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- W2083091153 abstract "The aim of this paper is to investigate the stability of time integration schemes for the solution of a finite element semi-discretization of a scalar convection–diffusion equation defined on a moving domain. An arbitrary Lagrangian–Eulerian formulation is used to reformulate the governing equation with respect to a moving reference frame. We devise an adaptive θ-method time integrator that is shown to be unconditionally stable and asymptotically second-order accurate for smoothly evolving meshes. An essential feature of the method is that it satisfies a discrete equivalent of the well-known geometric conservation law. Numerical experiments are presented to confirm the findings of the analysis." @default.
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- W2083091153 date "2011-09-19" @default.
- W2083091153 modified "2023-09-23" @default.
- W2083091153 title "An unconditionally stable second-order accurate ALE-FEM scheme for two-dimensional convection-diffusion problems" @default.
- W2083091153 doi "https://doi.org/10.1093/imanum/drr021" @default.
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