DOMAIN DECOMPOSITION WITH BEM AND FEM

✍ Scribed by ECKART SCHNACK; KARSTEN TÜRKE

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 381 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970730)40:14<2593::aid-nme175>3.0.co;2-n

✦ Synopsis

The Finite Element Method and the Boundary Element Method are two di erent structure analysis methods with a totally di erent numerical character. Therefore, it makes no sense to couple these two methods pointwise at the interface. In contrast to a lot of coupling strategies in the past, in this paper a method is constructed where we have coupling of the two di erent methods in a weak form. As a result we can analyse the given structure with two di erent grids independent of each other. On this account, we see that the big advantage of the proposed method is in its ablity to couple BEM and FEM. The construction of a robust and reliable numerical algorithm depends on the adaptive control of symmetry and deÿniteness of the coupling matrix. Therefore, we use an iterative method for solving the boundary integral equation by expanding the Calderon projector in a Neumann series. Numerical results show the preciseness and e ciency of the method.