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## Re: [Getfem-users] Non-polynomial basis functions

**From**: |
Yves Renard |

**Subject**: |
Re: [Getfem-users] Non-polynomial basis functions |

**Date**: |
Tue, 22 Apr 2014 21:19:35 +0200 (CEST) |

Dear Torquil,
There is an example in getfem_mesh_fem_global_function.cc which allows to
define a mesh_fem with some arbitry global functions (i.e. a spectral method).
Moreover, with getfem_mesh_fem_product.cc it is possible to obtain the
mulitplication of standard polynomial shape functions with these global
functions. It is in fact possible to define some elements with non-polynomial
shape functions by derivating the class getfem::fem<FUNC> (see getfem_fem.h)
where FUNC should be a class provinding a certain number of operations such as
derivative and eval.
Yves.
----- Original Message -----
From: "Torquil Macdonald Sørensen" <address@hidden>
To: address@hidden
Sent: Tuesday, April 22, 2014 9:03:59 PM
Subject: [Getfem-users] Non-polynomial basis functions
Hi!
On the Getfem web page it says "Extensions are provided to describe
Hermite elements, piecewise polynomial or non-polynomial elements,
vector elements and XFEM.":
http://download.gna.org/getfem/html/homepage/
How would I go about constructing a mesh_fem that uses e.g. the
exponential function in the definition of a basis function? After
reading mesh_fem.cc, I know how to specify polynomial basis functions.
But I have not found any examples of non-polynomial mesh_fem's other
than piecewise polynomial composite mesh_fem's.
Best regards
Torquil Sørensen
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