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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (12.09.2013)
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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (29.04.2020)
Oral examination according to the sylabus
Solving and sending by email 3 tests ( http://msekce.karlin.mff.cuni.cz/~dolejsi/Vyuka/DGM.html ), possible discussion using zoom |
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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (30.11.2021)
Lecture notes at https://www2.karlin.mff.cuni.cz/~dolejsi/Vyuka/LectureNotes_DGM.pdf
V. Dolejsi, M. Feistauer: Discontinuous Galerkin Method - Analysis and Applications to Compressible Flow, Springer-Verlag, 2015.
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). |
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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (03.05.2018)
knowledge according to syllabus |
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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (13.02.2022)
Discontinuous Galerkin method (DGM).
Solution of elliptic, parabolic and hyperbolic problems by DGM.
A priori error estimates.
Numerical implementation
https://www2.karlin.mff.cuni.cz/~dolejsi/Vyuka/DGM.html |
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Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (03.05.2018)
basic knwledge of finite element methods and weak solution of partial differential equations |