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Construction of local finite element spaces using the generic reference elements
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Dedner, Andreas and Nolte, Martin (2012) Construction of local finite element spaces using the generic reference elements. Advances in Dune . pp. 3-16. doi:10.1007/978-3-642-28589-9_1
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Official URL: http://dx.doi.org/10.1007/978-3-642-28589-9_1
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Advances in Dune | ||||
Publisher: | Springer Verlag | ||||
Book Title: | Advances in DUNE | ||||
Official Date: | 2012 | ||||
Dates: |
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Page Range: | pp. 3-16 | ||||
DOI: | 10.1007/978-3-642-28589-9_1 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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