摘要
将Galerkin高次有限元应用于双曲守恒律组的Hamilton Jacobi方程形式 ,得到了求解一维双曲守恒律组的数值格式。对于标量守恒律方程以及线性双曲方程组 ,这类计算格式具有TVD性质。
A class of numerical schemes for solving one dimensional system of hyperbolic conservation laws is obtained by applying Galerkin finite element with high order to Hamilton Jacobi equations associated with the systems of hyperbolic conservation laws. These schemes satisfy TVD properties for the scalar conservation law and the hyperbolic system. Numerical results illustrate the method on nonlinear systems.
出处
《石油大学学报（自然科学版）》
CSCD
北大核心
2002年第1期94-99,共6页
Journal of the University of Petroleum,China(Edition of Natural Science)
