dune-udg

dune-udg

Allows for an easy implementation of Unfitted Discontinuous Galerkin methods on cut-cell grids.

Requires:
dune-common dune-grid dune-istl dune-tpmc dune-pdelab dune-functions
Maintainer: Christian Engwer

The dune-udg module allows for an easy implementation of Unfitted Discontinuous Galerkin methods on cut-cell grids.

It offers integration with dune-pdelab.

Applications

An unfitted dG cut-cell discretization of laminar flow at the pore-scale.

It has been used to solve

  • elliptic and parabolic PDEs using the UDG method
  • elliptic PDEs using ghost-penalty stabilized CutFEM
  • UDG for surface PDEs, using similar concepts as Trace-FEM
  • linear hyperbolic conservation law using a stabilized Cut-DG method

Download

  • Version compatible with Dune 2.6 [tar.gz,zip]

Publications and Documentation

The UDG method is published in

P. Bastian, C. Engwer. An unfitted finite element method using discontinuous Galerkin. International Journal for Numerical Methods in Engineering, 79(12), 2009 , 1557-1576

(doi:10.1002/nme.2631)

  • Ch. Engwer, An Unfitted Discontinuous Galerkin Scheme for Micro-scale Simulations and Numerical Upscaling, Heidelberg University, 2009. (PDF)

An older implementation of dune-udg is described in

C. Engwer, F. Heimann. Dune-UDG: A Cut-Cell Framework for Unfitted Discontinuous Galerkin Methods. Advances in DUNE, , 2012 , 89-100

(doi:10.1007/978-3-642-28589-9_7)

Maintainers

dune-udg is developed and maintained by the team of Christian Engwer.

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