ECTS - Boundary Element Method
Boundary Element Method (MFGE508) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Boundary Element Method | MFGE508 | Area Elective | 3 | 0 | 0 | 3 | 5 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Elective Courses |
| Course Level | Ph.D. |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Drill and Practice, Problem Solving. |
| Course Lecturer(s) |
|
| Course Objectives | The objective of this course is to introduce the general concepts in Boundary Element Method for the solution of engineering problems. The method will be applied to Laplace equation and elastostatics, but the course will give the tools for expanding the procedure. The course will also cover the parallel solution strategy. |
| Course Learning Outcomes |
The students who succeeded in this course;
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| Course Content | Introduction, preliminary concepts, vector and tensor algebra, indicial notation, divergence theorem, Dirac delta function; singular integrals, Cauchy principal value integrals in 1 and 2D, boundary element formulation for Laplace equation, Laplace equation; discretization, boundary element formulation for elastostatics, elastostatics, discretizati |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Introduction; Preliminary Concepts: vector and tensor algebra, indicial notation. | |
| 2 | Vector algebra, Divergence theorem, dirac delta function. | |
| 3 | Singular integrals; Cauchy principal value integrals in 1D and 2D. | |
| 4 | Boundary Element Formulation for Laplace equation. | |
| 5 | Boundary Element Formulation for Laplace equation. | |
| 6 | Laplace equation: Discretization (constant and linear elements). | |
| 7 | Laplace equation: Discretization (quadratic elements). | |
| 8 | Boundary Element Formulation for Elastostatics. | |
| 9 | Boundary Element Formulation for Elastostatics. | |
| 10 | Elastostatics: Discretization (constant and linear elements). | |
| 11 | Elastostatics: Discretization (quadratic elements). | |
| 12 | Fundamental solutions. | |
| 13 | Numerical methods for singular integrals, Analytical solutions. | |
| 14 | Parallel solution strategy. | |
| 15 | Final Examination Period | |
| 16 | Final Examination Period |
Sources
| Course Book | 1. Paris, F., Canas, J., Boundary Element Method: Fundamentals and Applications, Oxford University Press, 1997. |
|---|---|
| Other Sources | 2. Banerjee, P. K., Butterfield, R., Boundary Element Methods in Engineering Science, McGraw-Hill, 1981. |
| 3. Brebbia, C. A., Telles, J. C. F., Wrobel, L. C., Boundary Element Techniques, Springer-Verlag, 1984. | |
| 4. Cartwright, D. J., Underlying Principles of the Boundary Element Method, WIT Press, 2001. |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 6 | 30 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 1 | 30 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 8 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Ability to carry out advanced research activities, both individual and as a member of a team | X | ||||
| 2 | Ability to evaluate research topics and comment with scientific reasoning | X | ||||
| 3 | Ability to initiate and create new methodologies, implement them on novel research areas and topics | X | ||||
| 4 | Ability to produce experimental and/or analytical data in systematic manner, discuss and evaluate data to lead scintific conclusions | X | ||||
| 5 | Ability to apply scientific philosophy on analysis, modelling and design of engineering systems | X | ||||
| 6 | Ability to synthesis available knowledge on his/her domain to initiate, to carry, complete and present novel research at international level | X | ||||
| 7 | Contribute scientific and technological advancements on engineering domain of his/her interest area | X | ||||
| 8 | Contribute industrial and scientific advancements to improve the society through research activities | X | ||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | 16 | 2 | 32 |
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 16 | 6 | 96 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 6 | 6 | 36 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | |||
| Prepration of Final Exams/Final Jury | 1 | 15 | 15 |
| Total Workload | 179 | ||