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Showing 1 to 2 of 2 for “"Hodge Laplacians"”.
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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 …
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A tensor product approach to non-local differential complexes
… properties, and obtain associated self-adjoint Hodge Laplacians. For the case of _d_-regular measures and operators of fractional Laplacian type, we provide results on removable sets in terms of Hausdorff measures. We prove a Mayer-Vietoris principle and a Poincaré lemma, and show that, in the …