INTERIOR MAXIMUM-NORM ESTIMATES FOR FINITE-ELEMENT METHODS .2.

被引:127
作者
SCHATZ, AH
WAHLBIN, LB
机构
关键词
D O I
10.2307/2153476
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
We consider bilinear forms A(.,.) connected with second-order elliptic problems and assume that for u(h) in a finite element space S-h, we have A(u - u(h), chi) = F(chi) for chi in S-h with local compact support. We give local estimates for u - u(h) in L(infinity) and W-infinity(1) of the type ''local best approximation plus weak outside influences plus the local size of F''.
引用
收藏
页码:907 / 928
页数:22
相关论文
共 13 条
[1]
BRAMBLE JH, 1975, MATH COMPUT, V29, P677, DOI 10.1090/S0025-5718-1975-0398120-7
[2]
CAYCO ME, IN PRESS SUPERCONVER
[3]
CHEN CM, 1985, J COMPUT MATH, V3, P1
[4]
CIARLET PG, 1991, HDB NUMERICAL ANAL, V2, P18
[5]
Gilbarg David, 1983, GRUNDLEHREN MATH WIS, V224, DOI [10.1007/978-3-642-61798-0, DOI 10.1007/978-3-642-61798-0]
[7]
KRASOVSKII JP, 1967, MATH USSR IZV, V1, P935, DOI DOI 10.1070/IM1967V001N05ABEH000594
[8]
NITSCHE JA, 1974, MATH COMPUT, V28, P937, DOI 10.1090/S0025-5718-1974-0373325-9
[9]
SOME OPTIMAL ERROR-ESTIMATES FOR PIECEWISE LINEAR FINITE-ELEMENT APPROXIMATIONS [J].
RANNACHER, R ;
SCOTT, R .
MATHEMATICS OF COMPUTATION, 1982, 38 (158) :437-445
[10]
SCHATZ AH, 1982, MATH COMPUT, V38, P1