Two-Dimensional Shape Optimization with Nearly Conformal Transformations

DOI10.1137/17M1152711zbMath1403.49043arXiv1710.06496WikidataQ122289041 ScholiaQ122289041MaRDI QIDQ4558233

José A. Iglesias, Kevin Sturm, Florian Wechsung

Publication date: 21 November 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06496

zbMATH Keywords

conformal mappingsCauchy-Riemann equationsgrid deformationPDE constrained shape optimization

Mathematics Subject Classification ID

Related Items (14)

Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Shape Optimization of the Stokes Eigenvalue Problem ⋮ The strip method for shape derivatives ⋮ Numerical shape optimization of the Canham-Helfrich-Evans bending energy ⋮ First and Second Order Shape Optimization Based on Restricted Mesh Deformations ⋮ Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners ⋮ A Discretize-then-Optimize Approach to PDE-Constrained Shape Optimization ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem ⋮ Shape Optimization of a Polymer Distributor Using an Eulerian Residence Time Model ⋮ Designing polymer spin packs by tailored shape optimization techniques ⋮ A Continuous Perspective on Shape Optimization via Domain Transformations ⋮ Shape optimization of Navier-Stokes flows by a two-grid method ⋮ Nonlinear Conjugate Gradient Methods for PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics ⋮ A novel W^1,∞ approach to shape optimisation with Lipschitz domains

Uses Software

• Firedrake

Cites Work

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