Introduction to the Finite Element Method - NMNM336
Title: Úvod do metody konečných prvků
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2015
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
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. Jiří Felcman, CSc.
Class: M Bc. OM
M Bc. OM > Zaměření NUMMOD
M Bc. OM > Povinně volitelné
Classification: Mathematics > Numerical Analysis
In complex pre-requisite: NMNM349
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Annotation -
Last update: G_M (28.05.2012)
Foundations of the Finite Element Method. Recommended elective course for bachelor's program in General Mathematics, specialization Mathematical Modelling and Numerical Analysis.
Course completion requirements -
Last update: doc. RNDr. Jiří Felcman, CSc. (13.10.2017)

Credit for the exercise is granted for continuous activity at the exercise and continuous homework throughout the semester.
Literature -
Last update: doc. RNDr. Václav Kučera, Ph.D. (29.10.2019)

P.G. Ciarlet: Basic error estimates for elliptic problems. In: P.G. Ciarlet and J.L. Lions (eds.), Handbook of Numerical Analysis, vol. 2, North-Holland, Amsterdam, 1991, pp. 17-351

S.C. Brenner, L.R. Scott: The Mathematical Theory of Finite Element Methods, Springer, New York, 1994 (1st ed.), 2002 (2nd ed.), 2008 (3rd ed.)

Requirements to the exam -
Last update: doc. RNDr. Jiří Felcman, CSc. (30.04.2020)

The exam is written and oral, possibly in the form of distance testing and distance interview. The examination requirements are given by the topics in the syllabus, in the extent to which they they were taught in course.
Syllabus -
Last update: T_KNM (27.04.2015)

Introduction to the finite element method. Discretization of general elliptic second order partial differential equation. Finite element space construction. Cea theorem, convergence, superconvergence, adaptivity, maximum principle. Implementation of finite element method in computers, properties of linear systems coming from finite element discretization, discrete solution computing.