hpGEM

hpGEM - A software framework for discontinuous Galerkin finite element methods. hpGEM, a novel framework for the implementation of discontinuous Galerkin finite element methods (FEMs), is described. We present data structures and methods that are common for many (discontinuous) FEMs and show how we have implemented the components as an object-oriented framework. This framework facilitates and accelerates the implementation of finite element programs, the assessment of algorithms, and their application to real-world problems. The article documents the status of the framework, exemplifies aspects of its philosophy and design, and demonstrates the feasibility of the approach with several application examples.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 11 articles )

Showing results 1 to 11 of 11.
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  1. De La Cruz, Luis M.; Ramos, Eduardo: General template units for the finite volume method in box-shaped domains (2016)
  2. Nurijanyan, S.; van der Vegt, J.J.W.; Bokhove, O.: Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: inertial waves (2013)
  3. Rhebergen, Sander; Cockburn, Bernardo: Space-time hybridizable discontinuous Galerkin method for the advection-diffusion equation on moving and deforming meshes (2013)
  4. Rhebergen, Sander; Cockburn, Bernardo; van der Vegt, Jaap J.W.: A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations (2013)
  5. Rhebergen, Sander; Cockburn, Bernardo: A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains (2012)
  6. Sollie, W.E.H.; Bokhove, O.; van der Vegt, J.J.W.: Space-time discontinuous Galerkin finite element method for two-fluid flows (2011)
  7. Sármány, D.; Izsák, F.; Vegt, J.J.W.Van der: Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations (2010)
  8. Baitsch, Matthias; Hartmann, Dietrich: Piecewise polynomial shape functions for $hp$-finite element methods (2009)
  9. Pesch, L.; van der Vegt, J.J.W.: A discontinuous Galerkin finite element discretization of the Euler equations for compressible and incompressible fluids (2008)
  10. Tassi, P.A.; Rhebergen, S.; Vionnet, C.A.; Bokhove, O.: A discontinuous Galerkin finite element model for river bed evolution under shallow flows (2008)
  11. Pesch, Lars; Bell, Alexander; Sollie, Henk; Ambati, Vijaya R.; Bokhove, Onno; van der Vegt, Jaap J.W.: hpGEM -- a software framework for discontinuous Galerkin finite element methods. (2007)