Ervin, Vincent J.; Heuer, Norbert An adaptive boundary element method for the exterior Stokes problem in three dimensions. (English) Zbl 1096.65120 IMA J. Numer. Anal. 26, No. 2, 297-325 (2006). 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. Reviewer: Nicolae Pop (Baia Mare) Cited in 17 Documents 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 Keywords:boundary element method; a posteriori error estimator; weakly singular operator; adaptive refinement strategy; exterior Stokes problem; mesh refinement; numerical experiments PDFBibTeX XMLCite \textit{V. J. Ervin} and \textit{N. Heuer}, IMA J. Numer. Anal. 26, No. 2, 297--325 (2006; Zbl 1096.65120) Full Text: DOI