OPTIMAL CONVERGENCE-RATES FOR SEMIDISCRETE APPROXIMATIONS OF PARABOLIC PROBLEMS WITH NONSMOOTH BOUNDARY DATA

被引：4

作者：

CHOUDURY, G

LASIECKA, I

机构：

[1] UNIV CINCINNATI,DEPT MATH SCI,CINCINNATI,OH 45221

[2] UNIV VIRGINIA,DEPT APPL MATH,CHARLOTTESVILLE,VA 22903

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1991年 / 12卷 / 5-6期

关键词：

SEMIDISCRETE APPROXIMATION; PARABOLIC BOUNDARY-VALUE PROBLEMS; NITSCHE METHOD;

D O I：

10.1080/01630569108816443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider semidiscrete approximations of parabolic boundary value problems based on an elliptic approximation by J. Nitsche, in which the approximating subspaces are not subject to any boundary conditions. Optimal L(p)(L2) error estimates are derived for both smooth and nonsmooth boundary data. The approach is based on semigroup theory combined with the theory of singular integrals.

引用

页码：469 / 485

页数：17

共 21 条

[1] Adams RA., 2003, PURE APPL MATH SOB O, V2
[2] BABUSKA I, 1972, MATH F FINITE ELEMEN
[3] BALAKRISHNAN AV, 1976, APPLIED FUNCTIONAL A
[4] SOME CONVERGENCE ESTIMATES FOR SEMI-DISCRETE GALERKIN TYPE APPROXIMATIONS FOR PARABOLIC EQUATIONS
BRAMBLE, JH
SCHATZ, AH
THOMEE, V
WAHLBIN, LB
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (02) : 218 - 241
[5] CANNARSA JP, 1984, SCUOLE NORMALE SUPER
[6] DESIMON L, 1964, REND SEMIN MAT U PAD, V34, P205
[7] GALERKIN METHODS FOR PARABOLIC EQUATIONS
DOUGLAS, J
DUPONT, T
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (04) : 575 - &
[8] CONCRETE CHARACTERIZATION OF DOMAINS OF FRACTIONAL POWERS OF SOME ELLIPTIC DIFFERENTIAL OPERATORS OF 2ND ORDER
FUJIWARA, D
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1967, 43 (02): : 82 - &
[9] UNIFIED THEORY FOR ABSTRACT PARABOLIC BOUNDARY-PROBLEMS - A SEMIGROUP APPROACH
LASIECKA, I
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1980, 6 (04) : 287 - 333
[10] LASIECKA I, 1986, J MATH PURE APPL, V65, P149

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