GeoPDEs swMATH ID: 6413 Software Authors: de Falco, C.; Reali, A.; Vázquez, R. Description: GeoPDEs: a research tool for isogeometric analysis of PDEs. GeoPDEs (http://geopdes.sourceforge.net) is a suite of free software tools for applications on isogeometric analysis (IGA), see [T. J. R. Hughes, J. A. Cottrell and Y. Bazilevs, Comput. Methods Appl. Mech. Eng. 194, No. 39–41, 4135–4195 (2005; Zbl 1151.74419)]. 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. Homepage: http://geopdes.sourceforge.net/ Keywords: NURBS; B-splines; Matlab; Octave Related Software: ISOGAT; IETI; PetIGA; Igatools; Matlab; NURBS; ParaView; Tensorlab; G+Smo; GitHub; PETSc; Octave; BEMECH; NURBS; FEniCS; PetIGA-MF; PCBDDC; Matplotlib; RODAS; FEAPpv Cited in: 129 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year GeoPDEs: a research tool for isogeometric analysis of PDEs. Zbl 1246.35010de Falco, C.; Reali, A.; Vázquez, R. 2011 all top 5 Cited by 220 Authors 18 Sangalli, Giancarlo 13 Beirão da Veiga, Lourenço 13 Vazquez, Rafael 12 Pavarino, Luca Franco 11 Buffa, Annalisa 10 Scacchi, Simone 10 Tani, Mattia 9 Cho, Durkbin 8 Reali, Alessandro 8 Wohlmuth, Barbara I. 6 Schöps, Sebastian 5 Bordas, Stéphane Pierre Alain 5 Calo, Victor Manuel 5 Montardini, Monica 4 Antolin, Pablo 4 Coradello, Luca 4 Dai, Rui 4 Dede’, Luca 4 Desmet, Wim 4 Dong, Chunying 4 Giannelli, Carlotta 4 Loli, Gabriele 4 Nikolić, Vanja 4 Quarteroni, Alfio M. 4 Widlund, Olof B. 4 Wunderlich, Linus 4 Xu, Chuang 4 Zhu, Shengfeng 3 Auricchio, Ferdinando 3 Balobanov, Viacheslav 3 Bracco, Cesare 3 Coox, Laurens 3 Ding, Chensen 3 Gómez, Héctor J. 3 Greco, Francesco 3 Merkel, Melina 3 Niiranen, Jarkko 3 Tamellini, Lorenzo 3 Vandepitte, Dirk 3 Yang, Huashi 3 Zampini, Stefano 2 Beck, Joakim 2 Carraturo, Massimo 2 Chanon, Ondine 2 Charawi, Lara Antonella 2 Corno, Jacopo 2 Deng, Quanling 2 Ding, Yanjun 2 Drzisga, Daniel 2 Gahalaut, K. P. S. 2 Horger, Thomas 2 Kapidani, Bernard 2 Keith, Brendan 2 Kiendl, Josef 2 Kraus, Johannes K. 2 Kurz, Stefan 2 Li, Richen 2 Lian, Haojie 2 Lovadina, Carlo 2 Malagù, Marcello 2 Maurin, Florian Paul Robert 2 Puzyrev, Vladimir 2 Rabczuk, Timon 2 Tamma, Kumar K. 2 Tomar, Satyendra K. 2 Wu, Qingbiao 2 Zampieri, Elena 2 Zhan, Yunsheng 2 Zhang, Yongjie Jessica 1 Ackermann, Wolfgang 1 Agrawal, Manish 1 Anitescu, Cosmin 1 Arf, Jeremias 1 Arroyo, Marino 1 Atak, Onur 1 Atroshchenko, Elena 1 Baghani, Mostafa 1 Bazilevs, Yuri 1 Behnoudfar, Pouria 1 Benvenuti, Elena 1 Bombarde, Dhiraj S. 1 Bontinck, Zeger 1 Bosy, Michał 1 Brivadis, Ericka 1 Brugiapaglia, Simone 1 Bu, Ling-Ze 1 Bucelli, Michele 1 Bünger, Alexandra 1 Calabró, Francesco 1 Cao, Geyong 1 Cavallini, Nicola 1 Cazzani, Antonio M. 1 Chen, Chun-Pei 1 Chen, Dexiang 1 Chen, Joshua 1 Chen, Yaxiong 1 Colominas, Ignasi 1 Conti, Michele 1 Côrtes, Adriano M. A. 1 Cui, Xiangyang ...and 120 more Authors all top 5 Cited in 29 Serials 64 Computer Methods in Applied Mechanics and Engineering 9 Computers & Mathematics with Applications 7 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Mathematics and Computers in Simulation 2 Computer Aided Geometric Design 2 ETNA. Electronic Transactions on Numerical Analysis 1 Computers and Fluids 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Advances in Computational Mathematics 1 European Journal of Mechanics. A. Solids 1 Archives of Computational Methods in Engineering 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computational & Mathematical Methods in Medicine 1 Communications in Computational Physics 1 Journal of Mathematics in Industry 1 Axioms 1 Evolution Equations and Control Theory all top 5 Cited in 20 Fields 113 Numerical analysis (65-XX) 47 Mechanics of deformable solids (74-XX) 23 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 5 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year