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Showing 1 to 4 of 4 for “"Discrete Differential Forms"”.
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Algebraic Multigrid for Discrete Differential Forms
Discrete differential forms arise in scientific disciplines ranging from computational electromagnetics to computer graphics. Examples include stable discretizations of the eddy-current problem, topological methods for sensor network coverage, visualization of complex flows, surface …
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Topological Deep Learning: Graphs, Complexes, Sheaves
… and how they can learn representations based on discrete differential forms. The second work takes this generalisation further to cell complexes, a class of spaces that also subsume simplicial complexes. We show their additional flexibility benefits molecular applications, where the resulting …
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Complex Analysis on Planar Cell Complexes
This paper is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this theory is largely integration-based. A combination of two cell complexes, the double and its associated diamond complex, allows for the development …