Homogenization of Hamilton-Jacobi equations: Numerical methods

被引：17

作者：

Achdou, Yves ^{[1
,2
]}

Camilli, Fabio ^{[3
]}

Dolcetta, Italo Capuzzo ^{[4
]}

机构：

[1] Univ Paris Diderot, UFR Math, F-75251 Paris 05, France

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France

[3] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67040 Laquila, Italy

[4] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷 / 07期

关键词：

Hamilton-Jacobi equation; viscosity solution; homogenization; numerical approximation;

D O I：

10.1142/S0218202508002978

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.

引用

页码：1115 / 1143

页数：29

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