Preconditioning operators for grid parabolic problems

被引：3

作者：

Laevsky, YM

机构：

[1] Computer Center, Siberian Branch, Russian Academy of Sciences

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 1996年 / 11卷 / 06期

关键词：

D O I：

10.1515/rnam.1996.11.6.497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with studying some preconditioning operators which provide uncoditional convergence of difference schemes for solving parabolic problems. Three examples of such operators are considered. These are a preconditioner of the domain decomposition method of the Neumann-Dirichlet type and two preconditioners of the fictitious domain methods for the Neumann and the Dirichlet boundary value problems, respectively.

引用

页码：497 / 515

页数：19

共 50 条

[1] Preconditioning operators for grid parabolic problems
Laevsky, Yu.M.
Russian Journal of Numerical Analysis and Mathematical Modelling, 11 (06):
[2] Interpolation operators for parabolic problems
Stevenson, Rob
Storn, Johannes
NUMERISCHE MATHEMATIK, 2023, 155 (1-2) : 211 - 238
[3] Interpolation operators for parabolic problems
Rob Stevenson
Johannes Storn
Numerische Mathematik, 2023, 155 : 211 - 238
[4] PARABOLIC PROBLEMS AND PSEUDODIFFERENTIAL OPERATORS
PIRIOU, A
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1972, (31-3): : 279 - 283
[5] PRECONDITIONING SINGULARITY PERTURBED ELLIPTIC AND PARABOLIC PROBLEMS
GOLDSTEIN, CI
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (05) : 1386 - 1418
[6] Representation of feedback operators for parabolic control problems
King, BB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (05) : 1339 - 1346
[7] On domain decomposition methods for grid parabolic problems
Laevsky, YM
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 1998, 13 (05) : 389 - 403
[8] Preconditioning operators and Sobolev gradients for nonlinear elliptic problems
Karátson, J
Faragó, I
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (07) : 1077 - 1092
[9] Domain decomposition method for grid parabolic problems
Zhadaeva, NG
Samarskaya, EA
DIFFERENTIAL EQUATIONS, 1999, 35 (02) : 225 - 232
[10] UNILATERAL PROBLEMS FOR PARABOLIC QUASI-LINEAR OPERATORS
ROZHKOVSKAIA, TN
DOKLADY AKADEMII NAUK SSSR, 1986, 290 (03): : 549 - 552

← 1 2 3 4 5 →