1ST-ORDER SYSTEM LEAST-SQUARES FOR 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS .1.

被引：271

作者：

CAI, Z

LAZAROV, R

MANTEUFFEL, TA

MCCORMICK, SF

机构：

[1] TEXAS A&M UNIV, DEPT MATH, COLLEGE STN, TX 77843 USA

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

[3] UNIV COLORADO, PROGRAM APPL MATH, BOULDER, CO 80309 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 06期

关键词：

LEAST-SQUARES DISCRETIZATION; 2ND-ORDER ELLIPTIC PROBLEMS; RAYLEIGH RITZ; FINITE ELEMENTS;

D O I：

10.1137/0731091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops ellipticity estimates and discretization error bounds for elliptic equations (with lower-order terms) that are reformulated as a least-squares problem for an equivalent first-order system. The main result is the proof of ellipticity, which is used in a companion paper to establish optimal convergence of multiplicative and additive solvers of the discrete systems.

引用

页码：1785 / 1799

页数：15

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[Anonymous], 1977, MATH ASPECTS FINITE

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