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Shape and Material Optimisation 2 - NMOD205

Title:	Tvarová a materiálová optimalizace 2
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2013 to 2017
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
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Jaroslav Haslinger, DrSc.
Classification:	Mathematics > Numerical Analysis
Interchangeability :	NMNV542
Is incompatible with:	NMNV542
Is interchangeable with:	NMNV542

Annotation -

Last update: T_KNM (11.05.2006)

Mathematical analysis of sizing, shape and material optimization problems.

Aim of the course -

Last update: HASLING/MFF.CUNI.CZ (30.04.2008)

To get basic knowledge of the mathematical theory of shape optimization. Application of theoretical results to industrial problems.

Literature - Czech

Last update: T_KNM (19.05.2008)

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

Teaching methods -

Last update: T_KNM (19.05.2008)

Lectures in a lecture room.

Requirements to the exam -

Last update: prof. RNDr. Jaroslav Haslinger, DrSc. (08.10.2017)

Examination according to the syllabus.

Syllabus -

Last update: T_KNM (19.05.2008)

Sensitivity analysis in optimal shape design problems:

sensitivity analysis of solutions to systems of linear algebraic equations;

derivatives of solution to PDEs and of cost functionals with respect to coefficients of PDEs;

derivatives of solutions to PDEs and of cost functionals with respect to shapes of domains: material and shape derivative.

Optimality conditions.

Entry requirements -

Last update: T_KNM (19.05.2008)

Basic knowledge of modern methods in PDE´s.