Analysis of the problem of harmonic waves in elastic bodies and its \(h\)-adaptive finite-element approximation

DOI10.1007/s10958-023-06332-1OpenAlexW4323850434MaRDI QIDQ2696659

H. A. Kvasnytsia, H. A. Shynkarenko

Publication date: 17 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06332-1

zbMATH Keywords

variational problemsaddle pointharmonic wavesviscoelastic body\(h\)-adaptive scheme of finite-element method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• A posteriori error estimators of finite-element approximations for problems of forced harmonic vibrations of piezoelectrics
• Direct Methods in the Theory of Elliptic Equations
• Vibration Damping, Control, and Design
• Introduction to Finite Element Vibration Analysis
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