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• W2913797839 abstract "We consider the time dependent Darcy problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations on the meridian domain. We propose a discretization of these equations in the case of general solution. This discretization relies on a backward Euler’s scheme for the time variable and finite elements for the space variables. We prove a posteriori error estimates that allow for an efficient adaptivity strategy both for the time steps and the meshes. Computations for an example with a known solution are presented which support the a posteriori error estimate." @default.
• W2913797839 created "2019-02-21" @default.
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• W2913797839 date "2019-05-01" @default.
• W2913797839 modified "2023-09-27" @default.
• W2913797839 title "A posteriori error estimates of finite element method for the time-dependent Darcy problem in an axisymmetric domain" @default.
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• W2913797839 doi "https://doi.org/10.1016/j.camwa.2019.01.016" @default.
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