dgcgwave: Discontinuous Galerkin Finite Element Approximation of Linear Viscodynamic Solids
Viscoelastic solids are modelled by partial differential equations that exhibit memory through a Volterra, or 'hereditary', integral. This collection contains some efforts related to the numerical simulation of such materials using a discontinuous piecewise linear Galerkin finite element approximation in time, and a continuous linear Galerkin finite element approximation in space.
A FEniCS code is supplied, together with a bash script that will run this code to reproduce the published results in the following paper: S. Shaw. An a priori error estimate for a temporally discontinuous Galerkin space-time finite element method for linear elasto- and visco-dynamics Computer Methods in Applied Mechanics and Engineering, Volume 351, 1 July 2019, Pages 1-19. https://www.sciencedirect.com/science/article/pii/S0045782519301549
The preprint version of that paper is included here alongside report.pdf, an extended report with additional results. The code can be run inside a Docker container or in an Anaconda environment (use anaconda.zip or anaconda.tgz). The file called usage.pdf explain how to use these materials.
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Shaw, Simon (2019): dgcgwave: Discontinuous Galerkin Finite Element Approximation of Linear Viscodynamic Solids. Brunel University London. Collection. https://doi.org/10.17633/rd.brunel.c.4503650.v1