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Mathematics  2011 

Non conforming vector finite elements for H(curl) intersected with H(div)

DOI: 10.1016/j.aml.2011.09.016

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Abstract:

We present a family of nonconforming vector finite elements of arbitrary order for problems posed on the space (curl) intersected with H(div) on a bidimensional domain. This result was first stated as a conjecture by Brenner and Sung. In contrast an extension of the same conjecture to three dimensional domains is disproved.

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