Gorynina, OlgaLozinski, AlexeiPicasso, Marco2019-10-312019-10-312019-10-312019-10-0110.1093/imanum/dry048https://infoscience.epfl.ch/handle/20.500.14299/162521WOS:000491253300003The 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.Mathematics, AppliedMathematicsa posteriori error bounds in time and spacewave equationnewmark schemeanisotropic error estimatorfinite-element methodscrank-nicolson methodTime and space adaptivity of the wave equation discretized in time by a second-order schemetext::journal::journal article::research article