05608061

j

05608061 Pechstein, Clemens Boundary element tearing and interconnecting methods in unbounded domains. Appl. Numer. Math. 59, No. 11, 2824-2842 (2009). 2009 Elsevier Science B.V. (North-Holland), Amsterdam; International Association for Mathematics and Computers in Simulation (IMACS), New Brunswick, NJ EN domain decomposition iterative substructuring boundary element method exterior problems BETI tearing and interconnecting boundary element tearing and interconnecting methods unbounded domains preconditioners condition number numerical results

doi:10.1016/j.apnum.2008.12.031

The authors discuss the boundary element tearing and interconnecting(BETI) methods in unbounded domains. They first introduce the notion of boundary integral operators and Steklov-Poincare operators, then they define the problem formulation and the domain decomposition. Lator the authors present the formulation of one-level BETI methods for unbounded domains and the corresponding preconditioners. Condition number estimates for these preconditioners are explained, and numerical results for several two-dimensional model problems are given. Seenith Sivasundaram (Daytona Beach)