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Course, academic year 2023/2024
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Shape and Material Optimisation 2 - NMNV542
Title: Tvarová a materiálová optimalizace 2
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Jaroslav Haslinger, DrSc.
Class: M Mgr. MOD
M Mgr. MOD > Volitelné
M Mgr. NVM
M Mgr. NVM > Povinně volitelné
Classification: Mathematics > Numerical Analysis
Incompatibility : NMOD205
Interchangeability : NMOD205
Is interchangeable with: NMOD205
Annotation -
Last update: T_KNM (14.04.2015)
The second part of this course (summer semester) is devoted to practical aspects of shape optimization problems. It concerns sensitivity analysis, i.e. the differentiability of solutions to state problems and of cost functionals with respect to design parameters for both, continuous as well as the discrete setting of the problem.
Course completion requirements -
Last update: prof. RNDr. Jaroslav Haslinger, DrSc. (07.06.2019)

Oral examination

Literature -
Last update: doc. RNDr. Václav Kučera, Ph.D. (29.10.2019)

J. Haslinger, R.A. E. Mäkinen: Introduction to Shape Optimization, Theory, Approximation and Computation, SIAM, Advances in Design and Control, 2003, ISBN 0-89871-536-9

J. Sokolowski, J.P. Zolesio: Introduction to Shape Optimization: Shape Sensitivity Analysis, Springer- Verlag, Berlin, 1992

Requirements to the exam -
Last update: prof. RNDr. Jaroslav Haslinger, DrSc. (08.10.2017)

The exam is only oral according to the joint syllabus.

Syllabus -
Last update: T_KNM (27.04.2015)

Sensitivity analysis in optimal shape design problems:

  • the algebraic sensitivity analysis of algebraic systems arising from discretizations of optimization problems
  • sensitivity analysis in sizing optimization problems
  • sensitivity analysis in shape optimization problems , material and shape derivative of solutions to PDE's.
  • differentiation of cost functionals, optimality conditions.
  • application of the shape optimization approach for solving free boundary problems of Bernoulli type.
Entry requirements -
Last update: RNDr. Miloslav Vlasák, Ph.D. (17.05.2018)

Same as in Shape and Material optimization 1.

Registration requirements - Czech
Last update: prof. RNDr. Jaroslav Haslinger, DrSc. (17.05.2018)

Stejné jako v Tvarová a materiálová optimalizace 1

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