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math.NA2022
Fractured Meshes
Martin Averseng, Xavier Claeys, Ralf Hiptmair
This work introduces ``generalized meshes", a type of meshes suited for the discretization of partial differential equations in non-regular geometries. Generalized meshes extend re…
math.FA2022
Traces for Hilbert Complexes
Ralf Hiptmair, Dirk Pauly, Erick Schulz
We study a new notion of trace operators and trace spaces for abstract Hilbert complexes. We introduce trace spaces as quotient spaces/annihilators. We characterize the kernels and…