GeoPDEs: A research tool for Isogeometric Analysis of PDEs

被引:179
作者
de Falco, C. [1 ]
Reali, A. [2 ,3 ,4 ]
Vazquez, R. [3 ]
机构
[1] Politecn Milan, Dipartimento Matemat, MOX Modeling & Sci Comp, I-20133 Milan, Italy
[2] Univ Pavia, Dipartimento Meccan Strutturale, I-27100 Pavia, Italy
[3] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy
[4] EUCENTRE, I-27100 Pavia, Italy
基金
欧洲研究理事会;
关键词
Isogeometric Analysis; Finite element method; NURBS; B-Splines; Matlab; Octave; FINITE-ELEMENTS; B-SPLINES; APPROXIMATION; FORMULATION; REFINEMENT; NURBS;
D O I
10.1016/j.advengsoft.2011.06.010
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1020 / 1034
页数:15
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