Journal
FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-METHODS AND THEORETICAL ASPECTS, FVCA 8
Volume 199, Issue -, Pages 457-466Publisher
SPRINGER
DOI: 10.1007/978-3-319-57397-7_39
Keywords
A posteriori error analysis; Dual weighted residuals; Elastodynamics; Discontinuous Galerkin
Funding
- EPSRC [EP/P000835/1]
- Baden-Wurttemberg fundation for the project Numerical Methods for Multi-Phase Flows with Strongly Varying Mach Numbers
- EPSRC [EP/P000835/1] Funding Source: UKRI
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In this note we propose a discontinuous Galerkin in space, continuous Galerkin in time method for a problem arising in elastodynamics with phase transition. We make use of a dispersion operator from (Bona et al., Math. Comput. 82(283), 1401-1432, 2013) [3] allowing us to construct a consistent scheme. We derive goal-oriented a posteriori error estimators for this scheme based on dual weighted residuals. We conclude by summarising extensive numerical experiments.
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