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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 which allows to 
define a mesh_fem  with some arbitry global functions (i.e. a spectral method). 
Moreover, with 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.


----- 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


On the Getfem web page it says "Extensions are provided to describe
Hermite elements, piecewise polynomial or non-polynomial elements,
vector elements and XFEM.":

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, 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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