
Finite elements for divdivconforming symmetric tensors
Two types of finite element spaces on triangles are constructed for div...
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A discrete elasticity complex on threedimensional Alfeld splits
We construct conforming finite element elasticity complexes on the Alfel...
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Finite elements for divdivconforming symmetric tensors in three dimensions
Two types of finite element spaces on a tetrahedron are constructed for ...
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Fortin Operator for the TaylorHood Element
We design a Fortin operator for the lowestorder TaylorHood element in ...
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The magnetic field from a homogeneously magnetized cylindrical tile
The magnetic field of a homogeneously magnetized cylindrical tile geomet...
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Finite Element Systems for vector bundles : elasticity and curvature
We develop a theory of Finite Element Systems, for the purpose of discre...
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Fast Evaluation of Finite Element Weak Forms Using Python Tensor Contraction Packages
In finite element calculations, the integral forms are usually evaluated...
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A finite element elasticity complex in three dimensions
A finite element elasticity complex on tetrahedral meshes is devised. The H^1 conforming finite element is the smooth finite element developed by Neilan for the velocity field in a discrete Stokes complex. The symmetric divconforming finite element is the HuZhang element for stress tensors. The construction of an H(inc)conforming finite element for symmetric tensors is the main focus of this paper. The key tools of the construction are the decomposition of polynomial tensor spaces and the characterization of the trace of the inc operator. The polynomial elasticity complex and Koszul elasticity complex are created to derive the decomposition of polynomial tensor spaces. The trace of the inc operator is induced from a Green's identity. Trace complexes and bubble complexes are also derived to facilitate the construction. Our construction appears to be the first H(inc)conforming finite elements on tetrahedral meshes without further splits.
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