An adaptive finite element method for singular parabolic equations

被引：0
|
作者：
Wilderotter, O [1 ]
机构：
[1] Univ Bonn, Sonderforsch Bereich 256, D-53115 Bonn, Germany
来源：
NUMERISCHE MATHEMATIK | 2003年 / 96卷 / 02期
关键词：
D O I：
10.1007/s00211-003-0463-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the adaptive finite element method to solve singular parabolic equations of porous media type and of nonstationary infiltration. We first prove a posteriori error estimates that especially take into account the discretization and algebraic errors. Furthermore we propose a robust adaptive method and apply this method to saturated/unsaturated porous media flow in an aquifer coupled with a root extraction process.
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页码：377 / 399
页数：23
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