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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.
TU Darmstadt, [Bachelor Thesis]

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.

Item Type: Bachelor Thesis
Erschienen: 2010
Creators: Gast, Jochen
Title: A Geometric Multigrid Method for Simulating Deformable Models on Unstructured, Non-nested Mesh Hierarchies
Language: English
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.

Uncontrolled Keywords: Unstructured grids, Deformable models, Linear systems, FEM Simulation
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Date Deposited: 12 Nov 2018 11:16
Additional Information:

51 p.

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