On \(L^2\)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data

DOI10.1016/J.CAM.2008.08.036zbMath1167.65061OpenAlexW2003843116MaRDI QIDQ1019767

Neela Nataraj, Amiya K. Pani, Thirupathi Gudi

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.036

zbMATH Keywords

numerical experimentsoptimal error estimatesPoisson equationnonsymmetric interior penalty Galerkin method\(hp\)-finite elementssuper-penalty

Mathematics Subject Classification ID

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)

Related Items (4)

Error estimates of conforming virtual element methods with a modified symmetric Nitsche's formula for 2D semilinear parabolic equations ⋮ Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients ⋮ High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions ⋮ A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems

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• Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case

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