利用Hamilton-Jacobi方程求解双曲守恒律组的有限元法  

FINITE ELEMENT METHODS FOR SOLVING A SET OF HYPERBOLIC CONSERVATION LAWS WITH HAMILTON-JACOBI EQUATIONS

作　　者：李祥贵[1] 刘为清[2] 

机构地区：[1]石油大学应用数学系,山东东营257061 [2]石油大学期刊社,山东东营257061

出　　处：《石油大学学报（自然科学版）》2002年第1期94-99,共6页Journal of the University of Petroleum,China(Edition of Natural Science)

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.

关 键 词：HAMILTON-JACOBI方程 求解 双曲守恒律组 有限元法 

分 类 号：O241.82[理学—计算数学]