330-0326/04 – Finite Element Method and Boundary Element Method (MKPMHP)
| Gurantor department | Department of Applied Mechanics | Credits | 4 |
| Subject guarantor | prof. Ing. Radim Halama, Ph.D. | Subject version guarantor | prof. Ing. Radim Halama, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 1 | Semester | winter |
| | Study language | English |
| Year of introduction | 2016/2017 | Year of cancellation | |
| Intended for the faculties | FS, USP | Intended for study types | Bachelor, Follow-up Master |
Subject aims expressed by acquired skills and competences
Student completing the course will be able to:
- Build a model describing the behavior of of elastic body (system).
- Implement the solution of the model one of the methods described above.
- Evaluate and draw conclusions.
Teaching methods
Lectures
Tutorials
Summary
The course extends the foundation for the use of finite element methods and explains important aspects of the application and implementation of the Boundary Element Method. It formulates the nonlinear continuum mechanics. It contains general formulations of continuum mechanics, the basics of linearization, finally the application of FEM and BEM to specific types of linear and nonlinear elasticity tasks.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
test
E-learning
Other requirements
This course is a continuation of the subject Numerical methods.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
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.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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