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Zbl 1071.65171
Yang, Min; Du, Qikui
A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle. (English)
[J] Appl. Math. Comput. 159, No. 1, 199-220 (2004). ISSN 0096-3003

The authors study a Schwarz iterative algorithm used to solve elliptic boundary value problems formulated upon an infinite domain with a concave angle. The introduction of two artificial boundaries allows to solve the original problem in a bounded domain by a standard finite element method and in an unbounded domain by the natural boundary element method. The convergence of the resulting algorithm is carefully analyzed and some numerical experiments prove the effectiveness of the method.
[Michel Bernadou (Paris La Defense)]

MSC 2000:: *65N55 Multigrid methods; domain decomposition (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)
65N30 Finite numerical methods (BVP of PDE)
65N38 Boundary element methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65F10 Iterative methods for linear systems

Keywords: Infinite domain; Concave angle; Schwarz alternating algorithm; Artificial boundary; Iteration method; elliptic boundary value problems; finite element method; boundary element method; convergence; numerical experiments

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