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 419 articles , 1 standard article )

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  1. Aggul, Mustafa; Kaya, Songul; Labovsky, Alexander E.: Two approaches to creating a turbulence model with increased temporal accuracy (2019)
  2. Arbogast, Todd; Tao, Zhen: A direct mixed-enriched Galerkin method on quadrilaterals for two-phase Darcy flow (2019)
  3. 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)
  4. Bonetti, Elena; Cavaterra, Cecilia; Freddi, Francesco; Grasselli, Maurizio; Natalini, Roberto: A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results (2019)
  5. Bonito, Andrea; Demlow, Alan: A posteriori error estimates for the Laplace-Beltrami operator on parametric (C^2) surfaces (2019)
  6. Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E.: Numerical approximation of the integral fractional Laplacian (2019)
  7. Burstedde, Carsten; Holke, Johannes; Isaac, Tobin: On the number of face-connected components of Morton-type space-filling curves (2019)
  8. Cerveny, Jakub; Dobrev, Veselin; Kolev, Tzanio: Nonconforming mesh refinement for high-order finite elements (2019)
  9. Chandrashekar, Praveen: A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint (2019)
  10. Charnyi, Sergey; Heister, Timo; Olshanskii, Maxim A.; Rebholz, Leo G.: Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations (2019)
  11. Deolmi, G.; Müller, S.; Albers, M.; Meysonnat, P. S.; Schröder, W.: A reduced order model to simulate compressible flows over an actuated riblet surface (2019)
  12. Gillette, Andrew; Kloefkorn, Tyler; Sanders, Victoria: Computational serendipity and tensor product finite element differential forms (2019)
  13. Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong: Arbitrary Lagrangian-Eulerian finite element method preserving convex invariants of hyperbolic systems (2019)
  14. Hagstrom, Thomas; Kim, Seungil: Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides (2019)
  15. Hao, Wenrui; Yang, Yong: Convergence of a homotopy finite element method for computing steady states of Burgers’ equation (2019)
  16. Liu, Chenchen; Reina, Celia: Dynamic homogenization of resonant elastic metamaterials with space/time modulation (2019)
  17. Mehnert, Markus; Hossain, Mokarram; Steinmann, Paul: Experimental and numerical investigations of the electro-viscoelastic behavior of VHB 4905(^\textTM) (2019)
  18. Miguel A.Rodriguez; Christoph M. Augustin; Shawn C.Shadden: FEniCS mechanics: A package for continuum mechanics simulations (2019) not zbMATH
  19. Mikelić, A.; Wheeler, M. F.; Wick, T.: Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium (2019)
  20. Neitzel, Ira; Wick, Thomas; Wollner, Winnifried: An optimal control problem governed by a regularized phase-field fracture propagation model. II: The regularization limit (2019)

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