\(L_2\) error estimation for DGFEM for elliptic problems with low regularity

DOI10.1016/j.aml.2012.01.022zbMath1252.65184OpenAlexW2087216528MaRDI QIDQ712565

Xiu Ye, Jiangguo Liu, Lin Mu

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.022

zbMATH Keywords

finite element methodsdiscontinuous Galerkin methodselliptic boundary value problemslow regularity

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15)

Related Items (3)

Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity ⋮ Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity ⋮ A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Cites Work

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• A new error analysis for discontinuous finite element methods for linear elliptic problems
• A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
• Mixed and Hybrid Finite Element Methods
• On the poisson equation with intersecting interfaces
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• The Mathematical Theory of Finite Element Methods

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