Strong Convergence of Discrete DG Solutions of the Heat Equation

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2015-10
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A convergence analysis to the weak solution is derived for interior penalty discontinuous Galerkin methods applied to the heat equation in two and three dimensions under general mixed boundary conditions. Strong convergence is established in the DG norm, as well as in the Lp norm, in space and in the L2 norm in time.

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Technical report
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Girault, Vivette, Li, Jizhou and Riviere, Beatrice. "Strong Convergence of Discrete DG Solutions of the Heat Equation." (2015) https://hdl.handle.net/1911/102236.

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