Finite volume schemes for Hamilton-Jacobi equations

被引：34

作者：

Kossioris, G

Makridakis, C ^{[1
]}

Souganidis, PE

机构：

[1] Univ Crete, Dept Math, GR-71409 Iraklion, Greece

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[3] FORTH, Inst Appl & Computat Math, GR-71110 Heraklion, Greece

来源：

NUMERISCHE MATHEMATIK | 1999年 / 83卷 / 03期

关键词：

D O I：

10.1007/s002110050457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce two classes of monotone finite volume schemes for Hamilton-Jacobi equations. The corresponding approximating functions are piecewise linear defined on a mesh consisting of triangles. The schemes are shown to converge to the viscosity solution of the Hamilton-Jacobi equation. Mathematics Subject Classification (1991): 65M06, 65M12.

引用

页码：427 / 442

页数：16

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