ABSORBING BOUNDARY-CONDITIONS FOR DIFFUSION-EQUATIONS

被引：50

作者：

HALPERN, L

RAUCH, J

机构：

[1] ECOLE POLYTECH,CTR MATH APPL,F-91128 PALAISEAU,FRANCE

[2] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48104

[3] ECOLE POLYTECH,CTR MATH APPL,F-91128 PALAISEAU,FRANCE

[4] ECOLE POLYTECH,CTR MATH,F-91128 PALAISEAU,FRANCE

来源：

NUMERISCHE MATHEMATIK | 1995年 / 71卷 / 02期

关键词：

D O I：

10.1007/s002110050141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct and analyse a family of absorbing boundary conditions for diffusion equations with variable coefficients, curved artifical boundary, and arbitrary convection. It relies on the geometric identification of the Dirichlet to Neumann map and rational interpolation of z(1/2) in the complex plane. The boundary conditions are stable, accurate, and practical for computations,

引用

页码：185 / 224

页数：40

共 16 条

[1] SPATIALLY INHOMOGENEOUS PSEUDODIFFERENTIAL OPERATORS, I [J].