Articolo in rivista, 2011, ENG, 10.1016/j.advengsoft.2011.06.010

GeoPDEs: a research tool for Isogeometric Analysis of PDEs

C. de Falco, A. Reali, and R. Vázquez

Dipartimento di Matematica, Politecnico di Milano; Dipartimento di Meccanica Strutturale, Universita di Pavia; Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia.

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.

Advances in engineering software (1992) 42 (12), pp. 1020–1034

Keywords

Isogeometric Analysis, Finite element method, NURBS, B-Splines, Matlab

CNR authors

Reali Alessandro, De Falco Carlo, Vazquez Hernandez Rafael

CNR institutes

IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"