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arXiv:2109.02553 [math.NA]AbstractReferencesReviewsResources

Broken-FEEC approximations of Hodge Laplace problems

Martin Campos-Pinto, Yaman Güçlü

Published 2021-09-06Version 1

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.

Comments: 24 pages, 3 figures
Categories: math.NA, cs.NA
Subjects: 65N30, 58A14, 65N12
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