GeoPDEs: A research tool for Isogeometric Analysis of PDEs

Authors:
C. De Falco;A. Reali;R. VáZquez
Affiliations:
MOX-Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy;Dipartimento di Meccanica Strutturale, Universití degli Studi di Pavia, Via Ferrata, 1, 27100 Pavia, Italy and Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata, ...;Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata, 1, 27100 Pavia, Italy
Venue:
Advances in Engineering Software
Year:
2011

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Abstract

GeoPDEs (http://geopdes.sourceforge.net) is a suite of free software tools for applications on Isogeometric Analysis (IGA). Its main focus is on providing a common framework for the implementation of the many IGA methods for the discretization of partial differential equations currently studied, mainly based on B-Splines and Non-Uniform Rational B-Splines (NURBS), while being flexible enough to allow users to implement new and more general methods with a relatively small effort. This paper presents the philosophy at the basis of the design of GeoPDEs and its relation to a quite comprehensive, abstract definition of IGA.