AN ADAPTIVE MESH REFINEMENT PROCEDURE FOR SHAPE OPTIMAL-DESIGN

In this paper we present a procedure for automatic mesh generation specifically developed for shape optimal design problems. This procedure is implemented as a module in a general system for shape optimal design of linear elastic structures. The module provides the mesh generation and its adaptive refinement. It works in a wholly automatic way. The input is the geometric definition and the result is the refined mesh. First a basic mesh is generated using conformal mapping concepts, and secondly the basic mesh is refined using an error estimator based in the strain energy density function and h- and p-remeshing techniques. Some samples of shape optimal design solved with these concepts ace presented.