Preconditioning for hyperelasticity-based mesh optimisation

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dc.contributor.authorPaul, Jordi
dc.date.accessioned2017-07-03T12:43:00Z
dc.date.available2017-07-03T12:43:00Z
dc.date.issued2017-06
dc.description.abstractA 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.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/36014
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18032
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;573
dc.subjectmesh optimisationen
dc.subjecthyperelasticityen
dc.subjectnonconvex optimisationen
dc.subjectpreconditioningen
dc.subjectfinite elementsen
dc.subject.ddc610
dc.titlePreconditioning for hyperelasticity-based mesh optimisationen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access

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