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Showing 1 to 2 of 2 for “"Discrete Hodge Star"”.
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The Discrete Hodge Star Operator and Poincaré Duality
… to Poincaré duality. We examine the role of the discrete Hodge star operator in proving and in realizing the Poincaré duality isomorphism (between cohomology and homology in complementary degrees) in a cellular setting without reference to a dual cell complex. More specifically, we provide a …
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Hodge Laplacians on simplicial meshes and graphs
… equations, and our model problem is the Hodge Laplacian Poisson problem on differential k-forms on n dimensional manifolds. One of our major contributions in this work is the computational quantification of the solution using the weak mixed formulation of this problem on simplicial meshes …