MU24004 Finite Element Method

Mathematical Institute in Opava
Winter 2023
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. Roman Popovych, D.Sc. (lecturer)
prof. Roman Popovych, D.Sc. (seminar tutor)
Guaranteed by
prof. Roman Popovych, D.Sc.
Mathematical Institute in Opava
Timetable
Wed 15:35–17:10 R2
  • Timetable of Seminar Groups:
MU24004/01: Wed 17:15–18:00 R2, R. Popovych
Prerequisites (in Czech)
TYP_STUDIA(N)
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of this course is to acquaint students with the principles of FEM and with its applications.
Syllabus
  • The description of the finite element method.
    The basic idea of the the finite element method and its application in one-dimensional case.
    Weak and classical solutions. Error estimates.
    The finite element method in the two-dimensional case.
    The application of the finite element method in numerical solutions of boundary problems arising from mathematical modeling of physical processes, e.g. heat conductivity problems, elasticity problems, convection diffusion problem, etc.
Literature
    required literature
  • R. Blaheta. Matematické modelování a metoda konečných prvků. VŠB-TU Ostrava, 2012. info
  • S. Míka, P. Přikryl a M. Brander. Numerické metody řešení okrajových úloh pro diferenciální rovnice. ZČU Plzeň, 2006. ISBN 80-86843-13-0. info
  • P. G. Ciarlet. The finite element method. North Holladn, Amsterdam, 1978, 1978. info
    recommended literature
  • C. Johnson. Numerical solution of partial differential equations by teh finite element method. Cambridge, University Press. info
  • L. Čermák. Algoritmy metody konečných prvků. PC-DIR Real, Brno, 2000. info
  • A. Ženíšek. Matematické základy metody konečných prvků. VUT Brno, 1999. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
Attendance at lectures is recommended. In the introductory lesson, students will be informed about the requirements of lecturers for successful completion of the subject.
Credit: 60 to 70% points from written tests during the semester; the specific value is determined by the lecturer according to the difficulty of individual test
Exam: It consists of a written and an oral part. The requirements for successful completion of the written part will be determined by the lecturer so that they correspond to the level of requirements placed on students during the semester. Upon successful completion of the written part, students will be examined verbally, emphasizing the theoretical part of the lectured subject.
The course is also listed under the following terms Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2021, Winter 2024.
  • Enrolment Statistics (Winter 2023, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2023/MU24004