The runge-kuttal ocal projection discontinuous galerkin finite element method for conservation laws iv: The multidimensional case

Bernardo Cockburn, Suchung Hou, Chi Wang Shu

Research output: Contribution to journalArticlepeer-review

1059 Scopus citations

Abstract

In this paper we study the two-dimensional version of the Runge- Kutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-order accurate. Preliminary numerical results showing the performance of the schemes on a variety of initial-boundary value problems are shown.

Original languageEnglish (US)
Pages (from-to)545-581
Number of pages37
JournalMathematics of Computation
Volume54
Issue number190
DOIs
StatePublished - Apr 1990

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