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 336 articles , 1 standard article )

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  1. Aulisa, Eugenio; Capodaglio, Giacomo; Ke, Guoyi: Construction of H-refined continuous finite element spaces with arbitrary hanging node configurations and applications to multigrid algorithms (2019)
  2. Bonetti, Elena; Cavaterra, Cecilia; Freddi, Francesco; Grasselli, Maurizio; Natalini, Roberto: A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results (2019)
  3. Miguel A.Rodriguez; Christoph M. Augustin; Shawn C.Shadden: FEniCS mechanics: A package for continuum mechanics simulations (2019) not zbMATH
  4. S.Schoeder; W.A.Wall; M.Kronbichler: ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation (2019) not zbMATH
  5. Alberto Sartori; Nicola Giuliani; Mauro Bardelloni; Luca Heltai: deal2lkit: A toolkit library for high performance programming in deal.II (2018) not zbMATH
  6. Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The deal.II library, version 9.0 (2018)
  7. Araujo-Cabarcas, Juan Carlos; Engström, Christian; Jarlebring, Elias: Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map (2018)
  8. Axelsson, Owe; Neytcheva, Maya; Ström, Anders: An efficient preconditioning method for state box-constrained optimal control problems (2018)
  9. Badia, Santiago; Martín, Alberto F.; Principe, Javier: FEMPAR: an object-oriented parallel finite element framework (2018)
  10. Badri, M. A.; Jolivet, P.; Rousseau, B.; Favennec, Y.: High performance computation of radiative transfer equation using the finite element method (2018)
  11. Bonito, Andrea; Demlow, Alan; Owen, Justin: A priori error estimates for finite element approximations to eigenvalues and eigenfunctions of the Laplace-Beltrami operator (2018)
  12. Brauss, K. D.; Meir, A. J.: On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation (2018)
  13. Cangiani, A.; Georgoulis, E. H.; Morozov, A. Yu.; Sutton, O. J.: Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework (2018)
  14. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Younis A.: Adaptive discontinuous Galerkin methods for elliptic interface problems (2018)
  15. Carraro, Thomas; Dörsam, Simon; Frei, Stefan; Schwarz, Daniel: An adaptive Newton algorithm for optimal control problems with application to optimal electrode design (2018)
  16. Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.: Comparative study of finite element methods using the time-accuracy-size(TAS) spectrum analysis (2018)
  17. 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)
  18. 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)
  19. Failer, Lukas; Wick, Thomas: Adaptive time-step control for nonlinear fluid-structure interaction (2018)
  20. Freddi, Francesco; Sacco, Elio; Serpieri, Roberto: An enriched damage-frictional cohesive-zone model incorporating stress multi-axiality (2018)

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