Description

• Title:
  Topological optimization via cost penalization
• Creator:
  Murea, Cornel Marius;
  Tiba, Dan
• Description:
  We consider general shape optimization problems governed by Dirichlet boundary value problems. The proposed approach may be extended to other boundary conditions as well. It is based on a recent representation result for implicitly defined manifolds, due to the authors, and it is formulated as an optimal control problem. The discretized approximating problem is introduced and we give an explicit construction of the associated discrete gradient. Some numerical examples are also indicated.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.11.09
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2B (December 2019); 1023 - 1050;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.080/23634 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.080/23635
• Subject:
  Geometric optimization;
  optimal design;
  topological variations;
  optimal control methods;
  discrete gradient;
  Primary;
  49K20;
  65K10;
  Secondary;
  49M30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.080
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other