The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation

DOI10.1016/0021-9991(92)90143-MzbMath0754.65112OpenAlexW2003940596MaRDI QIDQ1184622

Edward W. Larsen, Christoph Börgers, Marvin L. Adams

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90143-m

zbMATH Keywords

numerical resultasymptotic diffusion limitlinear discontinuous Galerkin finite element discretizationtwo-dimensional linear transport equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

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• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Finite Element Collocation Methods for First Order Systems
• Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
• Existence and Uniqueness Theorems for the Neutron Transport Equation

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