Broken-FEEC approximations of Hodge Laplace problems

09/06/2021

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by   Martin Campos Pinto, et al.

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In this article we study nonconforming discretizations of Hilbert complexes that involve broken spaces and projection operators to structure-preserving conforming discretizations. Under the usual assumptions for the underlying conforming subcomplexes, as well as stability and moment-preserving properties for the conforming projection operators, we establish the convergence of the resulting nonconforming discretizations of Hodge-Laplace source and eigenvalue problems.