New degrees of freedom for differential forms on cubical meshes
Lohi, J. (2023). New degrees of freedom for differential forms on cubical meshes. Advances in Computational Mathematics, 49(3), Article 42. https://doi.org/10.1007/s10444-023-10047-x
Julkaistu sarjassa
Advances in Computational MathematicsTekijät
Päivämäärä
2023Oppiaine
Computing, Information Technology and MathematicsLaskennallinen tiedeComputing, Information Technology and MathematicsComputational ScienceTekijänoikeudet
© The Author(s) 2023
We consider new degrees of freedom for higher order differential forms on cubical meshes. The approach is inspired by the idea of Rapetti and Bossavit to define higher order Whitney forms and their degrees of freedom using small simplices. We show that higher order differential forms on cubical meshes can be defined analogously using small cubes and prove that these small cubes yield unisolvent degrees of freedom. Importantly, this approach is compatible with discrete exterior calculus and expands the framework to cover higher order methods on cubical meshes, complementing the earlier strategy based on simplices.
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SpringerISSN Hae Julkaisufoorumista
1019-7168Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/183611975
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