GeoPDEs: A research tool for Isogeometric Analysis of PDEs |
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| Authors: | C de Falco A Reali R Vázquez |
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| Affiliation: | aMOX-Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy;bDipartimento di Meccanica Strutturale, Università degli Studi di Pavia, Via Ferrata, 1, 27100 Pavia, Italy;cIstituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata, 1, 27100 Pavia, Italy;dEUCENTRE, via Ferrata, 1, 27100 Pavia, Italy |
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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. |
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| Keywords: | Isogeometric Analysis Finite element method NURBS B-Splines Matlab Octave |
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