English

Shape Optimization with Nonlinear Conjugate Gradient Methods

Optimization and Control 2025-10-14 v3 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.2201.05394,
  title  = {Shape Optimization with Nonlinear Conjugate Gradient Methods},
  author = {Sebastian Blauth},
  journal= {arXiv preprint arXiv:2201.05394},
  year   = {2025}
}