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GeoPDES: Software for Isogeometric Analysis

Posted November 8, 2010 at 11:09 by praveen
Tags software

Isogeometric Analysis is a relatively new approach proposed by T. J. R. Hughes and his group to combine CAD and finite element analysis. The basic idea is to use the same (finite) representations for the geometry and FEM solution space, mostly based on B-splines and NURBS. The major advantage is the exact representation of geometry in computer aided design and analysis. An excellent introduction is given in the book

Isogeometric Analysis: Toward Integration of CAD and FEA
by J. Austin Cottrell, Thomas J.R. Hughes, Yuri Bazilevs

There has already been considerable work on using IA for structural problems, and some problems in fluid dynamics for incompressible flow, but I have not come across any works on compressible flows.

GeoPdes is a matlab/octave software for isogeometric analysis which was recently announced on the NA Digest mailing list

Quote:
GeoPDEs is a suite of free software tools for research on IGA,
being developed and maintained as a cooperation of IMATI,
Universita' di Pavia and Politecnico di Milano. It has been
implemented in Octave, and is fully compatible with Matlab.

GeoPDEs has been written with two main objectives. First, to
serve as an entry point for beginners interested in understanding
the basic issues involved in the implementation of an IGA code.
Second, to provide a rapid prototyping and testing tool for new
IGA algoritmhs and methods.

The software is available at
http://geopdes.sourceforge.net
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