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.
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收藏
页码：207 / 223
页数：17
相关论文
共 11 条
  • [1] 2 FAMILIES OF MIXED FINITE-ELEMENTS FOR 2ND ORDER ELLIPTIC PROBLEMS
    BREZZI, F
    DOUGLAS, J
    MARINI, LD
    [J]. 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
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