330-0326/04 – Finite Element Method and Boundary Element Method (MKPMHP)

Gurantor departmentDepartment of Applied MechanicsCredits4
Subject guarantorprof. Ing. Radim Halama, Ph.D.Subject version guarantorprof. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type A
Year3Semesterwinter
Study languageEnglish
Year of introduction2016/2017Year of cancellation
Intended for the facultiesFS, USPIntended for study typesFollow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 prof. Ing. Radim Halama, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

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:

[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.

Recommended 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.

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

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16 3
Mandatory attendence participation: The knowledge of students is continuously verified during each lesson in the form of discussion and questions with the aim of actively involving students in the lecture. Students elaborate semestral works according to an individual assignment. Students' knowledge is verified at the end of the semester by a written test and an oral exam.

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Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students must submit semestral works. On the basis of a successfully completed credit, they can take an exam, which will consist of a written and an oral part.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2024/2025 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2024/2025 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2024/2025 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2024/2025 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2023/2024 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2023/2024 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2023/2024 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2023/2024 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2023/2024 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2022/2023 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2022/2023 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2022/2023 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2022/2023 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2022/2023 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2021/2022 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2021/2022 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2021/2022 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2021/2022 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2021/2022 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies MM P English Ostrava 3 Choice-compulsory type A study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies CH P English Ostrava 3 Choice-compulsory type B study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies F P English Ostrava 3 Choice-compulsory type B study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies MR P English Ostrava 3 Choice-compulsory type B study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies MT P English Ostrava 3 Choice-compulsory type B study plan
2018/2019 (N2658) Computational Sciences (2612T078) Computational Sciences P English Ostrava 1 Choice-compulsory study plan
2017/2018 (N2658) Computational Sciences (2612T078) Computational Sciences P English Ostrava 1 Choice-compulsory study plan
2016/2017 (N2658) Computational Sciences (2612T078) Computational Sciences P English Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

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