Discontinuous Galerkin finite element method for parabolic problems
نویسندگان
چکیده
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of IIut(t)llLz(n) = llut112, 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.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 182 شماره
صفحات -
تاریخ انتشار 2006