Convergence analysis of a symmetric dual-wind discontinuous Galerkin method

DOI10.1007/s10915-013-9773-1zbMath1303.65092OpenAlexW943131542MaRDI QIDQ461257

Thomas Lewis, Michael Neilan

Publication date: 10 October 2014

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-013-9773-1

zbMATH Keywords

numerical exampleerror estimatesdiscontinuous Galerkin methodsPoisson equationsymmetric dual-wind discontinuous Galerkin method

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions, Dual-wind discontinuous Galerkin methods for stationary Hamilton-Jacobi equations and regularized Hamilton-Jacobi equations, A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm, A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs, Unnamed Item, Consistency results for the dual-wind discontinuous Galerkin method, Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations, Discontinuous Galerkin derivative operators with applications to second-order elliptic problems and stability, Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations, Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem, Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality

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