Discontinuous Galerkin methods for problems with Dirac delta source

DOI10.1051/m2an/2012010zbMath1272.65092OpenAlexW2116180984MaRDI QIDQ2838593

Thomas P. Wihler, Paul Houston

Publication date: 10 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012010

zbMATH Keywords

numerical resultsfinite elementa priori error boundDirac delta sourcediscontinous Galerkin methodslinear second-order elliptic PDE

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)

Related Items (9)

Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data ⋮ A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source ⋮ Analysis of an HDG method for the Navier–Stokes equations with Dirac measures ⋮ Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source ⋮ Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures ⋮ Extended group finite element method ⋮ Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods ⋮ MINRES for Second-Order PDEs with Singular Data ⋮ A combined finite element method for parabolic equations posted in domains with rough boundaries

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