Finite element differential forms on curvilinear cubic meshes and their approximation properties

From MaRDI portal
Publication:2514237

DOI10.1007/s00211-014-0631-3zbMath1308.65193arXiv1212.6559OpenAlexW3105759157WikidataQ59038658 ScholiaQ59038658MaRDI QIDQ2514237

Douglas N. Arnold, Francesca Bonizzoni, Daniele Boffi

Publication date: 3 February 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6559




Related Items (28)

Maxwell’s Equations: Continuous and DiscreteConservative interpolation of edge and face data on \(n\) dimensional structured grids using differential formsLocal coderivatives and approximation of Hodge Laplace problemsA mixed finite element discretization of dynamical optimal transportStokes elements on cubic meshes yielding divergence-free approximationsBringing Trimmed Serendipity Methods to Computational Practice in FiredrakeHigh order approximation of Hodge Laplace problems with local coderivatives on cubical meshesA primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshesNonstandard finite element de Rham complexes on cubical meshesAdditive Schwarz Methods for Serendipity ElementsHilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022New degrees of freedom for differential forms on cubical meshesDiscrete conservation properties for shallow water flows using mixed mimetic spectral elementsRefinement strategies related to cubic tetrahedral meshesConstruction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedraNumerical studies of serendipity and tensor product elements for eigenvalue problemsA mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphereFinite element differential forms on cubical meshes\(H^1\)-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshesSerendipity and Tensor Product Affine Pyramid Finite ElementsSplitting-Based Structure Preserving Discretizations for MagnetohydrodynamicsDuality in finite element exterior calculus and Hodge duality on the sphereComputational Serendipity and Tensor Product Finite Element Differential FormsAutomated Generation and Symbolic Manipulation of Tensor Product Finite ElementsTwo Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal DimensionVirtual element methods for three-dimensional Hellinger-Reissner elastostatic problemsImproving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elementsStabilized Galerkin for transient advection of differential forms



Cites Work


This page was built for publication: Finite element differential forms on curvilinear cubic meshes and their approximation properties