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

[Yves Renard]

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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