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 599 articles , 3 standard articles )

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  1. Aggul, Mustafa: A grad-div stabilized penalty projection algorithm for fluid-fluid interaction (2022)
  2. Kim, Seungil: Hybrid absorbing boundary conditions of PML and CRBC (2022)
  3. Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi: The deal. II library, version 9.3 (2021)
  4. Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The \textscdeal.II finite element library: design, features, and insights (2021)
  5. Arndt, Daniel; Kanschat, Guido: A differentiable mapping of mesh cells based on finite elements on quadrilateral and hexahedral meshes (2021)
  6. Balaje Kalyanaraman, Michael H. Meylan, Bishnu P. Lamichhane, Luke G. Bennetts: iceFEM: A FreeFem package for wave induced ice-shelf vibrations (2021) not zbMATH
  7. Baumgarten, Niklas; Wieners, Christian: The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods (2021)
  8. Benjamin Rodenberg, Ishaan Desai, Richard Hertrich, Alexander Jaust, Benjamin Uekermann: FEniCS-preCICE: Coupling FEniCS to other simulation software (2021) not zbMATH
  9. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  10. Bonito, Andrea; Girault, Vivette; Guignard, Diane; Rajagopal, Kumbakonam R.; Süli, Endre: Finite element approximation of steady flows of colloidal solutions (2021)
  11. Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios: DG approach to large bending plate deformations with isometry constraint (2021)
  12. Borregales Reverón, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian: Iterative solvers for Biot model under small and large deformations (2021)
  13. Brown et al.: libCEED: Fast algebra for high-order element-based discretizations (2021) not zbMATH
  14. Bryant, Eric C.; Sun, WaiChing: Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions (2021)
  15. Bünger, Alexandra; Simoncini, Valeria; Stoll, Martin: A low-rank matrix equation method for solving PDE-constrained optimization problems (2021)
  16. Burazin, Krešimir; Crnjac, Ivana; Vrdoljak, Marko: Optimality criteria method in 2D linearized elasticity problems (2021)
  17. Camargo, Julia T.; White, Joshua A.; Borja, Ronaldo I.: A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics (2021)
  18. Dal Maso, Gianni; Heltai, Luca: A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity (2021)
  19. Darian, Hossein Mahmoodi: Investigation of C++ variadic templates for numerical methods and finite difference schemes (2021)
  20. Fei, Fan; Choo, Jinhyun: Double-phase-field formulation for mixed-mode fracture in rocks (2021)

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