Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

DOI10.4208/nmtma.2011.m1007zbMath1249.65228OpenAlexW2147868683MaRDI QIDQ2886057

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Publication date: 1 June 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.m1007

zbMATH Keywords

discontinuous Galerkin methodelliptic boundary value problemsa posteriori error analysissemi-discrete eddy currents equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations ⋮ A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations ⋮ Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations ⋮ A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems ⋮ A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect ⋮ HDG method for linear parabolic integro-differential equations ⋮ A unified \textit{hp}-HDG framework for Friedrichs' PDE systems ⋮ A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations

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