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;
|
| 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 | Is independently able to build a problem in the area of study, solve the problem by developing solution techniques and assess the solutions. | X | ||||
| 2 | Is capable of creating a groundwork in the fundamental branches of mathematics as well as in his/her research area | X | ||||
| 3 | follows the latest national and international literature in Mathematics and in his/her area of research; and uses them in his/her related studies | X | ||||
| 4 | observes and adopts the scientific ethical values in his/her professional and social life | X | ||||
| 5 | presents in Turkish and English in academic/scientific events the results of his/her research or the latest studies and findings on a special topic and participates in discussions | X | ||||
| 6 | Develops skills to work independently or as a member of a team | X | ||||
| 7 | Develops competences in the areas of creative and critical thinking, problem solving and producing original studies. Follows recent scientific studies, is capable of making an analysis, synthesis and assessment of the knowledge acquired | X | ||||
| 8 | Is open to lifelong improvement of his/her acquired knowledge, skills and competences. | X | ||||
| 9 | Is able to apply the acquired knowledge and problem-solving skills to interdisciplinary studies, proposes different solution methods to problems in terms of mathematical models and from a mathematical point of view | X | ||||
| 10 | Uses the mathematical based softwares, informatics and communication technologies for scientific purposes | 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 | ||