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Published March 27, 2008 | public
Book Section - Chapter

Discrete Differential Forms for Computational Modeling

Abstract

This chapter introduces the background needed to develop a geometry-based, principled approach to computational modeling. We show that the use of discrete differential forms often resolves the apparent mismatch between differential and discrete modeling, for applications varying from graphics to physical simulations. Keywords. Discrete differential forms, exterior calculus, Hodge decomposition.

Additional Information

© 2008 Birkhäuser Verlag Basel/Switzerland. The authors wish to first thank Jerrold E. Marsden for his constant support along the way. We are also indebted to Peter Schröder and Herbert Edelsbrunner for their thorough proofreading of this document. Bugs in an initial version were reported by Fengtao Fan. Finally, we acknowledge the support of Alain Bossavit, Anil Hirani, Melvin Leok, David Cohen-Steiner, Sharif Elcott, Pierre Alliez, and Eitan Grinspun.

Additional details

Created:
August 22, 2023
Modified:
January 14, 2024