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 263 articles )

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  1. 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)
  2. 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)
  3. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control (2017)
  4. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control (2017)
  5. Bonetti, Elena; Freddi, Francesco; Segatti, Antonio: An existence result for a model of complete damage in elastic materials with reversible evolution (2017)
  6. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  7. Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong: Invariant domains preserving arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements (2017)
  8. Kanschat, Guido; Lazarov, Raytcho; Mao, Youli: Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study (2017)
  9. Knabner, Peter; Rannacher, Rolf: A priori error analysis for the Galerkin finite element semi-discretization of a parabolic system with non-Lipschitzian nonlinearity (2017)
  10. Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas: Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches (2017)
  11. Toulopoulos, Ioannis; Wick, Thomas: Numerical methods for power-law diffusion problems (2017)
  12. Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John: ParMooN - a modernized program package based on mapped finite elements (2017) arXiv
  13. Vidal-Ferràndiz, A.; González-Pintor, S.; Ginestar, D.; Verdú, G.; Demazière, C.: Schwarz type preconditioners for the neutron diffusion equation (2017)
  14. Wick, Thomas: An error-oriented Newton/inexact augmented Lagrangian approach for fully monolithic phase-field fracture propagation (2017)
  15. Adler, J.H.; Emerson, D.B.; MacLachlan, S.P.; Manteuffel, T.A.: Constrained optimization for liquid crystal equilibria (2016)
  16. Arbogast, Todd; Taicher, Abraham L.: A linear degenerate elliptic equation arising from two-phase mixtures (2016)
  17. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems (2016)
  18. Ballani, Jonas; Kressner, Daniel: Reduced basis methods: from low-rank matrices to low-rank tensors (2016)
  19. Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David: The deal.II library, version 8.4 (2016)
  20. Bonito, Andrea; Demlow, Alan: Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters (2016)

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