A characterization of second order differential operators on finite element spaces.

Christiansen, Snorre H.
Research report
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Year
2003
Permanent link
http://urn.nb.no/URN:NBN:no-23773

Is part of
Preprint series. Pure mathematics
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Abstract
We describe all operators on scalar finite element spaces which appear as the restriction of a second order (linear) differential operator. More precisely we provide a family of isomorphisms between this space of discrete differential operators and products of some exotic finite element spaces. This provides a unified framework for the Regge calculus of numerical relativity and the Nédélec edge elements of computational electromagnetism.