Domain Decomposition Methods - NNUM213

• Title: Metody domain decomposition
• Guaranteed by: Department of Numerical Mathematics (32-KNM)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2018
• 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: cancelled
• Language: Czech
• Teaching methods: full-time
• Teaching methods: full-time
• Guarantor: doc. RNDr. Petr Mayer, Dr.; prof. RNDr. Ivo Marek, DrSc.
• Classification: Mathematics > Numerical Analysis
• Interchangeability : NMNV466
• Is incompatible with: NMNV466
• Is interchangeable with: NMNV466

Annotation

English

Last update: T_KNM (19.05.2004)

The course is devoted to solving systems of linear algebraic equations arising from discretization of second order PDE. The main emphasis is given to Schwarz domain decomposition method with coarse space.

Czech

Last update: T_KNM (19.05.2004)

Rychlé iterační a hybridní algoritmy. Varianty metod rozkladu na podoblasti, agregace. Paralelní implementace.

Aim of the course

English

Last update: T_KNM (16.05.2008)

The course gives students a knowledge of algorithms employing domain decomposition.

Czech

Last update: T_KNM (16.05.2008)

Studenti se seznámí s algoritmy využívajícími rozklad oblasti na podoblasti.

Literature

Last update: T_KNM (16.05.2008)

Hackbusch W.: Multigrid Methods. Springer Verlag, Berlin-Heidelberg-New York, l988.

Multigrid Methods. Lecture Notes in Mathematics, Vo.96O. Springer Verlag Berlin-Heidelberg-New York, l982. Editoři Hackbusch W. a Trottenberg U.

Mayer P.: Víceúrovňové metody. Disertace, MFF UK, l995.

Teaching methods

English

Last update: T_KNM (16.05.2008)

Lectures in a lecture hall.

Czech

Last update: T_KNM (16.05.2008)

Přednášky v posluchárně.

Requirements to the exam

English

Last update: T_KNM (16.05.2008)

Student evaluation is based on examination only.

Czech

Last update: T_KNM (16.05.2008)

Zkouška dle sylabu.

Syllabus

English

Last update: T_KNM (16.05.2008)

The course is devoted to solving systems of linear algebraic equations arising

from discretization of second order PDE. The main emphasis is given to Schwarz domain decomposition method with coarse space.

Czech

Last update: T_KNM (16.05.2008)

Metoda rozkladu oblasti. Neumann-Neumannovy podmínky na rozhraní. Vlastnosti algoritmu. Stabilizace algoritmu-vybalancování korekcí. Porovnání s "klasickými" multigridními postupy.

Obecné víceúrovňové metody. Abstraktní teorie.

Úlohy s nehladkými daty. Homogenizace jako dvouúrovňový proces.

Entry requirements

English

Last update: T_KNM (16.05.2008)

There are no special entry requirements.

Czech

Last update: T_KNM (16.05.2008)

Nejsou předpokládány žádné speciální znalosti.