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Keywords:
heat equation; diffusion coefficient; spectral element methods; a priori estimates
heat equation; diffusion coefficient; spectral element methods; a priori estimates
Summary:
We are interested in the discretization of the heat equation with a diffusion coefficient depending on the space and time variables. The discretization relies on a spectral element method with respect to the space variables and Euler's implicit scheme with respect to the time variable. A detailed numerical analysis leads to optimal a priori error estimates.
References:
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