deal.ii

deal.II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. It uses state-of-the-art programming techniques to offer you a modern interface to the complex data structures and algorithms required. The main aim of deal.II is to enable rapid development of modern finite element codes, using among other aspects adaptive meshes and a wide array of tools classes often used in finite element program. Writing such programs is a non-trivial task, and successful programs tend to become very large and complex. We believe that this is best done using a program library that takes care of the details of grid handling and refinement, handling of degrees of freedom, input of meshes and output of results in graphics formats, and the like. Likewise, support for several space dimensions at once is included in a way such that programs can be written independent of the space dimension without unreasonable penalties on run-time and memory consumption.


References in zbMATH (referenced in 560 articles , 2 standard articles )

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  1. Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The \textscdeal.II finite element library: design, features, and insights (2021)
  2. Balaje Kalyanaraman, Michael H. Meylan, Bishnu P. Lamichhane, Luke G. Bennetts: iceFEM: A FreeFem package for wave induced ice-shelf vibrations (2021) not zbMATH
  3. Baumgarten, Niklas; Wieners, Christian: The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods (2021)
  4. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  5. Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko: Optimality criteria method in 2D linearized elasticity problems (2021)
  6. Darian, Hossein Mahmoodi: Investigation of C++ variadic templates for numerical methods and finite difference schemes (2021)
  7. Kamal Asok, Harshin: Interface adapted LBB-stable finite elements on fluid structure interaction problems in fully Eulerian framework (2021)
  8. Koch, Timo; Gläser, Dennis; Weishaupt, Kilian; Ackermann, Sina; Beck, Martin; Becker, Beatrix; Burbulla, Samuel; Class, Holger; Coltman, Edward; Emmert, Simon; Fetzer, Thomas; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid; Scherrer, Samuel; Schneider, Martin; Seitz, Gabriele; Stadler, Leopold; Utz, Martin; Weinhardt, Felix; Flemisch, Bernd: DuMu(^\textx 3) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling (2021)
  9. Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran: On the meshfree particle methods for fluid-structure interaction problems (2021)
  10. Aggul, Mustafa: Defect correcting extrapolation technique for Oseen and Navier-Stokes flows (2020)
  11. Anselmann, Mathias; Bause, Markus: Numerical study of Galerkin-collocation approximation in time for the wave equation (2020)
  12. Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David: The deal.II library, version 9.2 (2020)
  13. Arora, Rajat; Zhang, Xiaohan; Acharya, Amit: Finite element approximation of finite deformation dislocation mechanics (2020)
  14. Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc: A generic finite element framework on parallel tree-based adaptive meshes (2020)
  15. Bause, M.; Köcher, U.; Radu, F. A.; Schieweck, F.: Post-processed Galerkin approximation of improved order for wave equations (2020)
  16. Bonito, Andrea; Girault, Vivette; Süli, Endre: Finite element approximation of a strain-limiting elastic model (2020)
  17. Bui, Quan M.; Osei-Kuffuor, Daniel; Castelletto, Nicola; White, Joshua A.: A scalable multigrid reduction framework for multiphase poromechanics of heterogeneous media (2020)
  18. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Mohammad: \textitaposteriori error analysis for implicit-explicit \textithp-discontinuous Galerkin timestepping methods for semilinear parabolic problems (2020)
  19. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Younis A.: Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems (2020)
  20. Čapek, Marek: A phase-field method applied to interface tracking for blood clot formation. (2020)

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Further publications can be found at: http://www.dealii.org/developer/index.html