G+Smo swMATH ID: 14372 Software Authors: Angelos Mantzaflaris, Bert Jüttler Description: G+Smo (Geometry + Simulation Modules, pronounced ”gismo”) is an open-source C++ library that brings together mathematical tools for geometric design and numerical simulation. It is developed mainly by researchers and PhD students. It implements the relatively new paradigm of isogeometric analysis, which suggests the use of a unified framework in the design and analysis pipeline. G+Smo is an object-oriented, cross-platform, template C++ library and follows the generic programming principle, with a focus on both efficiency and ease of use. The library is partitioned into smaller entities, called modules. Examples of available modules include the dimension-independent NURBS module, the data fitting and solid segmentation module, the PDE discretization module and the adaptive spline module, based on hierarchical splines of arbitrary dimension and polynomial degree. The library is licensed under the Mozilla Public License v2.0. It has been developed within the homonym researc h network supported by the Austrian Science Fund and aims at providing access to high quality, open-source software to the forming isogeometric numerical simulation community and beyond. Homepage: http://www.gs.jku.at/gismo Keywords: hierarchical splines; isogeometric analysis; multipatch; tensor-product splines Related Software: ISOGAT; IETI; GitHub; GeoPDEs; Eigen; Igatools; PetIGA; FEniCS; NewtonLib; Matlab; ParaView; Trilinos; PARDISO; KNITRO; MPI; Tensorlab; Axl; CutFEM; CGAL; Bembel Cited in: 53 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year An overview of geometry plus simulation modules. Zbl 07441089Mantzaflaris, Angelos 2020 all top 5 Cited by 70 Authors 13 Jüttler, Bert 11 Mantzaflaris, Angelos 9 Hofer, Christoph D. 9 Langer, Ulrich 6 Toulopoulos, Ioannis 4 Moore, Stephen Edward 4 Schneckenleitner, Rainer 4 Simeon, Bernd 4 Takacs, Stefan 3 Giust, Alessandro 3 Hu, Ping 3 Scholz, Felix 3 Shamanskiy, Alexander 3 Weeger, Oliver 2 Bastl, Bohumír 2 Bordas, Stéphane Pierre Alain 2 Dunn, Martin L. 2 Hu, Qingyuan 2 Khoromskiĭ, Boris Nikolaevich 2 Mokriš, Dominik 2 Narayanan, Bharath 2 Pan, Maodong 2 Takacs, Thomas 2 Weinmüller, Pascal 2 Xia, Yang 1 Arioli, Clarissa 1 Atroshchenko, Elena 1 Buchegger, Florian 1 Calo, Victor Manuel 1 Cao, Geyong 1 Chen, Falai 1 Cheng, Gengdong 1 Chouly, Franz 1 Chu, Ba-Duong 1 Côrtes, Adriano M. A. 1 Dalcín, Lisandro D. 1 de Lorenzis, Laura 1 Du, Xiaoxiao 1 Egermaier, Jiří 1 Gfrerer, Michael Helmut 1 Giannelli, Carlotta 1 Groiss, Lisa 1 Guo, Mayi 1 Hinz, Jochen 1 Horníková, Hana 1 Huo, Wendong 1 Kiendl, Josef 1 Kleiss, Stefan K. 1 Klinkel, Sven 1 Martin, Florian G. 1 Matculevich, Svetlana 1 Michálková, Kristýna 1 Natarajan, Sundararajan 1 Neumüller, Martin 1 Reif, Ulrich 1 Repin, Sergeĭ Igorevich 1 Schillinger, Dominik 1 Shen, Guozhe 1 Slabá, Kristýna 1 Špeh, Jaka 1 Vignal, Philippe 1 Wang, Hongshuai 1 Wang, Wei 1 Yang, Jiaming 1 Yu, Bo 1 Zhao, Gang 1 Zheng, Guojun 1 Zheng, Ye 1 Zhou, Huanlin 1 Zilian, Andreas all top 5 Cited in 16 Serials 19 Computer Methods in Applied Mechanics and Engineering 5 Computers & Mathematics with Applications 4 Computer Aided Geometric Design 3 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 SIAM Journal on Scientific Computing 2 Computational Methods in Applied Mathematics 1 Applicable Analysis 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Advances in Computational Mathematics 1 Journal of Applied Mathematics and Computing all top 5 Cited in 9 Fields 50 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 6 Computer science (68-XX) 3 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year