LOCAL REFINEMENT TECHNIQUES FOR ELLIPTIC PROBLEMS ON CELL-CENTERED GRIDS .1. ERROR ANALYSIS

被引：84

作者：

EWING, RE

LAZAROV, RD

VASSILEVSKI, PS

机构：

[1] BULGARIAN ACAD SCI,INST MATH,BU-1113 SOFIA,BULGARIA

[2] BULGARIAN ACAD SCI,CTR INFORMAT & COMP TECHNOL,BU-1113 SOFIA,BULGARIA

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 194期

关键词：

CELL-CENTERED GRID; LOCAL REFINEMENT; ERROR ESTIMATES; ELLIPTIC PROBLEMS OF DIVERGENCE TYPE;

D O I：

10.2307/2008390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite difference technique on rectangular cell-centered grids with local refinement is proposed in order to derive discretizations of second-order elliptic equations of divergence type approximating the so-called balance equation. Error estimates in a discrete H-1-norm are derived of order h1/2 for a simple symmetric scheme, and of order h3/2 for both a nonsymmetric and a more accurate symmetric one, provided that the solution belongs to H-1+alpha for alpha > 1/2 and alpha > 3/2, respectively.

引用

页码：437 / 461

页数：25

共 21 条

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