
Three families of graddivconforming finite elements
Several smooth finite element de Rham complexes are constructed in three...
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A family of C^1 quadrilateral finite elements
We present a novel family of C^1 quadrilateral finite elements, which de...
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Generalized Circuit Elements
The structural analysis, i.e., the investigation of the differentialalg...
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Additive Schwarz methods for serendipity elements
While solving Partial Differential Equations (PDEs) with finite element ...
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Dörfler marking with minimal cardinality is a linear complexity problem
Most adaptive finite element strategies employ the Dörfler marking strat...
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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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Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
We consider finite element approximations of the Maxwell eigenvalue prob...
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Simple curlcurlconforming finite elements in two dimensions
We construct smooth finite element de Rham complexes in two space dimensions. This leads to three families of curlcurl conforming finite elements, two of which contain two existing families. The simplest triangular and rectangular finite elements have only 6 and 8 degrees of freedom, respectively. Numerical experiments for each family demonstrate the convergence and efficiency of the elements for solving the quadcurl problem.
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