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 327 articles , 1 standard article )

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  1. Alberto Sartori; Nicola Giuliani; Mauro Bardelloni; Luca Heltai: deal2lkit: A toolkit library for high performance programming in deal.II (2018)
  2. Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias: Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map (2018)
  3. Badia, Santiago; Martín, Alberto F.; Principe, Javier: FEMPAR: an object-oriented parallel finite element framework (2018)
  4. Badri, M. A.; Jolivet, P.; Rousseau, B.; Favennec, Y.: High performance computation of radiative transfer equation using the finite element method (2018)
  5. Bonito, Andrea; Demlow, Alan; Owen, Justin: A priori error estimates for finite element approximations to eigenvalues and eigenfunctions of the Laplace-Beltrami operator (2018)
  6. Brauss, K. D.; Meir, A. J.: On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation (2018)
  7. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Younis A.: Adaptive discontinuous Galerkin methods for elliptic interface problems (2018)
  8. Carraro, Thomas; Dörsam, Simon; Frei, Stefan; Schwarz, Daniel: An adaptive Newton algorithm for optimal control problems with application to optimal electrode design (2018)
  9. Cheng, Jian; Yue, Huiqiang; Yu, Shengjiao; Liu, Tiegang: Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations (2018)
  10. Di Ilio, Giovanni; Dorschner, B.; Bella, G.; Succi, S.; Karlin, I. V.: Simulation of turbulent flows with the entropic multirelaxation time lattice Boltzmann method on body-fitted meshes (2018)
  11. Freddi, Francesco; Sacco, Elio; Serpieri, Roberto: An enriched damage-frictional cohesive-zone model incorporating stress multi-axiality (2018)
  12. Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio: Second-order invariant domain preserving approximation of the Euler equations using convex limiting (2018)
  13. Houston, Paul; Sime, Nathan: Automatic symbolic computation for discontinuous Galerkin finite element methods (2018)
  14. Neitzel, I.; Wollner, W.: A priori $L^2$-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints (2018)
  15. Papoutsakis, Andreas; Sazhin, Sergei S.; Begg, Steven; Danaila, Ionut; Luddens, Francky: An efficient adaptive mesh refinement (AMR) algorithm for the discontinuous Galerkin method: applications for the computation of compressible two-phase flows (2018)
  16. Safin, Artur; Minkoff, Susan; Zweck, John: A preconditioned finite element solution of the coupled pressure-temperature equations used to model trace gas sensors (2018)
  17. Walker, Shawn W.: FELICITY: a Matlab/C++ toolbox for developing finite element methods and simulation modeling (2018)
  18. Adler, J. H.; Emerson, D. B.; Farrell, P. E.; MacLachlan, S. P.: Combining deflation and nested iteration for computing multiple solutions of nonlinear variational problems (2017)
  19. Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L.: Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity (2017)
  20. Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The deal.II library, version 8.5 (2017)

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