Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients

DOI10.1016/j.camwa.2014.08.019zbMath1367.65138OpenAlexW1981948296MaRDI QIDQ2363829

R. D. Aloev, Sh. O. Davlatov, Nik Mohd Asri Nik Long, Zainidin K. Eshkuvatov

Publication date: 26 July 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.08.019

zbMATH Keywords

stabilityfinite element methoddifference schememixed problemhyperbolic system

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

A discrete analogue of the Lyapunov function for hyperbolic systems ⋮ Stability of the upwind difference splitting scheme for symmetric t-hyperbolic systems with constant coefficients ⋮ Implicit upwind difference scheme for a symmetric \(t\)-hyperbolic system with variable coefficients and lowest terms ⋮ An algebraic condition for the exponential stability of an upwind difference scheme for hyperbolic systems ⋮ Construction and research of adequate computational models for quasilinear hyperbolic systems

Uses Software

• Delphi

Cites Work

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• Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
• A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables
• Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem
• Finite element approximation of the hyperbolic wave equation in mixed form
• Explicit Finite Element Methods for Symmetric Hyperbolic Equations

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