Oct 22, 2020   12:28 p.m. Sergej

# Course syllabus D1-MKP - Finite element method (FCE - 2020/2021 - post-graduate studies)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty:
Course unit code:
D1-MKP
Course unit title:
Finite element method
Mode of delivery, planned learning activities and teaching methods:
 workshop 2 hours weekly / 26 hours per semester of study (on-site method)

Credits allocated:
5

Recommended semester/trimester:
Applied Mathematics - doctoral (semi-compulsory), 1. year
Applied Mathematics - doctoral (semi-compulsory), 1. year
Applied Mathematics - doctoral (semi-compulsory), 1. year
Applied Mathematics - doctoral (semi-compulsory), 1. year
Level of study:
3.
Prerequisites for registration:
none

Assesment methods:
Correctly elaborated all given tasks, exam.

Learning outcomes of the course unit:
Student will be familiar with theoretical and algorithmic aspects of the finite element method for solving boundary value problems for ordinary and partial differential equations.

Course contents:
- Integral formulation of boundary value problems for ordinary and partial differential equations, Ritz-Raleigh and Galerkin method.
- Solution to boundary value problems by the finite element method in one or more dimensions using systems Mathematica and ANSYS.
- Approximating functions, numerical integration, adaptive grids and computer implementation of the finite element method.
- Solving non-stationary problems by the finite element method.

Basic:
 REDDY, J N. An introduction to the finite element method. New York : McGraw-Hill, 1993. 684 p. ISBN 0-07-112799-2. BRENNER, S C. -- SCOTT, L. The mathematical theory of finite element methods. New York : Springer Verlag, 2002. 361 p. ISBN 0-387-95451-1. THOMÉE, V. Galerkin finite element methods for parabolic problems. Berlin : Springer Verlag, 1997. 302 p. ISBN 3-540-63236-0.

Language of instruction:
slovak and english or english

Notes:

Courses evaluation:
Assessed students in total: 16

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Name of lecturer(s):
prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english

Last modification:
31. 3. 2020
Supervisor:
prof. RNDr. Karol Mikula, DrSc. and programme supervisor

Last modification made by Ing. Marián Dubík on 03/31/2020.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)