An explicit structure‐preserving numerical scheme for EPDiff

We present a new structure‐preserving numerical scheme for solving the Euler‐Poincaré Differential (EPDiff) equation on arbitrary triangle meshes. Unlike existing techniques, our method solves the difficult non‐linear EPDiff equation by constructing energy preserving, yet fully explicit, update rule...

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Bibliographic Details

Published in:	Computer graphics forum Vol. 37; no. 5; pp. 107 - 119
Main Authors:	Azencot, Omri, Vantzos, Orestis, Ben‐Chen, Mirela
Format:	Journal Article
Language:	English
Published:	Oxford Blackwell Publishing Ltd 01.08.2018
Subjects:	Categories and Subject Descriptors (according to ACM CCS) Computer simulation Curvature Differential equations I.3.3 [Computer Graphics]: Three‐Dimensional Graphics and Realism—Animation I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Physically based modeling Mathematical analysis Matrix methods Splitting Test procedures Wave fronts
ISSN:	0167-7055, 1467-8659
Online Access:	Get full text
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