BDM MIXED METHODS FOR A NONLINEAR ELLIPTIC PROBLEM

被引：36

作者：

CHEN, ZX ^{[1
]}

机构：

[1] UNIV MINNESOTA, ARMY HIGH PERFORMANCE COMP RES CTR, MINNEAPOLIS, MN 55455 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 53卷 / 02期

关键词：

MIXED METHOD; ERROR ESTIMATE; NONLINEAR ELLIPTIC PROBLEM; BDM ELEMENT;

D O I：

10.1016/0377-0427(94)90046-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new mixed formulation is introduced to approximate the solution of a nonlinear elliptic problem based on the Brezzi-Douglas-Marini mixed finite elements. The existence and uniqueness of solutions of the mixed formulation and its discretization are demonstrated. Optimal error estimates in L2(OMEGA), L(infinity)(OMEGA) and H(-s)(OMEGA) are derived. Numerical results are presented to compare the present approach with the standard one and to justify the theoretical results obtained here.

引用

页码：207 / 223

页数：17

共 11 条

[1] 2 FAMILIES OF MIXED FINITE-ELEMENTS FOR 2ND ORDER ELLIPTIC PROBLEMS [J].

BREZZI, F ;

DOUGLAS, J ;

MARINI, LD .

NUMERISCHE MATHEMATIK, 1985, 47 (02) :217-235

[2]

CHEN Z, 1989, MAT APL COMPUT, V8, P241

[3]

Chen Z., 1991, MAT APLIC COMP, V10, P137

[4]

CHEN ZX, 1993, RAIRO-MATH MODEL NUM, V27, P9

[5]

DOUGLAS J, 1985, MATH COMPUT, V44, P39, DOI 10.1090/S0025-5718-1985-0771029-9

[6]

DOUGLAS J, 1971, ARCH RATION MECH AN, V42, P157

[7]

Gilbarg D., 1977, GRUNDLEHREN MATH WIS, V224

[8]

LEWY H, 1971, ARCH RATION MECH AN, V41, P241

[9]

MILNER FA, 1985, MATH COMPUT, V44, P303, DOI 10.1090/S0025-5718-1985-0777266-1

[10]

Morrey C. B., 1966, GRUNDLEHREN MATH WIS, V130

← 1 2 →