An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method

DOI10.1137/130916540zbMath1302.65239OpenAlexW2048819467MaRDI QIDQ2927848

Ronald H. W. Hoppe, Thomas Fraunholz, Dietrich Braess

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3b23cc3ff6f72f6d272ac63212c7fb2786ba6a93

zbMATH Keywords

numerical resultsfinite element methodPoisson equationsecond-order elliptic boundary value problemsa posteriori error estimationinterior penalty discontinuous Galerkin methodhypercircle methodequilibrationBrezzi-Douglas-Marini elements

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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