The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar
DOI10.1155/2012/475801zbMath1325.74158OpenAlexW2124365738WikidataQ58695278 ScholiaQ58695278MaRDI QIDQ1938208
Publication date: 4 February 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/475801
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- Expanded mixed finite element methods for the problem of purely longitudinal motion of a homogeneous bar
- Mortar upwind finite volume element method for convection diffusion problems
- A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems
- On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
- On the exponential stability of solutions of \(E(u_ x)u_{xx} + \lambda u_{xtx} = \rho u_{tt}\)
- On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
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