The Taylor-Galerkin discontinuous finite element method-An explicit scheme for nonlinear hyperbolic conservation laws

被引：5

作者：

Choe, Kyu Y. ^{[1
]}

Holsapple, Keith A. ^{[1
]}

机构：

[1] Department of Aeronautics and Astronautics, University of Washington FS-10, Seattle

来源：

Finite elements in analysis and design | 1991年 / 10卷 / 03期

关键词：

Mathematical Techniques;

D O I：

10.1016/0168-874X(91)90012-N

中图分类号：

学科分类号：

摘要：

A two-dimensional Taylor-Galerkin discontinuous finite element method for the computation of weak solutions of nonlinear hyperbolic conservation laws is presented. Linear stability is investigated numerically. The resulting scheme is explicit and solves the problem element by element. Extensive numerical tests show second-order convergence of the solution to the entropy one. The numerical solutions imply the total variation diminishing property when the extended flux limiter is applied. © 1991.

引用

页码：243 / 265

页数：22

共 19 条

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