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An error indicator for mortar element solutions to the Stokes problem. (English) Zbl 0998.65113

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.

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
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