A \(hp\)-discontinuous Galerkin method for the time-dependent Maxwell's equation: a priori error estimate

DOI10.1007/s12190-008-0153-1zbMath1177.78053OpenAlexW2001978951MaRDI QIDQ1031990

Christian Daveau, Abdelhamid Zaghdani

Publication date: 23 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0153-1

zbMATH Keywords

wave equationdiscontinuous Galerkin methoda priori error estimate

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (5)

Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations ⋮ A new mixed discontinuous Galerkin method for the electrostatic field ⋮ A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems ⋮ Analysis of HDG method for the reaction-diffusion equations ⋮ H(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem

Cites Work

• Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates
• Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
• Two new discrete inequalities of Poincaré-Friedrichs on discontinuous spaces for Maxwell's equations
• The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations

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