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：
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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.
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页码：51 / 67
页数：16
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