Discontinuous Galerkin finite element method for parabolic problems
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摘要
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of ‖ut(t)‖L2(Ω)=‖ut‖2, for the discontinuous Galerkin finite element method for one-dimensional parabolic problems. Optimal convergence rates in both time and spatial variables are obtained. A discussion of automatic time-step control method is also included.
论文关键词:Discontinuous Galerkin method,Parabolic equations
论文评审过程:Available online 16 May 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.02.056