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A Geometric Multigrid Method for Simulating Deformable Models on Unstructured, Non-nested Mesh Hierarchies

Gast, Jochen (2010)
A Geometric Multigrid Method for Simulating Deformable Models on Unstructured, Non-nested Mesh Hierarchies.
Technische Universität Darmstadt
Bachelorarbeit, Bibliographie

Kurzbeschreibung (Abstract)

In order to accelerate the solution of linear systems, multigrid methods utilize different levels of discretizations. Transfer operations between different levels are usually straightforward, since most geometric multigrid solver is embedded in structured problem domains. However, the multigrid method in this thesis makes use of barycentric coordinates to cope with unstructured problems. Thereby, the approach is applied to a Finite Element framework simulating deformable models on both linear and quadratic tetrahedral meshes.

Typ des Eintrags: Bachelorarbeit
Erschienen: 2010
Autor(en): Gast, Jochen
Art des Eintrags: Bibliographie
Titel: A Geometric Multigrid Method for Simulating Deformable Models on Unstructured, Non-nested Mesh Hierarchies
Sprache: Englisch
Publikationsjahr: 2010
Kurzbeschreibung (Abstract):

In order to accelerate the solution of linear systems, multigrid methods utilize different levels of discretizations. Transfer operations between different levels are usually straightforward, since most geometric multigrid solver is embedded in structured problem domains. However, the multigrid method in this thesis makes use of barycentric coordinates to cope with unstructured problems. Thereby, the approach is applied to a Finite Element framework simulating deformable models on both linear and quadratic tetrahedral meshes.

Freie Schlagworte: Unstructured grids, Deformable models, Linear systems, FEM Simulation
Zusätzliche Informationen:

51 p.

Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Graphisch-Interaktive Systeme
Hinterlegungsdatum: 12 Nov 2018 11:16
Letzte Änderung: 12 Nov 2018 11:16
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