An Easily Computable Error Estimator In Space And Time For The Wave Equation
Gorynina, O.; Lozinski, A.; Picasso, M.
2019

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Abstract

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.

Details

Title An Easily Computable Error Estimator In Space And Time For The Wave Equation
Author(s) Gorynina, O. ; Lozinski, A. ; Picasso, M.
Published in ESAIM: Mathematical Modelling and Numerical Analysis
Volume 53
Issue 3
Pages 729-747
Date 2019-06-05
Publisher Les Ulis Cedex A, EDP Sciences
ISSN 0764-583X
Keywords
Note This article is licensed under a Creative Commons Attribution 4.0 International License
DOI https://doi.org/10.1051/m2an/2018049
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Laboratories GEOLEP
ASN
Record Appears in Scientific production and competences > ENAC - School of Architecture, Civil and Environmental Engineering > ENAC Archives > GEOLEP - Engineering and Environmental Geology Laboratory
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > ASN - Chair of Numerical Analysis and Simulation
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2019-06-27

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