Expanded mixed finite element methods for the problem of purely longitudinal motion of a homogeneous bar

DOI10.1016/j.cam.2010.10.012zbMath1350.74022OpenAlexW2088716868MaRDI QIDQ629464

Aiqin Li, Ziwen Jiang

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.012

zbMATH Keywords

error estimatesinitial-boundary value problemsexpanded mixed finite element methodspurely longitudinal motion equation of a homogeneous bar

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar, A new positive definite expanded mixed finite element method for parabolic integrodifferential equations

Cites Work

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• On the exponential stability of solutions of \(E(u_ x)u_{xx} + \lambda u_{xtx} = \rho u_{tt}\)
• Expanded mixed finite element methods for linear second-order elliptic problems, I
• Expanded mixed finite element methods for quasilinear second order elliptic problems, II
• Some nonlinear evolution equations of second order
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
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