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.

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  1. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  2. Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos: Local (T)HB-spline projectors via restricted hierarchical spline fitting (2020)
  3. Hu, Qingyuan; Xia, Yang; Natarajan, Sundararajan; Zilian, Andreas; Hu, Ping; Bordas, Stéphane P. A.: Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method (2020)
  4. Moore, Stephen Edward: Discontinuous Galerkin isogeometric analysis for elliptic problems with discontinuous diffusion coefficients on surfaces (2020)
  5. Pan, Maodong; Jüttler, Bert; Giust, Alessandro: Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up (2020)
  6. Shamanskiy, Alexander; Gfrerer, Michael Helmut; Hinz, Jochen; Simeon, Bernd: Isogeometric parametrization inspired by large elastic deformation (2020)
  7. Arioli, Clarissa; Shamanskiy, Alexander; Klinkel, Sven; Simeon, Bernd: Scaled boundary parametrizations in isogeometric analysis (2019)
  8. Hofer, Christoph; Langer, Ulrich: Dual-primal isogeometric tearing and interconnecting methods (2019)
  9. Hofer, Christoph; Langer, Ulrich; Neumüller, Martin; Schneckenleitner, Rainer: Parallel and robust preconditioning for Space-Time isogeometric analysis of parabolic evolution problems (2019)
  10. Hofer, Christoph; Langer, Ulrich; Toulopoulos, Ioannis: Isogeometric analysis on non-matching segmentation: discontinuous Galerkin techniques and efficient solvers (2019)
  11. Hofer, Christoph; Takacs, Stefan: A parallel multigrid solver for multi-patch isogeometric analysis (2019)
  12. Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis: Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients (2019)
  13. Moore, Stephen Edward: Space-time multipatch discontinuous Galerkin isogeometric analysis for parabolic evolution problems (2019)
  14. Weeger, Oliver; Narayanan, Bharath; Dunn, Martin L.: Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures (2019)
  15. Hu, Qingyuan; Chouly, Franz; Hu, Ping; Cheng, Gengdong; Bordas, Stéphane P. A.: Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact (2018)
  16. Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey: Functional type error control for stabilised space-time IgA approximations to parabolic problems (2018)
  17. Matculevich, S.: Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems (2018)
  18. Moore, Stephen Edward: Discontinuous Galerkin isogeometric analysis for the biharmonic equation (2018)
  19. Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert: Partial tensor decomposition for decoupling isogeometric Galerkin discretizations (2018)
  20. Hofer, Christoph: Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods (2017)

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