On discontinuous Galerkin method and semiregular family of triangulations.

DOI10.1007/S10492-006-0024-8zbMath1164.65499OpenAlexW2164577299MaRDI QIDQ954603

Aleš Prachař

Publication date: 24 November 2008

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

Full work available at URL: https://eudml.org/doc/33270

zbMATH Keywords

numerical resultsdiscontinuous Galerkin methodelliptic equationspenalty methodsemiregular family of triangulations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• On semiregular families of triangulations and linear interpolation
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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