A Finite Element Reduced-Dimension Method for Viscoelastic Wave Equation

Zhendong Luo ()
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Zhendong Luo: School of Digitalized Intelligence Engineering, Hunan Sany Polytechnic College, Changsha 410129, China

Mathematics, 2022, vol. 10, issue 17, 1-12

Abstract: In this study, we mainly employ a proper orthogonal decomposition (POD) to lower the dimension for the unknown Crank–Nicolson finite element (FE) (CNFE) solution coefficient vectors of the viscoelastic wave (VW) equation so as to build a reduced-dimension recursive CNFE (RDRCNFE) algorithm, adopt matrix analysis to analyze the stability together with errors to the RDRCNFE solutions, and utilize some numerical experimentations to verify the effectiveness of the RDRCNFE algorithm.

Keywords: proper orthogonal decomposition; viscoelastic wave equation; reduced-dimension recursive Crank–Nicolson finite element algorithm; stability and error estimation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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