A hybrid numerical method for high contrast conductivity problems

被引：6

作者：

Borcea, L

Papanicolaou, GC

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 87卷 / 01期

基金：

美国国家科学基金会;

关键词：

high contrast conductivity; resistor networks; hybrid numerical methods;

D O I：

10.1016/S0377-0427(97)00175-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and test extensively a numerical method for computing efficiently current flow in media with high contrast conductivity. This method combines our analytical understanding of the form of the flow field near narrow channels with standard numerical methods elsewhere in the flow regime and so it is a hybrid numerical method.

引用

页码：61 / 77

页数：17

共 15 条

[1] ALUMBAUGH DE, 1993, THESIS UC BERKELEY
[2] [Anonymous], INVERSE PROBLEMS
[3] [Anonymous], 1994, HOMOGENIZATION DIFFE
[4] BANK E, 1990, PLTMG SOFTWARE PACKA
[5] THERMAL OR ELECTRICAL-CONDUCTION THROUGH A GRANULAR MATERIAL
BATCHELOR, GK
OBRIEN, RW
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 355 (1682): : 313 - 333
[6] Bensoussan A., 1978, ASYMPTOTIC ANAL PERI
[7] BORCEA L, 1997, IN PRESS SIAM J APPL
[8] DETERMINATION OF THE EFFECTIVE HYDRAULIC CONDUCTIVITY FOR HETEROGENEOUS POROUS-MEDIA USING A NUMERICAL SPECTRAL APPROACH .2. RESULTS
DYKAAR, BB
KITANIDIS, PK
[J]. WATER RESOURCES RESEARCH, 1992, 28 (04) : 1167 - 1178
[9] DETERMINATION OF THE EFFECTIVE HYDRAULIC CONDUCTIVITY FOR HETEROGENEOUS POROUS-MEDIA USING A NUMERICAL SPECTRAL APPROACH .1. METHOD
DYKAAR, BB
KITANIDIS, PK
[J]. WATER RESOURCES RESEARCH, 1992, 28 (04) : 1155 - 1166
[10] GOLDEN KM, 1995, CRITICAL PATH ANAL T

← 1 2 →