Series: TR 2002-01, Technical Reports
Abstract:
The basis of mapped finite element methods are reference
elements where the components of a local finite element are
defined. The local finite element on an arbitrary mesh cell
will be given by a map from the reference mesh cell. This
paper describes some concepts of the implementation of
mapped finite element methods. From the definition of mapped
finite elements, only local degrees of freedom are
available. These local degrees of freedom have to be
assigned to theglobal degrees of freedom which define the
finite element space. We will present an algorithm which
computes this assignment. The second part of the paper
shows examples of algorithms which are implemented
with the help of mapped finite elements. In particular, we
explain how the evaluation of integrals and the transfer
between arbitrary finite element spaces can be implemented
easily and computed efficiently.
Keywords:
mapped finite elemen