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Last update: SEGETH (29.04.2006)
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Last update: VEJCHOD/MFF.CUNI.CZ (03.04.2008)
Students will learn the techniques used to prove the existence and uniqueness of the nonlinear partial differential equations and they will learn how to solve them by the finite element method. |
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Last update: T_KNM (17.05.2008)
Selberherr S.: Analysis and Simulation of Semiconductor Devices. Wien, Springer Verlag, l984.
Markowich P.A.: The Stationary Semiconductor Equations. Wien, Springer Verlag, l986.
Křížek M., Neittaanmaki P.: Finite Element Approximation of Variational Problems and Applications. Harlow, Longman, l990.
Křížek M., Segeth K.: Numerické modelování problémů elektrotechniky. Praha, Karolinum, 2001. |
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Last update: T_KNM (17.05.2008)
Lectures in a lecture hall. |
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Last update: T_KNM (17.05.2008)
Examination according to the syllabus. |
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Last update: T_KNM (17.05.2008)
Use of various mathematical tools (e.g. Banach spaces, weak convergence, monotone operators) for the numerical solution of particular nonlinear problems from engineering practice is presented.
The approximation of models of heat radiation, distribution of electric, magnetic, and temperature fields in rotating electric machines, transformers, etc. by the finite element method is derived. The questions of existence and uniqueness of the solution of the continuous as well as discretized problem and those of convergence and algorithmic realization are accented. |
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Last update: T_KNM (17.05.2008)
Basic knowledge of partial differential equations and functional analysis. Some knowledge of the finite element method is wellcome but not required. It is possible to adapt the lectures according to the former education of the students. |