NASA NTRS · 20040073487
Discontinuous Galerkin Finite Element Method for Parabolic Problems
Abstract
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of parallel ut(t) parallel Lz(omega) = parallel ut parallel2, 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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Kaneko, Hideaki, Bey, Kim S., Hou, Gene J. W.. 2004-01-01. Discontinuous Galerkin Finite Element Method for Parabolic Problems. https://ntrs.nasa.gov/citations/20040073487
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