Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling

DOI10.1137/18M1189208zbMath1432.35211OpenAlexW2949845504WikidataQ127679245 ScholiaQ127679245MaRDI QIDQ5230624

Simon W. Funke, A. Johansson, Stephan Schmidt, Jørgen S. Dokken

Publication date: 28 August 2019

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

Full work available at URL: https://doi.org/10.1137/18m1189208

zbMATH Keywords

shape optimizationHadamard representationmultimesh finite element methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible inviscid fluids (76B75) Theory of software (68N99) PDEs in connection with control and optimization (35Q93) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items

Immersed boundary-conformal isogeometric method for linear elliptic problems ⋮ 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 ⋮ Multimesh finite element methods: solving PDEs on multiple intersecting meshes ⋮ Multimesh finite elements with flexible mesh sizes ⋮ A multimesh finite element method for the Navier-Stokes equations based on projection methods ⋮ Mesh quality preserving shape optimization using nonlinear extension operators

Uses Software

• Gmsh
• MUMPS
• DOLFIN
• FEniCS
• Ipopt
• Overture
• Python
• CutFEM
• pygmsh

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