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 230 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. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control (2017)
  3. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control (2017)
  4. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  5. Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya: Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems (2016)
  6. Ballani, Jonas; Kressner, Daniel: Reduced basis methods: from low-rank matrices to low-rank tensors (2016)
  7. 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)
  8. Bonito, Andrea; Demlow, Alan: Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters (2016)
  9. Burstedde, Carsten; Holke, Johannes: A tetrahedral space-filling curve for nonconforming adaptive meshes (2016)
  10. Cangiani, Andrea; Georgoulis, Emmanuil H.; Kyza, Irene; Metcalfe, Stephen: Adaptivity and blow-up detection for nonlinear evolution problems (2016)
  11. Carraro, Thomas; Friedmann, Elfriede; Gerecht, Daniel: Coupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling (2016)
  12. Feng, Xinzeng; Hui, Chung-Yuen: Force sensing using 3D displacement measurements in linear elastic bodies (2016)
  13. Frei, S.; Richter, T.; Wick, T.: Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates (2016)
  14. Gholami, Amir; Malhotra, Dhairya; Sundar, Hari; Biros, George: FFT, FMM, or multigrid? A comparative study of state-of-the-art Poisson solvers for uniform and nonuniform grids in the unit cube (2016)
  15. Homolya, M.; Ham, D.A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  16. Milk, René; Rave, Stephan; Schindler, Felix: PyMOR -- generic algorithms and interfaces for model order reduction (2016)
  17. Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio: The equations of ferrohydrodynamics: modeling and numerical methods (2016)
  18. Stoll, Martin; Pearson, John W.; Maini, Philip K.: Fast solvers for optimal control problems from pattern formation (2016)
  19. Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick: Optimal control of a free boundary problem with surface tension effects: a priori error analysis (2015)
  20. Bause, Markus; Köcher, Uwe: Variational time discretization for mixed finite element approximations of nonstationary diffusion problems (2015)

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