论文标题

使用非线性共轭梯度方法的形状优化

Shape Optimization with Nonlinear Conjugate Gradient Methods

论文作者

Blauth, Sebastian

论文摘要

在本章中,我们研究了最近提出的非线性结合梯度(NCG)方法,以解决形状优化问题。我们简要介绍了这些方法以及相应的理论背景,并以数值方式研究了它们的性能。获得的结果证实,对于形状优化问题,NCG方法是有效且有吸引力的解决方案算法。

In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corresponding theoretical background and investigate their performance numerically. The obtained results confirm that the NCG methods are efficient and attractive solution algorithms for shape optimization problems.

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