Compatible finite element spaces for metrics with curvature
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Description: |
Christiansen, S
Tuesday 1st October 2019 - 14:30 to 15:30 |
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Created: | 2019-10-01 15:38 |
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Collection: | Geometry, compatibility and structure preservation in computational differential equations |
Publisher: | Isaac Newton Institute |
Copyright: | Christiansen, S |
Language: | eng (English) |
Abstract: | I will present some new finite element spaces for metrics with integrable curvature. These were obtained in the framework of finite element systems, developed for constructing differential complexes with adequate gluing conditions between the cells of a mesh. The new spaces have a higher regularity than those of Regge calculus, for which the scalar curvature contains measures supported on lower dimensional simplices (Dirac deltas). This is joint work with Kaibo Hu. |
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