Wendland, W. L.; Yu, Dehao A-posteriori local error estimates of boundary element methods with some pseudo-differential equations on closed curves. (English) Zbl 0758.65072 J. Comput. Math. 10, No. 3, 273-289 (1992). Authors’ summary: We show local error estimates for the Galerkin finite element method applied to strongly elliptic pseudo-differential equations on closed curves. In these local estimates the right hand sides are obtained as the sum of a local norm of the residual, which is computable, and additional terms of higher order with respect to the meshwidth. Hence, asymptotically, here the residual is an error indicator which provides a corresponding self-adaptive boundary element method. Reviewer: V.Subba Rao (Madras) Cited in 15 Documents MSC: 65N38 Boundary element methods for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35S15 Boundary value problems for PDEs with pseudodifferential operators Keywords:local error estimates; Galerkin finite element method; strongly elliptic pseudo-differential equations; self-adaptive boundary element method PDFBibTeX XMLCite \textit{W. L. Wendland} and \textit{D. Yu}, J. Comput. Math. 10, No. 3, 273--289 (1992; Zbl 0758.65072)