Cover Image

A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chaumont-Frelet, T., Ern, A.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems
by: Chaumont-Frelet, T.
Published: (2022)

Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations
by: Chaumont-Frelet, T., et al.
Published: (2022)

Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations
by: Chaumont-Frelet, T.
Published: (2024)

Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme
by: Chaumont-Frelet, T., et al.
Published: (2024)

A posteriori error estimates for the finite element discretization of second-order PDEs set in unbounded domains
by: Chaumont-Frelet, T.
Published: (2025)

A new family of a posteriori error estimates for non-conforming finite element methods leading to stabilization-free error bounds
by: Chaumont-Frelet, T.
Published: (2025)

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media
by: Pescuma, Simone, et al.
Published: (2025)

On singular Galerkin discretizations for three models in high-frequency scattering
by: Chaumont-Frelet, T., et al.
Published: (2026)

A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems
by: Rappaport, Ari E., et al.
Published: (2025)

A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations
by: Chen, Gang, et al.
Published: (2019)

Guaranteed stability bounds for second-order PDE problems satisfying a Garding inequality
by: Chaumont-Frelet, T.
Published: (2026)

Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)

A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)

Generalised gradients for virtual elements and applications to a posteriori error analysis
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)

Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
by: Chaumont-Frelet, T., et al.
Published: (2022)

A quasi-interpolation operator yielding fully computable error bounds
by: Chaumont-Frelet, T., et al.
Published: (2025)

The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation
by: Halla, Martin, et al.
Published: (2025)

Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex
by: Chaumont-Frelet, T., et al.
Published: (2022)

The pollution effect for FEM approximations of the Ginzburg-Landau equation
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

A posteriori error analysis of a space-time hybridizable discontinuous Galerkin method for the advection-diffusion problem
by: Wang, Yuan, et al.
Published: (2024)

Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
by: Bernkopf, M., et al.
Published: (2022)

A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations
by: Yuan, Long, et al.
Published: (2023)

Adaptive boundary element methods for regularized combined field integral equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

$\boldsymbol{H}(\textbf{curl})$-reconstruction of piecewise polynomial fields with application to $hp$-a posteriori nonconforming error analysis for Maxwell's equations
by: Dong, Zhaonan, et al.
Published: (2025)

A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws
by: Leotta, Fabio, et al.
Published: (2024)

Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor
by: Kashiwabara, Takahito, et al.
Published: (2023)

$hp$-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems
by: Dong, Zhaonan, et al.
Published: (2026)

Numerical homogenization for indefinite time-harmonic Maxwell equations
by: Wang, Yueqi, et al.
Published: (2026)

On stabilized P1 finite element approximation fortime harmonic Maxwell's equations
by: Asadzadeh, M., et al.
Published: (2019)

An posteriori error estimator for discontinuous Galerkin discretisations of convection-diffusion problems with application to Earth's mantle convection simulations
by: Barry, Tiffany, et al.
Published: (2025)

Frequency-explicit stability estimates for time-harmonic elastodynamic problems in nearly incompressible materials
by: Chaumont-Frelet, T., et al.
Published: (2024)

A hybridizable discontinuous Galerkin method for the Ostrovsky equation
by: Dwivedi, Mukul, et al.
Published: (2026)

A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity
by: Wimmer, Golo A., et al.
Published: (2024)

A posteriori and a priori error estimates for linearized thin sheet folding
by: Antil, Harbir, et al.
Published: (2025)

Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for the Kolmogorov equation
by: Dong, Zhaonan, et al.
Published: (2025)

Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
by: Ern, Alexandre, et al.
Published: (2019)

Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses
by: Allendes, Alejandro, et al.
Published: (2024)