hpGEM---A software framework for discontinuous Galerkin finite element methods

Authors:
Lars Pesch;Alexander Bell;Henk Sollie;Vijaya R. Ambati;Onno Bokhove;Jaap J. W. Van Der Vegt
Affiliations:
University of Twente, The Netherlands;University of Twente, The Netherlands;University of Twente, The Netherlands;University of Twente, The Netherlands;University of Twente, The Netherlands;University of Twente, The Netherlands
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2007

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Abstract

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.