Space enrichment method for finite element approximation of mixed boundary problem in two-dimensional elasticity

摘要

This paper is concerned with numerical approximation of the solution of elliptic boundary value problems with Winkler type boundary conditions in two-dimensional elasticity. An extension of the p-version of the finite element method, called the space enrichment method, is described and illustrated by examples. The nature of the singularities is discussed and special basis functions, capable of capturing the singular behavior, are introduced. The accuracy of the space enrichment method is evaluated against numerical solution that of the hp-extension. The two methods exhibit very close agreement.