Mathematical Treatment of Point Sources in a Flow Through Porous Media Governed by Darcy's Law

被引：0

作者：

Marián Slodička

机构：

[1] University of the Federal Armed Forces Munich,Department of Computer Science

来源：

Transport in Porous Media | 1997年 / 28卷

关键词：

point sources; Darcy's law; jumping conductivity; discrete maximum principle; gas flow; wells;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider stationary air flow in a porous medium caused by extraction wells and governed by Darcy's law. Point sinks are described by Dirac functions. We distinguish two different situations: locally continuous and discontinuous conductivity near the wells. In both cases, well-posedness is proved. We propose a finite-element scheme in the general case and show the convergence of the approximated solution to the exact one.

引用

页码：51 / 67

页数：16