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Shape and Material Optimisation 1 - NMOD105

Title:	Tvarová a materiálová optimalizace 1
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time

Guarantor:	prof. RNDr. Jaroslav Haslinger, DrSc.
Classification:	Mathematics > Numerical Analysis
Interchangeability :	NMNV541
Is incompatible with:	NMNV541
Is interchangeable with:	NMNV541

Annotation -

Mathematical analysis of sizing, shape and material optimization problems.

Last update: T_KNM (11.05.2006)

Aim of the course -

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

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

Literature - Czech

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: T_KNM (19.05.2008)

Teaching methods -

Lectures in a lecture room.

Last update: T_KNM (19.05.2008)

Requirements to the exam -

The exam is only oral according to the joint syllabus

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

Syllabus -

Abstract formulation of shape optimization problems, existence analysis.

Discretization of shape optimization problems - abstract formulation, convergence analysis.

Applications of abstract results to particular shape optimization problems governed by various state problems (Dirichlet, Neumann, mixed, Stokes).

Last update: T_KNM (19.05.2008)

Entry requirements -

Basic knowledge of modern methods in PDE´s.

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