Adaptive Finite Element Method Based on Optimal Error Estimates for Linear Elliptic Problems on Nonconvex Polygonal Domains

摘要

The subject of this work is to propose adaptive finite element methods based on an optimal maximum norm error control estimate. Using estimators of the local regularity of the unknown exact solution derived from computed approximate solutions, the proposed procedures are analyzed in detail for a non-trivial class of corner problems and shown to be efficient in the sense that they generate the correct type of refinement and lead to the desired control under consideration.