Optimal Finite Element Approach for Elasticity Problems on Nonsmooth Domain in R³

Abstract

In engineering practice the three-dimensional elasticity problems are often solved numerically on domains which are unions of simple subjects such as cylinders, balls and cones. The intersections of these simple subjects yield vertices and edges where singularities of solutions may occur. The singularities affect the efficiency and effectiveness of the computation, and the conventional numerical approaches may fail to achieve the desired accuracy in practical engineering range if the singularities of the solutions are very severe.