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.

References in zbMATH (referenced in 63 articles , 1 standard article )

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  1. Bombarde, Dhiraj S.; Agrawal, Manish; Gautam, Sachin S.; Nandy, Arup: Hellinger-Reissner principle based stress-displacement formulation for three-dimensional isogeometric analysis in linear elasticity (2022)
  2. Hu, Tianyi; Leng, Yu; Gomez, Hector: A novel method to impose boundary conditions for higher-order partial differential equations (2022)
  3. López, Jorge; Valizadeh, Navid; Rabczuk, Timon: An isogeometric phase-field based shape and topology optimization for flexoelectric structures (2022)
  4. Telikicherla, Ram Mohan; Moutsanidis, Georgios: Treatment of near-incompressibility and volumetric locking in higher order material point methods (2022)
  5. Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon: Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields (2021)
  6. Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano: Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation (2021)
  7. Casquero, Hugo; Bona-Casas, Carles; Toshniwal, Deepesh; Hughes, Thomas J. R.; Gomez, Hector; Zhang, Yongjie Jessica: The divergence-conforming immersed boundary method: application to vesicle and capsule dynamics (2021)
  8. de Lucio, Mario; Bures, Miguel; Ardekani, Arezoo M.; Vlachos, Pavlos P.; Gomez, Hector: Isogeometric analysis of subcutaneous injection of monoclonal antibodies (2021)
  9. Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas: Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling (2021)
  10. Hashemian, Ali; Pardo, David; Calo, Victor M.: Refined isogeometric analysis for generalized Hermitian eigenproblems (2021)
  11. Kamensky, David: Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr (2021)
  12. Moutsanidis, Georgios; Li, Weican; Bazilevs, Yuri: Reduced quadrature for FEM, IGA and meshfree methods (2021)
  13. Nguyen, Minh Ngoc; Nguyen, Nha Thanh; Truong, Thien Tich; Bui, Tinh Quoc: An efficient reduced basis approach using enhanced meshfree and combined approximation for large deformation (2021)
  14. Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.: Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity (2021)
  15. Bazilevs, Yuri; Kamensky, David; Moutsanidis, Georgios; Shende, Shaunak: Residual-based shock capturing in solids (2020)
  16. Cortes, Adriano M. A.; Lins, Erb F.; Guerra, Gabriel M.; Silva, Rômulo M.; Alves, José L. D.; Elias, Renato N.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A.: EdgeCFD: a parallel residual-based variational multiscale code for multiphysics (2020)
  17. Du, Xiaoxiao; Zhao, Gang; Wang, Wei; Guo, Mayi; Zhang, Ran; Yang, Jiaming: NLIGA: a MATLAB framework for nonlinear isogeometric analysis (2020)
  18. Medina, David; Valizadeh, Navid; Samaniego, Esteban; Jerves, Alex X.; Rabczuk, Timon: Isogeometric analysis of insoluble surfactant spreading on a thin film (2020)
  19. Moutsanidis, Georgios; Long, Christopher C.; Bazilevs, Yuri: IGA-MPM: the isogeometric material point method (2020)
  20. Takacs, Stefan: Fast multigrid solvers for conforming and non-conforming multi-patch isogeometric analysis (2020)

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