HIGHER-ORDER MOVING MESH METHODS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION

Author: 

Paganini, A
Wechsung, F
Farrell, P

Publication Date: 

2018

Journal: 

SIAM JOURNAL ON SCIENTIFIC COMPUTING

Last Updated: 

2019-04-26T05:26:20.44+01:00

Issue: 

4

Volume: 

40

DOI: 

10.1137/17M1133956

page: 

A2356-A2382

abstract: 

We present a new approach to discretizing shape optimization problems that
generalizes standard moving mesh methods to higher-order mesh deformations and
that is naturally compatible with higher-order finite element discretizations
of PDE-constraints. This shape optimization method is based on discretized
deformation diffeomorphisms and allows for arbitrarily high resolution of
shapes with arbitrary smoothness. Numerical experiments show that it allows the
solution of PDE-constrained shape optimization problems to high accuracy.

Symplectic id: 

700446

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article