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S Oct 31, 2019 at 17:18 comment added Sophie M As they say in the abstract, this retroactively explains the diversity of discrete Laplacians in the literature. I don't know to what extent this result applies to Chung and Yau's setup.
S Oct 31, 2019 at 17:18 comment added Sophie M The paper "Discrete Laplace operators: no free lunch" by Wardetzky, Mathur, K{\"a}lberer, and Grinspun (cs.columbia.edu/cg/pdfs/1180993110-laplacian.pdf) discusses several nice properties of the Laplacian (symmetry, positive semi-definiteness, maximum principle, kernel containing the constant functions, and two others) and shows that no linear operator on functions defined on a triangular mesh can have all of these properties. (continued)
Oct 31, 2019 at 16:14 history edited LSpice CC BY-SA 4.0
MathSciNet link
Oct 31, 2019 at 6:55 answer added Ivan Izmestiev timeline score: 6
Oct 30, 2019 at 22:15 history asked Student CC BY-SA 4.0