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Lecturer(s)
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Březina Jan, doc. Mgr. Ph.D.
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Stebel Jan, doc. Mgr. Ph.D.
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Exner Pavel, Ing. Ph.D.
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Course content
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Operators of vector analysis, equation of heat conduction, electrostatics, and elasticity. Classical and variation formulation of the solution. Spaces of smooth and integrable functions. The finite element spaces. Lagrange and Hermite interpolation of functions on simplexes and parallelograms. Numerical integration in FEM. Estimates of discretisation error in norms of Sobolev spaces. Algorithms for construction of state matrix.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Class attendance
- 56 hours per semester
- Preparation for credit
- 20 hours per semester
- Preparation for exam
- 35 hours per semester
- Home preparation for classes
- 15 hours per semester
- Preparation for formative assessments
- 25 hours per semester
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Learning outcomes
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The course introduces the finite element method for the solution of stationary and evolutionary partial differential equations. It includes also necessary introduction to functional analysis and examples of physical problems leading to partial differential equations.
Students acquire basic knowledge of finite element method and fundaments of functionsl analysis. They will be able to derive the weak solution and assemble the systém matrix for various physical problems.
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Prerequisites
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Unspecified
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Assessment methods and criteria
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Combined examination
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Recommended literature
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Axelsson, O., Barker, V.A. Element Solution of Boundary Value Problems. Academic Press, INC., London, 1984.
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Ciarlet, P.G.:. The finite element method for elliptic problems. 1978.
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Haslinger, J.:. Řešení variačních rovnic a nerovnic, skriptum.. MF UK, Praha, 1983.
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Zienkiewicz O. et al. The Finite Element Method: Its Basis and Fundamentals, Butterworth- Heic nemann, 2005, New York.
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