An Easily Computable Error Estimator In Space And Time For The Wave Equation

We propose a cheaper version of a posteriori error estimator from Gorynina et al. (Namer. Anal. (2017)) for the linear second-order wave equation discretized by the Newmark scheme in time and by the finite element method in space. The new estimator preserves all the properties of the previous one (reliability, optimality on smooth solutions and quasi-uniform meshes) but no longer requires an extra computation of the Laplacian of the discrete solution on each time step.


Published in:
Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 53, 3, 729-747
Year:
Jun 05 2019
Publisher:
Les Ulis Cedex A, EDP SCIENCES S A
ISSN:
0764-583X
1290-3841
Keywords:
Laboratories:




 Record created 2019-06-27, last modified 2019-08-30


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