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A self-adaptive h-refinement technique for the boundary element method. (English) Zbl 0705.73259

Summary: The development of an efficient and effective self-adaptive h-refinement process and the formulation of a reliable and accurate a posteriori error estimate for the boundary element method are presented. Benchmark and practical potential problems for two-dimensional and axisymmetric cases are considered. The formulation of the error estimate is based on a projection process of adjacent boundary element solutions. The error estimator is coupled with an h-refinement technique to predict a new mesh. A self-adaptive technique that requires minimal user interaction to activate the adaptive process and can be easily implemented into a standard boundary element code structure is proposed.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
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