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 515 articles , 2 standard articles )

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  1. Arora, Rajat; Zhang, Xiaohan; Acharya, Amit: Finite element approximation of finite deformation dislocation mechanics (2020)
  2. Bause, M.; Köcher, U.; Radu, F. A.; Schieweck, F.: Post-processed Galerkin approximation of improved order for wave equations (2020)
  3. Bui, Quan M.; Osei-Kuffuor, Daniel; Castelletto, Nicola; White, Joshua A.: A scalable multigrid reduction framework for multiphase poromechanics of heterogeneous media (2020)
  4. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Mohammad: \textitaposteriori error analysis for implicit-explicit \textithp-discontinuous Galerkin timestepping methods for semilinear parabolic problems (2020)
  5. Cangiani, Andrea; Georgoulis, Emmanuil H.; Sabawi, Younis A.: Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems (2020)
  6. Choi, Woocheol; Lee, Sanghyun: Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods (2020)
  7. Evans, Claire; Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying: A proof that Anderson acceleration improves the convergence rate in linearly converging fixed-point methods (but not in those converging quadratically) (2020)
  8. Gedicke, Joscha; Khan, Arbaz: Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems (2020)
  9. Kaczmarczyk, Łukasz; Ullah, Zahur; Lewandowski, Karol; Meng, Xuan; Zhou, Xiao-Yi; Athanasiadis, Ignatios; Nguyen, Hoang; Chalons-Mouriesse, Christophe-Alexandre; Richardson, Euan J.; Miur, Euan; Shvarts, Andrei G.; Wakeni, Mebratu; Pearce, Chris J.: MoFEM: An open source, parallel nite element library (2020) not zbMATH
  10. Kazemi, Hesaneh; Vaziri, Ashkan; Norato, Julián A.: Multi-material topology optimization of lattice structures using geometry projection (2020)
  11. Khan, Arbaz; Kanschat, Guido: A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation (2020)
  12. Kim, Jaekwang; Park, Jun Dong: The non-homogeneous flow of a thixotropic fluid around a sphere (2020)
  13. Kim, Seungil: Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides (2020)
  14. Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian: An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters (2020)
  15. Moxey, David; Amici, Roman; Kirby, Mike: Efficient matrix-free high-order finite element evaluation for simplicial elements (2020)
  16. Noii, Nima; Aldakheel, Fadi; Wick, Thomas; Wriggers, Peter: An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture (2020)
  17. Rabizadeh, Ehsan; Bagherzadeh, Amir Saboor; Anitescu, Cosmin; Alajlan, Naif; Rabczuk, Timon: Pointwise dual weighted residual based goal-oriented \textitaposteriori error estimation and adaptive mesh refinement in 2D/3D thermo-mechanical multifield problems (2020)
  18. Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla: High-order cut finite elements for the elastic wave equation (2020)
  19. Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun: IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media (2020)
  20. Wihler, Thomas P.; Wirz, Marcel: Stability and convergence of spectral mixed discontinuous Galerkin methods for 3D linear elasticity on anisotropic geometric meshes (2020)

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