A Discontinuous Galerkin Method Applied to Nonlinear Parabolic Equations
نویسنده
چکیده
Semi-discrete and a family of discrete time locally conservative Dis-continuous Galerkin procedures are formulated for approximations to nonlinear parabolic equations. For the continuous time approximations a priori L 1 (L 2) and L 2 (H 1) estimates are derived and similarly, l 1 (L 2) and l 2 (H 1) for the discrete time schemes. Spatial rates in H 1 and time truncation errors in L 2 are optimal.
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