Time and space adaptivity of the wave equation discretized in time by a second-order scheme

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the L-infinity-in-time/energy-in-space norm. Numerical experiments are reported for several test cases and confirm equivalence of the proposed estimator and the true error.


Published in:
IMA Journal of Numerical Analysis, 39, 4, 1672-1705
Year:
Oct 01 2019
ISSN:
0272-4979
1464-3642
Keywords:




 Record created 2019-10-31, last modified 2019-11-01


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