Skip to main content
Skip header

Finite Element Method and Boundary Element Method

Type of study Follow-up MasterBachelor
Language of instruction English
Code 330-0326/04
Abbreviation MKPMHP
Course title Finite Element Method and Boundary Element Method
Credits 4
Coordinating department Department of Applied Mechanics
Course coordinator prof. Ing. Radim Halama, Ph.D.

Subject syllabus

1. Revision of Fundamental Knowledge and Terms in the Field of Continuum Mechanics.
2. Modelling of Continuum Mechanics Problems. Analytical and Numerical Solutions. Finite Difference Method.
3. Finite Element Method – Principle, Basic Equation Solution, Application to Thermal and Electric Fields Linear Problems. Stationary and Non-stationary Processes.
4. Finite Element Methods – Reference Points, Gaussian Integral, Errors and Adaptive Finite Element Method and Its Application. Convergence.
5. Boundary Element Method – Principle, Differences between FEM and BEM, Basic Equation Solution, Fundamental Solution, Application to Thermal and Electric Fields Linear Problems. Stationary and Non-stationary Processes.
6. Boundary Element Method – Boundary Discretization and Types of Elements. Constructing System of Equations. Application of Boundary Conditions. Solutions of System of Equations.
7. Boundary Element Method – Generalized Formulation of BEM Using the Method of Weighted Residiuals.
8. Selected Practical Problems Solved by FEM and BEM. Comparative Study.
9. Possible FEM and BEM Combinations.
10. Non-linear Problems – Introduction to Non-linearities (geometrical, material, and contact non-linearities). Possible solutions.

Literature

[1] BEER, G., WATSON, J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992. 509 p. ISBN 0 471 92813 5.

Advised literature

[1] BEER, G., SMITH, I., DUENSER, Ch.: The Boundary Element Method with Programming for Engineers and Scientists. Springer, 2008. 494 p. ISBN 978-3-211-71574-1 .