Interior and superconvergence estimates for mixed methods for second order elliptic problems. (English) Zbl 0613.65110

Es werden gemischte Finite-Element-Methoden zur numerischen Behandlung von linearen und quasilinearen elliptischen Randwertproblemen untersucht. Nach Gewinnung lokaler Fehlerabschätzungen in Sobolev-Räumen mit nichtpositivem Index werden entsprechende Abschätzungen für Differenzenquotienten der Fehler sowie Superkonvergenzaussagen hergeleitet.
Reviewer: F.v.Finckenstein


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
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