template<template< class, unsigned int > class LP, unsigned int dimDomain, class D, class R, class SF = R, class CF = SF>
class Dune::LagrangeLocalFiniteElement< LP, dimDomain, D, R, SF, CF >
Lagrange local finite elements for a given set of interpolation points.
The class LP provides the points for the interpolation. It has two template arguments, the first is the Field type to use for evaluating the points the second the dimension of the reference elements on which to construct the points. It is instantiated with the desired order and has a template method build taking a Topology to construct the points (a std::vector of FieldVectors). It also provides a static template method supports to indicate if the point set can be build for a specified Topology.
Examples include:
- EquidistantPointSet: standard point set for Lagrange points
- LobattoPointSet: an approximate Freget type point set (provided for simplex and generalized prism topologies (i.e. not for a 3d pyramid)
- Template Parameters
-
LP | a template class defining the points for the lagrange interpolation |
dimDomain | dimension of reference elements |
D | domain for basis functions |
R | range for basis functions |
SF | storage field for basis matrix |
CF | compute field for basis matrix |