Two-level Schwarz methods for Wilson element approximation of elasticity problem

✍ Scribed by Xuejun Xu; Likang Li

• Book ID: 104267704
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 696 KB
• Volume: 142
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(96)01130-9

✦ Synopsis

In this paper, a two-level additive and multiplicative Schwarz methods are developed for the Wilson nonconforming element approximation of elasticity problem. A new intergrid operator for the Wilson element is constructed. It is well known that the two-level additive Schwarz method can be seen as a preconditioning system, so the condition number of the preconditioning system for elasticity problem is proved to be bounded by a constant independent of mesh size and the number of subdomains. For the multiplicative method, the optimal rate of convergence is also obtained.