BOUNDARY EFFECT IN THE ERROR ESTIMATE OF THE FINITE-DIFFERENCE SCHEME FOR TWO-DIMENSIONAL POISSON'S EQUATION

被引：6

作者：

Mayko, N. V. ^{[1
]}

Ryabichev, V. L. ^{[1
]}

机构：

[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2016年 / 52卷 / 05期

关键词：

Poisson's equation; boundary-value problem; finite-difference scheme; weighted error estimate; boundary effect;

D O I：

10.1007/s10559-016-9877-3

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We obtain the a priori error estimate of the rate of convergence of mesh solution to the generalized solution of two-dimensional Poisson equation in case of mixed boundary condition (boundary conditions of first and third kinds). We prove that the accuracy order is higher near the sides of the domain where the Dirichlet boundary condition is specified.

引用

页码：758 / 769

页数：12

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