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Media type:
E-Article
Title:
Orientation preserving mesh optimisation and preconditioning
Contributor:
Paul, Jordi
imprint:
Wiley, 2018
Published in:International Journal for Numerical Methods in Engineering
Language:
English
DOI:
10.1002/nme.5764
ISSN:
0029-5981;
1097-0207
Origination:
Footnote:
Description:
<jats:title>Summary</jats:title><jats:p>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 partial differential equation–based preconditioner is developed.</jats:p>