Article ID: | iaor2013669 |
Volume: | 47 |
Issue: | 2 |
Start Page Number: | 247 |
End Page Number: | 258 |
Publication Date: | Feb 2013 |
Journal: | Structural and Multidisciplinary Optimization |
Authors: | Azegami Hideyuki, Fukumoto Shota, Aoyama Taiki |
Keywords: | heuristics |
The present paper introduces a numerical solution to shape optimization problems of domains in which boundary value problems of partial differential equations are defined. In the present paper, the finite element method using NURBS as basis functions in the Galerkin method is applied to solve the boundary value problems and to solve a reshaping problem generated by the H1 gradient method for shape optimization, which has been developed as a general solution to shape optimization problems. Numerical examples of linear elastic continua illustrate that this solution works as well as using the conventional finite element method.