National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Isogeometric Analysis and Applications in Continuum Mechanics
Ladecký, Martin ; Vořechovský, Miroslav (referee) ; Rozehnalová, Petra (advisor)
Thesis deals with solving the problems of continuum mechanics by method of Isogeometric analysis. This relatively young method combines the advantages of precise NURBS geometry and robustness of the classical finite element method. The method is described on procedure of solving a plane Poissons boundary value problem. Solver is implemented in MatLab and algorithms are attached to the text.
Isogeometric Analysis and Applications in Continuum Mechanics
Ladecký, Martin ; Vořechovský, Miroslav (referee) ; Rozehnalová, Petra (advisor)
Thesis deals with solving the problems of continuum mechanics by method of Isogeometric analysis. This relatively young method combines the advantages of precise NURBS geometry and robustness of the classical finite element method. The method is described on procedure of solving a plane Poissons boundary value problem. Solver is implemented in MatLab and algorithms are attached to the text.
Numerical solution of the shallow water equations
Šerý, David ; Dolejší, Vít (advisor) ; Felcman, Jiří (referee)
The thesis deals with the numerical solution of partial differential equati- ons describing the flow of the so-called shallow water neglecting the flow in the vertical direction. These equations are of hyperbolical type of the first or- der with a reactive term representing the bottom topology. We discretize the resulting system of equations by the implicit space-time discontinuous Ga- lerkin method (STDGM). In the literature, the explicit techniques are used most of the time. The implicit approach is suitable especially for adaptive methods, because it allows the usage of different meshes for different time niveaus. In the thesis we derive the corresponding method and an adaptive algorithm. Finally, we present usage of the method in several examples. 1

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