TVB runge-kutta local projection discontinuous galerkin finite element method for conservation laws III: One-dimensional systems

Bernardo Cockburn, San Yih Lin, Chi Wang Shu

研究成果: Article同行評審

961 引文 斯高帕斯(Scopus)

摘要

This is the third paper in a series in which we construct and analyze a class of TVB (total variation bounded) discontinuous Galerkin finite element methods for solving conservation laws uti=1d(fi(u)xi=0. In this paper we present the method in a system of equations, stressing the point of how to use the weak form in the component spaces, but to use the local projection limiting in the characteristic fields, and how to implement boundary conditions. A 1-dimensional system is thus chosen as a model. Different implementation techniques are discussed, theories analogous to scalar cases are proven for linear systems, and numerical results are given illustrating the method on nonlinear systems. Discussions of handling complicated geometries via adaptive triangle elements will appear in future papers.

原文English
頁(從 - 到)90-113
頁數24
期刊Journal of Computational Physics
84
發行號1
DOIs
出版狀態Published - 1989 九月

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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