Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

DOI10.4208/jcm.1502-m2014-0001zbMath1100.65114OpenAlexW2272573503MaRDI QIDQ5477467

Ju'e Yang, De-Hao Yu

Publication date: 3 July 2006

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

Full work available at URL: https://doi.org/10.4208/jcm.1502-m2014-0001

zbMATH Keywords

numerical experimentsLaplace equationdomain decomposition methodbasis functionsnonmatching gridsmultiplier spacefinite element method (FEM)second order elliptic equationDirichlet-to-Neumann (D+N) mappingexterior unbounded problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations ⋮ Superconvergence of the semi-discrete local discontinuous Galerkin method for nonlinear KdV-type problems ⋮ FEM solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions

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