PetIGA swMATH ID: 12420 Software Authors: L. Dalcin, N. Collier, P. Vignal, A.M.A. Côrtes, V.M. Calo Description: PetIGA: high-performance isogeometric analysis. This software framework implements a NURBS-based Galerkin finite element method (FEM), popularly known as isogeometric analysis (IGA). It is heavily based on PETSc, the Portable, Extensible Toolkit for Scientific Computation. PETSc is a collection of algorithms and data structures for the solution of scientific problems, particularly those modeled by partial differential equations (PDEs). PETSc is written to be applicable to a range of problem sizes, including large-scale simulations where high performance parallel is a must. PetIGA can be thought of as an extension of PETSc, which adds the NURBS discretization capability and the integration of forms. The PetIGA framework is intended for researchers in the numeric solution of PDEs who have applications which require extensive computational resources. Homepage: https://github.com/otherlab/petiga Related Software: PETSc; GeoPDEs; MUMPS; Igatools; PetIGA-MF; FEniCS; IETI; GitHub; ISOGAT; ParaView; deal.ii; PCBDDC; Firedrake; DOLFIN; tIGAr; petsc4py; Python; mpi4py; NumPy; Matplotlib Cited in: 65 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year PetIGA: a framework for high-performance isogeometric analysis. Zbl 1439.65003Dalcin, L.; Collier, N.; Vignal, P.; Côrtes, A. M. A.; Calo, V. M. 2016 all top 5 Cited by 129 Authors 18 Calo, Victor Manuel 10 Dalcín, Lisandro D. 8 Gómez, Héctor J. 6 Bazilevs, Yuri 6 Pardo, David 5 Casquero, Hugo 5 Côrtes, Adriano M. A. 5 Moutsanidis, Georgios 4 Bona-Casas, Carles 4 Kamensky, David 4 Rabczuk, Timon 4 Sarmiento, A. F. 4 Valizadeh, Navid 4 Zampini, Stefano 3 Beirão da Veiga, Lourenço 3 Espath, Luis F. R. 3 Garikipati, Krishna 3 Pavarino, Luca Franco 3 Scacchi, Simone 3 Vignal, Philippe 3 Widlund, Olof B. 2 Barton, Michael H. 2 Buffa, Annalisa 2 Deng, Quanling 2 Haji-Ali, Abdul-Lateef 2 Hashemian, Ali 2 Hillman, Michael C. 2 Li, Weican 2 Nobile, Fabio 2 Paszyński, Maciej 2 Puzyrev, Vladimir 2 Sangalli, Giancarlo 2 Tempone, Raúl F. 2 van der Ven, Ad H. G. S. 2 Varga, B. O. N. 2 Vazquez, Rafael 2 von Schwerin, Erik 2 Woźniak, Maciej 2 Zhang, Yongjie Jessica 1 Afanasiev, Michael 1 Agrawal, Manish 1 Ait-Haddou, Rachid 1 Alves, José L. D. 1 Ardekani, Arezoo M. 1 Ashour, Mohammed 1 Behzadinasab, Masoud 1 Benedusi, Pietro 1 Böhm, Christian 1 Bombarde, Dhiraj S. 1 Brown, Donald L. 1 Bueno, Jesus 1 Bui, Tinh Quoc 1 Bures, Miguel 1 Carraturo, Massimo 1 Chamoin, Ludovic 1 Chávez, Gustavo 1 Chen, Jiun-Shyan 1 Cimrman, Robert 1 Clavijo, S. P. 1 Collier, Nathan 1 Colominas, Ignasi 1 Coutinho, Alvaro L. G. A. 1 de Lucio, Mario 1 Du, Xiaoxiao 1 Elias, Renato N. 1 Ferrari, Paola 1 Fichtner, Andreas 1 Garoni, Carlo 1 Gautam, Sachin Singh 1 Gavini, Vikram 1 Ghommem, Mehdi 1 Golestanian, Mahmoud 1 Guerra, Gabriel M. 1 Guo, Mayi 1 Ha-Minh, C. 1 Hapla, Vaclav 1 Heltai, Luca 1 Hu, Tianyi 1 Hughes, Thomas J. R. 1 Ibeid, Huda 1 Jerves, Alex X. 1 Kamran, Kazem 1 Keyes, David Elliot 1 Knepley, Matthew G. 1 Kollmannsberger, Stefan 1 Krause, Rolf H. 1 Krischer, Lion 1 Kuźnik, K. 1 Leng, Yu 1 Lins, Erb F. 1 Long, Christopher C. 1 Lukeš, Vladimír 1 Medina, David A. 1 Motamarri, Phani 1 Nandy, Arup Kumar 1 Natarajan, A. R. 1 Nguyen, Minh Ngoc 1 Nguyen, Nha Thanh 1 Özcan, Ali I. 1 Pestana, Jennifer ...and 29 more Authors all top 5 Cited in 20 Serials 34 Computer Methods in Applied Mechanics and Engineering 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Journal of Computational and Applied Mathematics 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Computer Aided Geometric Design 1 Computational Mechanics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Archives of Computational Methods in Engineering 1 Stochastic and Partial Differential Equations. Analysis and Computations all top 5 Cited in 15 Fields 46 Numerical analysis (65-XX) 23 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 12 Partial differential equations (35-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Approximations and expansions (41-XX) 1 Combinatorics (05-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year