Shape and Material Optimisation 1 - NMNV541
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The first part of this course is devoted to comprehensive introduction to the mathematical theory of optimal shape
design problems. The stability of solutions to elliptic PDE’s on parameters characterizing the geometry of
systems ( thickness of plates, shape of domains where state problems are formulated) will be studied. This
property plays the key role in the existence analysis. This part deals not only with the continuous setting of
problems but also with their discretizations (state problems by finite elements, shapes by Bezier curves) followed
by the convergence analysis.
Last update: T_KNM (14.04.2015)
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Oral examination Last update: Haslinger Jaroslav, prof. RNDr., DrSc. (07.06.2019)
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J. Haslinger, P. Neittaanmäki: Finite Element Approximation for Optimal Shape, Material and Topology Design. 2nd edition, John Willey, 1996
J. Haslinger, R. Mäkinen: Introduction to Shape Optimization,Theory, Approximation and Computation. SIAM, 2003 Last update: Kučera Václav, doc. RNDr., Ph.D. (29.10.2019)
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The exam is only oral according to the joint syllabus. Last update: Haslinger Jaroslav, prof. RNDr., DrSc. (08.10.2017)
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Abstract formulation of shape optimization problems. Existence of solutions. Discretization of shape optimization problems- abstract formulation. Convergence analysis Application of abstract results to particular shape optimization problems with different state relations ( Dirichlet, Neumann, mixed Stokes) Last update: T_KNM (27.04.2015)
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Basic knowledge of functional analysis and approximation of elliptic equations by finite elements is required. Last update: Vlasák Miloslav, RNDr., Ph.D. (17.05.2018)
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