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 575 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. Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian: Iterative solvers for Biot model under small and large deformations (2021)
  6. Brown et al.: libCEED: Fast algebra for high-order element-based discretizations (2021) not zbMATH
  7. Bryant, Eric C.; Sun, WaiChing: Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions (2021)
  8. Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko: Optimality criteria method in 2D linearized elasticity problems (2021)
  9. Camargo, Julia T.; White, Joshua A.; Borja, Ronaldo I.: A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics (2021)
  10. Dal Maso, Gianni; Heltai, Luca: A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity (2021)
  11. Darian, Hossein Mahmoodi: Investigation of C++ variadic templates for numerical methods and finite difference schemes (2021)
  12. Fei, Fan; Choo, Jinhyun: Double-phase-field formulation for mixed-mode fracture in rocks (2021)
  13. Hochbruck, Marlis; Leibold, Jan: An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions (2021)
  14. Kamal Asok, Harshin: Interface adapted LBB-stable finite elements on fluid structure interaction problems in fully Eulerian framework (2021)
  15. 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)
  16. 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)
  17. Metcalfe, Stephen; Nadarajah, Siva: A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation (2021)
  18. Mulita, Ornela; Giani, Stefano; Heltai, Luca: Quasi-optimal mesh sequence construction through smoothed adaptive finite element methods (2021)
  19. Stark, Sebastian: On a certain class of one step temporal integration methods for standard dissipative continua (2021)
  20. Stefan Frei, Thomas Richter, Thomas Wick: LocModFE: Locally modified finite elements for approximating interface problems in deal.II (2021) not zbMATH

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