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Mesh smoothing based on the MMPDE moving mesh method Kamenski, Lennard
Description
We present a mesh smoothing algorithm based on the MMPDE moving mesh method based on the direct geometric discretization of the underlying meshing functional on simplicial meshes. The nodal mesh velocities are given in a simple, analytical matrix form. We further combine the moving mesh smoothing with the lazy flip technique, a reversible edge removal algorithm to modify the mesh connectivity, and utilize radial basis function (RBF) surface reconstruction to improve tetrahedral meshes with curved boundary surfaces. Numerical comparison with some publicly available mesh improving software is provided. This work is a collaboration with Weizhang Huang (University of Kansas), Hang Si (Weierstrass Institute), Franco Dassi (Università degli Studi di Milano-Bicocca), and Patricio Farrell (Weierstrass Institute).
Item Metadata
Title |
Mesh smoothing based on the MMPDE moving mesh method
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-06-01T10:24
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Description |
We present a mesh smoothing algorithm based on the MMPDE moving mesh method based on the direct geometric discretization of the underlying meshing functional on simplicial meshes. The nodal mesh velocities are given in a simple, analytical matrix form. We further combine the moving mesh smoothing with the lazy flip technique, a reversible edge removal algorithm to modify the mesh connectivity, and utilize radial basis function (RBF) surface reconstruction to improve tetrahedral meshes with curved boundary surfaces. Numerical comparison with some publicly available mesh improving software is provided.
This work is a collaboration with Weizhang Huang (University of Kansas), Hang Si (Weierstrass Institute), Franco Dassi (Università degli Studi di Milano-Bicocca), and Patricio Farrell (Weierstrass
Institute).
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Extent |
36.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Weierstrass Institute for Applied Analysis and Stochastics
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Series | |
Date Available |
2019-03-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0377530
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International