Space mapping techniques for a structural optimization problem governed by the p-Laplace equation

作者：Lass O; Posch C; Scharrer G; Volkwein S^*

来源：Optimization Methods and Software, 2011, 26(4-5): 617-642.

DOI：10.1080/10556788.2011.582112

• p-Laplace equation
• optimal control
• space mapping
• surrogate optimization
• globalized Newton-CG method

Solving optimal control problems for real-world applications are hard to tackle numerically due to the large size and the complex underlying (partial differential equations based) models. In this paper, a structural optimization problem governed by the p-Laplace equation (fine model) is considered. A surrogate optimization is utilized to develop an efficient numerical optimization method. Here the p-Laplace equation is replaced by a simplified (coarse) model, a space mapping attempts to match, in the coarse model, the values of the p-Laplace equation. Numerical examples illustrate the presented approach.

• 出版日期2011