NASA Technical Reports Server (NTRS) : Discontinuous pdf

NASA Technical Reports Server (NTRS) : Discontinuous

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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

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 1/1/2004
• Year: 2004
• Book Topics/Themes: NASA Technical Reports Server (NTRS), FINITE ELEMENT METHOD, GALERKIN METHOD, DISCONTINUITY, PARABOLIC DIFFERENTIAL EQUATIONS, MATHEMATICAL MODELS, PROBLEM SOLVING, ALGORITHMS, DISCRETIZATION (MATHEMATICS), FUNCTIONS (MATHEMATICS), CONVERGENCE, APPROXIMATION, Kaneko, Hideaki, Bey, Kim S., Hou, Gene J. W

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