Discrete maximum principle for interior penalty discontinuous Galerkin methods

DOI10.2478/s11533-012-0154-zzbMath1269.65124OpenAlexW1986937451MaRDI QIDQ1945356

Tamás L. Horváth, Miklós Emil Mincsovics

Publication date: 8 April 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0154-z

zbMATH Keywords

numerical examplecomparison principlefinite element\(M\)-matrixinterior penalty discontinuous Galerkin methodconservation of nonnegativityone-dimensional reaction-diffusion operator

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05)

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