# Boundary Element Method (MFGE508) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Boundary Element Method MFGE508 Elective Courses 3 0 0 3 5
Pre-requisite Course(s)
N/A
Course Language English Elective Courses Natural & Applied Sciences Master's Degree Face To Face Lecture, Drill and Practice, Problem Solving. Asst. Prof. Dr. Besim Baranoğlu 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. The students who succeeded in this course; Students will have knowledge on boundary element method and its procedures. Students will be able to formulate engineering problems with boundary element method. Students will improve their knowledge on numerical methods. Students will learn the basics of boundary element method programming. 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).
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. 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

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 40 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 An ability to apply advanced knowledge in computational and/or manufacturing technologies to solve manufacturing engineering problems . X
2 An ability to define and analyze issues related with manufacturing technologies. X
3 An ability to develop a solution based approach and a model for an engineering problem and design and manage an experiment. X
4 An ability to design a comprehensive manufacturing system based on creative utilization of fundamental engineering principles while fulfilling sustainability in environment and manufacturability and economic constraints. X
5 An ability to chose and use modern technologies and engineering tools for manufacturing engineering applications. X
6 Ability to perform scientific research and/or carry out innovative projects that are within the scope of manufacturing engineering. X
7 An ability to utilize information technologies efficiently to acquire datum and analyze critically, articulate the outcome and make decision accordingly. X
8 An ability to attain self-confidence and necessary organizational work skills to participate in multi-diciplinary and interdiciplinary teams as well as act individually. X
9 An ability to attain efficient communication skills in Turkish and English both verbally and orally. X
10 An ability to reach knowledge and to attain life-long learning and self-improvement skills, to follow recent advances in science and technology. X
11 An awareness and responsibility about professional, legal, ethical and social issues in manufacturing engineering. X
12 An awareness about solution focused project and risk management, enterpreneurship, innovative and sustainable development. X
13 An understanding on the effects of engineering applications on health, social and legal aspects at universal and local level during decision making process. X

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