Cílem této přednášky je seznámit studenty se základy nespojité Galerkinovy metody (DGM) pro eliptické, parabolické a hyperbolické rovnice.

The aim of this lecture is to present the fundamentals of the discontinuous Galerkin method (DGM) for elliptic, parabolic and hyperbolic equations.

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).

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).

Přednášky v posluchárně.

Lectures in a lecture hall.

Zkouška dle sylabu.

Examination according to the syllabus.

nespojitá Galerkinova metoda (DGM),

řešení eliptických, parabolických a hyperbolických úloh pomocí DGM,

a priorní odhady chyb,

numerická implementace

discontinuous Galerkin method (DGM),

solution of elliptic, parabolic and hyperbolic problems by DGM,

a priori error estimates,

numerical implementation

základy metody konečných prvků

basics of finite element methods