Zienkiewicz, O. C.; Craig, A. W. Adaptive mesh refinement and a posteriori error estimation for the p- version of the finite element method. (English) Zbl 0564.65070 Adaptive computational methods for partial differential equations, Proc. Workshop, College Park/Md. 1983, 33-56 (1983). [For the entire collection see Zbl 0527.00030.] The authors consider the construction of reliable a posteriori error estimates and efficient adaptive processes for the finite element method. The error estimates and refinement strategies are based directly on the concept of hierarchical finite elements. Correction indicators and error estimators are introduced for indication where additional degrees of freedom will be most effective. Some adaptive strategies and solution procedures are given together with numerical examples. Reviewer: V.Drápalík Cited in 6 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N50 Mesh generation, refinement, and adaptive 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 Keywords:a posteriori error estimates; finite element method; refinement strategy; adaptive process; Correction indicators; numerical examples Citations:Zbl 0527.00030 PDFBibTeX XML