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Journal Articles IMA Journal of Numerical Analysis Year : 2019

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

Abstract

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∞-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.

Dates and versions

hal-03126851 , version 1 (01-02-2021)

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Cite

Alexei Lozinski, Olga Gorynina, Marco Picasso. Time and space adaptivity of the wave equation discretized in time by a second-order scheme. IMA Journal of Numerical Analysis, 2019, 39 (4), pp.1672-1705. ⟨10.1093/imanum/dry048⟩. ⟨hal-03126851⟩
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