Features
DUNE Features
The following list gives a short overview over the main features of DUNE and refers you to more detailed documentation.
 Grid Implementation So far seven grid implementations are available through the DUNE grid interface. Each is geared towards a different purpose and thus has a different set of features. Further grid managers can be obtained by downloading additional modules.
So far seven grid implementations are available through the DUNE grid interface. Each is geared towards a different purpose and thus has a different set of features.
 AlbertaGrid: The grid manager of the Alberta toolbox
 ALUConformGrid: [ALUCubeGrid](): [ALUSimplexGrid](), a family of grids in two and three space dimension based on the ALUGrid library.
 GeometryGrid: A metagrid exchanging the host grid’s geometry
 OneDGrid: A sequential locally adaptive grid in one space dimension
 UGGrid: The grid manager of the UG toolbox
YaspGrid: A structured parallel grid in n space dimensions
Linear Algebra DUNE contains ISTL (the Iterative Solver Template Library) for powerful (parallel) linear algebra. The main features are:
 Abstractions for block matrices (e.g. compressed row storage
BCRSMatrix
, block diagonal matricesDiagonalMatrix
and block vectorsBlockVector
, see doxygen documentation)  Block structure arbitrarily nestable
 High performance through generic programming
 Expression templates for BLAS1 routines
 Several standard solvers (Krylov methods and stationary iterative methods)
 Highly scalable parallel algebraic multigrid method available as preconditioner.
 Abstractions for block matrices (e.g. compressed row storage
Quadrature Formulas
 Quadrature rules for all common element types
 Rules for hypercubes up to order 19, for simplices up to order 12
 Easy access
Shape Functions
 Lagrangian shape functions of arbitrary order
 Monomial shape functions of arbitrary order for Discontinous Galerkin methods
 Orthonormal shape functions of arbitrary order
 RaviartThomas shape functions of lowest order for cube and of arbitrary order for simplex elements
Input/Output
 Reading grid files in the gmsh format
 Reading grid files in the grid independent Dune grid format DGF
 Reading simplex grids through DGF constructed using the tools Tetgen and Triangle
 Reading and writing in the AmiraMesh format
 Subsampling of highorder functions
 Write grids and data in the format of the visualization toolkit (vtk)
 Visualization using GRAPE
 Output in Data Explorer format
Discretization Module There are some discretization modules available which provide
 Arbitrary order lagrange spaces for different grid structures
 Discontinuous Galerkin spaces of arbitrary order both with orthonormal and Lagrange basis function
 Further discrete function spaces include RaviartThomas, Nedelec, and others
 Linear and nonlinear solvers
 Time discretization method, e.g., explicit, implicit, and IMEX RungeKutta methods or multistep methods
 Support for parallelization and adaptivity (both h and p refinement)

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