Two-level additive Schwarz preconditioners for C0 interior penalty methods

被引：0

作者：

Susanne C. Brenner

Kening Wang

机构：

[1] University of South Carolina,Department of Mathematics

来源：

Numerische Mathematik | 2005年 / 102卷

关键词：

65N55; 65N30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study two-level additive Schwarz preconditioners that can be used in the iterative solution of the discrete problems resulting from C0 interior penalty methods for fourth order elliptic boundary value problems. We show that the condition number of the preconditioned system is bounded by C(1+(H3/δ3)), where H is the typical diameter of a subdomain, δ measures the overlap among the subdomains and the positive constant C is independent of the mesh sizes and the number of subdomains.

引用

页码：231 / 255

页数：24

共 50 条

[1] Two-level additive Schwarz preconditioners for C0 interior penalty methods
Brenner, SC
Wang, KN
[J]. NUMERISCHE MATHEMATIK, 2005, 102 (02) : 231 - 255
[2] Additive Schwarz preconditioners for C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates
Brenner, Susanne C.
Sung, Li-Yeng
Wang, Kening
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2022, 38 (01) : 102 - 117
[3] Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
A. T. Barker
S. C. Brenner
E.-H. Park
L.-Y. Sung
[J]. Journal of Scientific Computing, 2011, 47 : 27 - 49
[4] Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
Barker, A. T.
Brenner, S. C.
Park, E. -H.
Sung, L. -Y.
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2011, 47 (01) : 27 - 49
[5] Two-Level Schwarz Preconditioners for Super Penalty Discontinuous Galerkin Methods
Antonietti, Paola E.
Ayuso, Blanca
[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 5 (2-4) : 398 - 412
[6] A Two-Level Additive Schwarz Preconditioner for Local C0 Discontinuous Galerkin Methods of Kirchhoff Plates
Huang, Jianguo
Huang, Xuehai
[J]. COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2019, 1 (02) : 167 - 185
[7] C0 Interior Penalty Methods
Brenner, Susanne C.
[J]. FRONTIERS IN NUMERICAL ANALYSIS - DURHAM 2010, 2012, 85 : 78 - 146
[8] Two-level additive Schwarz preconditioners for nonconforming finite element methods
Brenner, SC
[J]. MATHEMATICS OF COMPUTATION, 1996, 65 (215) : 897 - 921
[9] TWO-LEVEL ADDITIVE SCHWARZ PRECONDITIONERS FOR PLATE ELEMENTS
SUSANNE C. BRENNER
[J]. Wuhan University Journal of Natural Sciences, 1996, (Z1) : 658 - 667
[10] Two-level additive Schwarz preconditioners for fourth-order mixed methods
Hanisch, MR
[J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2006, 22 : 1 - 16

← 1 2 3 4 5 →