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The goal of this lecture is to present the base of the discontinuous Galerkin method (DGM) which exhibits an efficient tool for the solution of partial differential equations. We present a use of DGM for elliptic, parabolic and hyperbolic equations, namely the discretization, numerical analysis and some aspects of a numerical implementation.
Last update: DOLEJSI/MFF.CUNI.CZ (15.04.2008)
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The aim of this lecture is to present the fundamentals of the discontinuous Galerkin method (DGM) for elliptic, parabolic and hyperbolic equations. Last update: T_KNM (19.05.2008)
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Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L.Donatella: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39, No.5, 1749-1779 (2002).
Cockburn, Bernardo: An introduction to the discontinuous Galerkin method for convection-dominated problems. Quarteroni, Alfio (ed.) et al., Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23--28, 1997. Berlin: Springer. Lect. Notes Math. 1697, 151-268 (1998). Last update: T_KNM (19.05.2008)
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Lectures in a lecture hall. Last update: T_KNM (19.05.2008)
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Examination according to the syllabus. Last update: T_KNM (19.05.2008)
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discontinuous Galerkin method (DGM), solution of elliptic, parabolic and hyperbolic problems by DGM, a priori error estimates, numerical implementation Last update: T_KNM (19.05.2008)
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basics of finite element methods Last update: T_KNM (19.05.2008)
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