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An adaptive boundary element method for the exterior Stokes problem in three dimensions. (English) Zbl 1096.65120

The paper is concerned with study of an adaptive refinement strategy for the \(h\)-version of the boundary element method for the exterior Stokes problem in three dimensions. The model problem deals with the exterior Stokes problem, and the authors define error indicators based on projections onto local subspaces defined by mesh refinement. These indicators measure the error separatly for the vector components. Assuming a saturation property and a shape-regular elements, the indicators give rise to an efficient and reliable error estimator. Numerical experiments confirm the efficiency of the theoretical results.

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
35Q30 Navier-Stokes equations
35J25 Boundary value problems for second-order elliptic equations
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