Subjects

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Approximate and Numerical Methods 2 - NNUM002

Title:	Přibližné a numerické metody 2
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/2, C+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
Incompatibility :	NMNV405, NNUM015
Interchangeability :	NMNV405, NNUM015
Is incompatible with:	NNUM033, NNUM034, NMNV405, NNUM015
Is interchangeable with:	NMNV405, NNUM015

Annotation -

Finite element method for the numerical solution of linear elliptic partial differential equations.

Last update: T_KNM (18.05.2008)

Aim of the course -

To get basic knowledge on finite element methods and their applications for numerical realization of elliptic equations.

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

Literature - Czech

Haslinger J.: Metoda konečných prvků pro řešení eliptických rovnic a nerovnic. Skripta MFF UK, SPN Praha, l98O.

Last update: T_KNM (18.05.2008)

Teaching methods -

Lectures and tutorials in a lecture hall.

Last update: T_KNM (18.05.2008)

Requirements to the exam -

Examination according to the syllabus.

Last update: T_KNM (18.05.2008)

Syllabus -

Abstract formulation of linear elliptic problems, Lax-Milgram theorem.

Ritz-Galerkin method for approximations of abstract eliptic problems.

A basic idea of finite element methods (FEM).

Theory of approximations in Sobolev spaces. Application to Lagrange and Hermite interpolations.

Convergence rate of approximate solutions, convergence rate in the L2-norm.

Numerical integration in FEM.

Last update: Haslinger Jaroslav, prof. RNDr., DrSc. (08.05.2006)

Entry requirements -

Basic knowledge of modern methods in PDE´s.

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