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Finite Element Method 2 - NMNV436

Title:	Metoda konečných prvků 2
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2016
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. Mgr. Petr Knobloch, Dr., DSc.
Class:	M Mgr. NVM M Mgr. NVM > Povinně volitelné
Classification:	Mathematics > Differential Equations, Potential Theory, Numerical Analysis
Incompatibility :	NNUM067
Interchangeability :	NNUM067
Is interchangeable with:	NNUM067

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KNM (30.04.2015)

Stabilized methods for the numerical solution of convection-diffusion equations (SUPG method, local projection method). Least squares method. Numerical solution of saddle point problems, mixed finite element method for the numerical solution of the Poisson equation. Maximum norm error estimates.

Literature - Czech

Last update: T_KNM (15.09.2013)

H.-G. Roos, M. Stynes, L. Tobiska: Robust numerical methods for singularly perturbed differential equations: convection-diffusion-reaction and flow problems, 2nd ed., Springer-Verlag, 2008

P.B. Bochev, M.D. Gunzburger: Least-squares finite element methods, Springer-Verlag, 2009

F. Brezzi, M. Fortin: Mixed and hybrid finite element methods, Springer-Verlag, 1991

S.C. Brenner, R.L. Scott: The mathematical theory of finite element methods, 3rd ed., Springer-Verlag, 2008

B. Jiang: The least-squares finite element method, Springer-Verlag, 1998

L.B. Wahlbin: Local behavior in finite element methods, in: Handbook of numerical analysis, vol. II (P.G. Ciarlet, J.L. Lions - eds.), North-Holland, 1991

Syllabus -

Last update: doc. RNDr. Václav Kučera, Ph.D. (15.01.2019)

SUPG method

Local projection method

Least squares method

Numerical solution of saddle point problems

Mixed finite element method for the numerical solution of the Poisson equation

Maximum norm error estimates