A Convergence of an Implicit Difference Scheme for the Saturated-Unsaturated Filtration Consolidation Problem

被引：2

作者：

Pavlova, M. F. ^{[1
]}

Rung, E. V. ^{[1
]}

机构：

[1] Kazan Fed Univ, Kremlevskaya ul 18, Kazan RU-420008, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2013年 / 34卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

filtration consolidation; difference schemes; penalty method; convergence of a difference scheme;

D O I：

10.1134/S1995080213040057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An implicit difference scheme for the problem of saturated-unsaturated filtration consolidation is considered and analyzed under the condition when a part of the boundary is semipermeable. The penalty method is applied to establish the existence of a solution to the difference problem. The convergence of the difference scheme is studied under minimal assumptions on the smoothness of the original data: the convergence of the piecewise-constant extensions of the difference solution to the generalized solution of the problem is proved.

引用

页码：392 / 405

页数：14

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