an underground cavity with high order FEM (2016) (0)
- A REVIEW OF DISCONTINUOUS GALERKIN METHODS FOR MAXWELL'S EQUATIONS IN FREQUENCY-DOMAIN (2004) (0)
- Modeling and observations for Resonance Seismometry (2018) (0)
- Resonant Seismic Wave Interaction with Acoustic Cavities (2016) (0)
- Seismic resonances of acoustic cavities (2016) (0)
- for the Simulatio~ of d Forces in Electro~a (1998) (0)
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