Jun 24, 2019   6:16 p.m. Ján

Course syllabus I1-MOKP - Boundary element method (FCE - WS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: I1-MOKP
Course unit title: Boundary element method
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Mathematical and Computational Modeling - master (compulsory), 3. semester
Level of study: 2.
Prerequisites for registration: none

Assesment methods:
56 points on exam achieved.

Learning outcomes of the course unit:
Student will be familiar with theoretical basis of the boundary element method (BEM) for solving boundary value problems for partial differential equations and with numerical implementation of BEM, mainly for potential theory problems.

Course contents:
- Direct formulation of BEM for solving the Laplace equation (integral representation of potential and boundary integral equation).
- Discretization of boundary integrals by the collocation method (boundary discretization, polynomial interpolation on boundary elements, system of discretized boundary integral equations).
- Regularization approaches on singular elements.
- BEM for outer boundary value problems.
- Method of fundamental solutions and singular boundary element method for potential theory problems.

Basic:
 BALAŠ, J. -- SLÁDEK, J. -- SLÁDEK, V. Analýza napätí metódou hraničných integrálnych rovníc. Bratislava : Veda, 1985. 451 p. BREBBIA, C A. -- TELLES, J. -- WROBEL, L. Boundary element techniques. Berlín : Springer Verlag London, 1984. 464 p. HUNTER, P. -- PULLAN, A. FEM/BEM notes.  [online]. 1997. URL: http://www.cs.rutgers.edu/~suejung/fembemnotes.pdf.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 21

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

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Karol Mikula, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 02/28/2019.

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