A generalized finite element method for the strongly damped wave equation with rapidly varying data
نویسندگان
چکیده
We propose a generalized finite element method for the strongly damped wave equation with highly varying coefficients. The proposed is based on localized orthogonal decomposition introduced in Målqvist and Peterseim [ Math. Comp. 83 (2014) 2583–2603], designed to handle independent variations both damping propagation speed respectively. does so by automatically correcting transient phase steady state phase. Convergence of optimal order proven L 2 (H 1 )-norm, derivatives present numerical examples that confirm theoretical findings.
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ژورنال
عنوان ژورنال: Mathematical Modelling and Numerical Analysis
سال: 2021
ISSN: ['0764-583X', '1290-3841']
DOI: https://doi.org/10.1051/m2an/2021023