Transcription of Discrete Differential Forms - Applied Geometry homepage
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Discrete Differential Forms - Applied Geometry homepage
Discrete Differential Forms for Computational Modeling Mathieu Desbrun Eva Kanso Yiying Tong . Applied Geometry Lab Caltech . 1 Motivation coordinate-independent nature of quantities written in tensorial no- tation: local and global invariants are hard to notice by just staring The emergence of computers as an essential tool in scientific re- at the indices. On the other hand, invariants are easily discovered search has shaken the very foundations of Differential modeling. when expressed as Differential Forms by invoking either Stokes'. Indeed, the deeply-rooted abstraction of smoothness, or differentia- theorem, the Poincar e lemma, or by applying exterior differentia- bility, seems to inherently clash with a computer's ability of storing tion.
Discrete Differential Forms for Computational Modeling Mathieu Desbrun Eva Kanso Yiying Tongy Applied Geometry Lab Caltechz 1Motivation The emergence of …
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