Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms

被引：0

作者：

Susanne C. Brenner

Qingmi He

机构：

[1] Department of Mathematics,

[2] University of South Carolina,undefined

[3] Columbia,undefined

[4] SC 29208,undefined

[5] USA; e-mail: brenner@math.sc.edu ,undefined

[6] Jacobs Engineering,undefined

[7] 1111 South Arroyo Parkway,undefined

[8] P.O. Box 7084,undefined

[9] Pasadena,undefined

[10] CA 91109,undefined

[11] USA; e-mail: QingmiHe@jacobs.com ,undefined

来源：

Numerische Mathematik | 2003年 / 93卷

关键词：

Mathematics Subject Classification: 65N55, 65N30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Lower bounds for the condition numbers of the preconditioned systems are obtained for the wire basket preconditioner and the Neumann-Neumann preconditioner in three dimensions. They show that the known upper bounds are sharp.

引用

页码：445 / 470

页数：25

共 50 条

[21] Three-dimensional Bayesian optical image reconstruction with domain decomposition
Eppstein, MJ
Dougherty, DE
Hawrysz, DJ
Sevick-Muraca, EM
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2001, 20 (03) : 147 - 163
[22] Some nonoverlapping domain decomposition methods
Xu, JC
Zou, J
SIAM REVIEW, 1998, 40 (04) : 857 - 914
[23] Lower and upper bounds on the critical temperature for anisotropic three-dimensional Ising model
Yurishchev, MA
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (06) : 1183 - 1197
[24] Lower and upper bounds on the critical temperature for anisotropic three-dimensional Ising model
M. A. Yurishchev
Journal of Experimental and Theoretical Physics, 2004, 98 : 1183 - 1197
[25] The overlapping domain decomposition method for harmonic equation over exterior three-dimensional domain
Wu, JM
Yu, DH
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2000, 18 (01) : 83 - 94
[26] Preconditioned domain decomposition scheme for three-dimensional aerodynamic sensitivity analysis
Eleshaky, Mohamed E., 1600, AIAA, Washington, DC, United States (32):
[27] Scalable three-dimensional domain decomposition mapping technique using MPI
Al-Sharaeh, SH
Wells, BE
COMPUTERS AND THEIR APPLICATIONS, 2003, : 369 - 372
[28] Tribox bounds for three-dimensional objects
Crosnier, A
Rossignac, JR
COMPUTERS & GRAPHICS-UK, 1999, 23 (03): : 429 - 437
[29] Multigrid methods for H(div) in three dimensions with nonoverlapping domain decomposition smoothers
Brenner, Susanne C.
Oh, Duk-Soon
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 25 (05)
[30] Parallel algorithms and domain decomposition techniques for solving three-dimensional boundary value problems on quasi-structured grids
Korneev V.D.
Sveshnikov V.M.
Numerical Analysis and Applications, 2016, 9 (02) : 141 - 149

← 1 2 3 4 5 →