Abstract
Semi-discrete and a family of discrete time locally conservative Discontinuous Galerkin procedures are formulated for approximations to nonlinear parabolic equations. For the continuous time approximations a priori L ∞(L 2) and L 2(H l) estimates are derived and similarly, l ∞ (L 2) and l 2 (H 1) for the discrete time schemes. Spatial rates in H l and time truncation errors in L 2 are optimal.
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© 2000 Springer-Verlag Berlin Heidelberg
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Rivière, B., Wheeler, M.F. (2000). A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_17
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DOI: https://doi.org/10.1007/978-3-642-59721-3_17
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