Bernardi, Christine; Fiétier, Nicolas; Owens, Robert G. An error indicator for mortar element solutions to the Stokes problem. (English) Zbl 0998.65113 IMA J. Numer. Anal. 21, No. 4, 857-886 (2001). Authors’ abstract: We are interested in the mortar spectral element discretization of the Stokes problem in a two-dimensional polygonal domain. We propose a family of residual type error indicators and we prove estimates which allow us to compare them with the error. We explain how these indicators can be used for adaptivity, and we present some numerical experiments. Reviewer: Pavel Burda (Praha) Cited in 13 Documents MSC: 65N15 Error bounds for boundary value problems involving PDEs 65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 35Q30 Navier-Stokes equations 35J25 Boundary value problems for second-order elliptic equations Keywords:mortar element method; error indicator; mesh adaptivity; Stokes problem; numerical experiments PDFBibTeX XMLCite \textit{C. Bernardi} et al., IMA J. Numer. Anal. 21, No. 4, 857--886 (2001; Zbl 0998.65113) Full Text: DOI Link