Authors: Paul, Jordi
Title: Preconditioning for hyperelasticity-based mesh optimisation
Language (ISO): en
Abstract: A robust mesh optimisation method is presented that directly enforces the resulting deformation to be orientation preserving. Motivated by aspects from mathematical elasticity, the energy functional of the mesh deformation can be related to a stored energy functional of a hyperelastic material. Formulating the functional in the principal invariants of the deformation gradient allows fine grained control over the resulting deformation. Solution techniques for the arising nonconvex and highly nonlinear system are presented. As existing preconditioners are not sufficient, a PDE-based preconditioner is developed.
Subject Headings: mesh optimisation
hyperelasticity
nonconvex optimisation
preconditioning
finite elements
URI: http://hdl.handle.net/2003/36014
http://dx.doi.org/10.17877/DE290R-18032
Issue Date: 2017-06
Appears in Collections:Ergebnisberichte des Instituts für Angewandte Mathematik

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