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Articles

[2512.16525] A non-negativity-preserving cut-cell discontinuous Galerkin method for the diffusive wave equation

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By Peter Bastian
| arXiv
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[2507.12226] Optimal Spectral Approximation in the Overlaps for Generalized Finite Element Methods

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By Peter Bastian, Moritz Hauck, Robert Scheichl
| arXiv
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The Distributed and Unified Numerics Environment (DUNE)

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By Peter Bastian, Universität Heidelberg, Markus Blatt, Christian Engwer
| tu-dresden.de
Most finite element or finite volume software is built around a fixed mesh data structure. Therefore, each software package can only be used efficiently for a relatively narrow class of applications. For example, implementations supporting unstructured meshes allow the approximation of complex geometries but are in general much slower and require more memory than implementations using structured meshes. In this paper we show how a generic mesh interface can be defined such that one algorithm, e. g.
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