Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

DOI10.1515/JNUM.2009.003zbMath1196.65171OpenAlexW1963767571MaRDI QIDQ5322989

Ronald H. W. Hoppe, Carsten Carstensen

Publication date: 23 July 2009

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum.2009.003

zbMATH Keywords

a posteriori error analysisunified framework\(H\)(curl)-elliptic problemsinterior penalty discontinuous Galerkin approachlow-frequency electromagneticsnon-standard finite element methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Related Items

A posteriori error estimator for mixed interior penalty discontinuous Galerkin finite element method for the \(\boldsymbol{H}(\operatorname{curl})\)-elliptic problems ⋮ An adaptive \(P_1\) finite element method for two-dimensional Maxwell's equations ⋮ Some new residual-based a posteriori error estimators for the mortar finite element methods ⋮ A posteriorierror analysis of nonconforming finite-element discretization for the Stokes equations ⋮ Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints

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