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National Repository of Grey Literature 1 records found  Search took 0.01 seconds. 
Spline-base functions for the soulution of boundary-value problems
 Horčička, Martin ; Dolejší, Vít (advisor) ; Feistauer, Miloslav (referee)
Solving the Poisson equation using finite element method with a basis com- posed of natural cubic splines. In this thesis we introduce the notion of weak derivatives, Sobolev spaces and formulate the weak form of the Poisson equation in order to build up to the finite element method. Furthermore, the thesis contains a construction of a natural cubic spline and a description of the used basis. The computed solution approximates well the exact solution, especially if the right side satisfies certain conditions. 1
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