Abstract
Based on the recursive definition of the generic reference elements in Dune-Grid, we present an effective framework for the implementation of finite element shape functions. Such a shape function set is described by a set of functionals defining the degrees of freedom and an arbitrary basis of the finite element space on the reference element. To illustrate the power of this approach we show how Lagrange shape functions, Raviart-Thomas shape functions, and L 2-orthonormal shape functions fit into this framework.
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© 2012 Springer-Verlag Berlin Heidelberg
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Dedner, A., Nolte, M. (2012). Construction of Local Finite Element Spaces Using the Generic Reference Elements. In: Dedner, A., Flemisch, B., Klöfkorn, R. (eds) Advances in DUNE. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28589-9_1
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DOI: https://doi.org/10.1007/978-3-642-28589-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28588-2
Online ISBN: 978-3-642-28589-9
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