Numerical gradients for shape optimization based on embedding domain techniques

Computational Optimization and Applications

Volumn 18, Issue 2, 2001, Pages 95-114

  Kunisch, K ^a   Peichl, G ^a  

^a UNIVERSITY OF GRAZ   (Austria)

Author keywords

Embedding domain methods; Gradient representation; Shape optimization

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

EMBEDDING DOMAIN TECHNIQUE; GRADIENT REPRESENTATION; NUMERICAL GRADIENTS; SHAPE OPTIMIZATION;

OPTIMIZATION;

EID: 0035248164     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008779803348     Document Type: Article

References (10)

1. Velocity method and Lagrange formulation for the computation of the shape Hessian
2. Error analysis of a fictitious domain method applied to a Dirichlet problem
3. A fictitious domain method for Dirichlet problem and applications
4. Numerik Partieller Diffrentialgleichungen
5. Genetic algorithms and fictitious domain based approaches in shape optimization
6. Finite element approximation for optimal shape
7. Shape optimization for mixed boundary value problems based on an embedding domain method
8. Embedding domain technique based representation of the gradient for some shape optimization problems
9. Optimal shape design for elliptic systems