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Last update: Pátková Vlasta (09.01.2018)
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Last update: Pátková Vlasta (09.01.2018)
Students will get acquainted with mathematical principles of methods that continuously approximate the solution of partial differential equations, in particular they will study the method of weighted residuals and the Finite Element Method.
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Last update: Pátková Vlasta (09.01.2018)
R: Kubíček Milan, Dubcová Miroslava, Janovská Drahoslava: Numerické metody a algoritmy, VŠCHT Praha, 2005 (druhé vydání).
A: Suli Endre: Lecture notes of Finite Element Method for Partial Differential Equations, http://people.maths.ox.ac.uk/suli/fem.pdf |
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Last update: Pátková Vlasta (09.01.2018)
http://www.vscht.cz/mat/MAM/FEM_UM.pdf http://www.vscht.cz/mat/Ang/NM-Ang/e_nm_semin.html Suli Endre: Lecture notes of Finite Element Method for Partial Differential Equations, http://people.maths.ox.ac.uk/suli/fem.pdf |
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Last update: Pátková Vlasta (09.01.2018)
Lectures and seminars, each student solves 3 small project and presents them in seminars.
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Last update: Pátková Vlasta (09.01.2018)
1. The method of weighted residuals. 2. Introduction to the Finite Element Method. 3. Short introduction to the Functional Analysis 4. Sobolev Spaces 5. Variational formulation of the boundary problems. 6. A simple one dimensional example. 7. Element point of wiev. 8. Global stiffness and mass matrix. 9. Selected methods of the Numerical Linear Algebra. 10. Variational formulation of the boundary problems in two and three dimensions. 11. Numerical realization. 12. Different types of elements. 13. The finite element method for three dimensional problems. 14. Numerical solution of systems of linear algebraic equations.
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Last update: Borská Lucie RNDr. Ph.D. (13.05.2019)
Students are expected to have either completed the prerequisite courses Mathematics A and Mathematics B or possess the equivalent knowledge prior to enrolling in the course. |
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Last update: Borská Lucie RNDr. Ph.D. (06.05.2019)
No requirements. |
Teaching methods | ||||
Activity | Credits | Hours | ||
Účast na přednáškách | 1 | 28 | ||
Práce na individuálním projektu | 1 | 28 | ||
Příprava na zkoušku a její absolvování | 1.5 | 42 | ||
Účast na seminářích | 0.5 | 14 | ||
4 / 4 | 112 / 112 |