THE CONVERGENCE IN W22 OF THE DIFFERENCE SOLUTION OF THE DIRICHLET PROBLEM

被引:1
作者
BERIKELASHVILI, GK
机构
来源
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1990年 / 30卷 / 02期
关键词
D O I
10.1016/0041-5553(90)90082-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An estimate of the rate of convergence of the difference scheme considered in a net metric W2(2), matched with the smoothness of the required solution, is established when the solution of the initial problem belongs to Sobolev spaces.
引用
收藏
页码:89 / 92
页数:4
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[21]   FINITE-DIFFERENCE APPROXIMATION OF WEAK SOLUTION OF A MILDLY NONLINEAR DIRICHLET PROBLEM [J].
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[26]   The exponential rate of convergence of the finite-element method for the dirichlet problem with singularity of the solution [J].
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[28]   ON THE NUMERICAL SOLUTION OF THE DIRICHLET PROBLEM [J].
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