University of Illinois at Urbana-Champaign
The SAS Domain Decomposition Method for Structural Analysis
Abstract
dc:descriptionA new domain decomposition method for the efficient and parallelizable numerical handling of plate bending and three dimensional elasticity problem is developed via the discovery of two special classes of matrices. The first class of matrices, say $A\in{\cal C}\sp{n\times n}$, has the relation A = P A P and the second, the counterpart of the first class of matrices A, say $B\in{\cal C}\sp{n\times n}$, satisfies the relation B = $-$P B P where P is some symmetrical signed permutation matrix. Also introduced are four special classes of linear vector subspaces which are closely related to this approach. Two of these four subspaces contain vectors as their elements and the other two consist of matrices as their elements.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Computer Science
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Chen, Hsin-Chu
- Contributors dc:contributor
-
- Sameh, Ahmed H.
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8823098
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/69594