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

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

2011-01-03

arxiv.org/abs/1101.0587v2

Mathematics

Numerical Analysis

6 pages

Scientific paper

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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