
Simple curlcurlconforming finite elements in two dimensions
We construct smooth finite element de Rham complexes in two space dimens...
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Foundations of spacetime finite element methods: polytopes, interpolation, and integration
The main purpose of this article is to facilitate the implementation of ...
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Code generation for generally mapped finite elements
Many classical finite elements such as the Argyris and Bell elements hav...
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Balancing truncation and roundoff errors in practical FEM: onedimensional analysis
In finite element methods (FEMs), the accuracy of the solution cannot in...
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A class of finite dimensional spaces and H(div) conformal elements on general polytopes
We present a class of discretisation spaces and H(div)conformal element...
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Additive Schwarz methods for serendipity elements
While solving Partial Differential Equations (PDEs) with finite element ...
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Level set based eXtended finite element modelling of the response of fibrous networks under hygroscopic swelling
Materials like paper, consisting of a network of natural fibres, exposed...
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Three families of graddivconforming finite elements
Several smooth finite element de Rham complexes are constructed in threedimensional space, which yield three families of graddiv conforming finite elements. The simplest element has only 8 degrees of freedom (DOFs) for a tetrahedron and 14 DOFs for a cuboid. These elements naturally lead to conforming approximations to quaddiv problems. Numerical experiments for each family validate the correctness and efficiency of the elements for solving the quaddiv problem.
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