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FSI-SN3Acad. year: 2011/2012
The course deals with the mathematical foundations of the finite element method and with the explanation of selected finite elements algorithms of basic engineering problems. First, the fundamentals of the theory of Sobolev spaces is presented. Using it, the term of the weak solution of a boundary value problem of an elliptic partial differential equation is explained. This weak solution is then approximated by the finite element method in various ways. Various types of finite elements are introduced. Also discussed is the theory of interpolation and numerical integration in the finite element method. The convergence of the finite element method is analysed. Using a linear triangular finite element, they will assemble and debug their own programs for the solution of elliptic, parabolic, hyperbolic and eigenvalue problems.
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Specification of controlled education, way of implementation and compensation for absences
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branch M-MAI , 1 year of study, winter semester, compulsory
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Computer-assisted exercise