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Carstensen, C.; Estep, Donald; Stephan, P.

\(h\)-adaptive boundary element schemes. (English) Zbl 0821.65072

Comput. Mech. 15, No. 4, 372-383 (1995).
This paper introduces an \(h\)-adaptive algorithm for indirect 2-D Galerkin boundary elements applied to Dirichlet and Neumann problems. The algorithm is based on new “a posteriori” error estimates and is found particularly useful in presence of corner singularities typical of polygonal boundaries.
Reviewer: J. C. F. Telles (Rio de Janeiro)

Cited in 9 Documents

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations

Keywords:

adaptive mesh refinement; a posteriori error estimates; Galerkin boundary elements; Dirichlet and Neumann problems; corner singularities
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References:

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