Boundary Element Method (MFGE508) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Boundary Element Method	MFGE508		3	0	0	3	5

Pre-requisite Course(s)
N/A

Course Language	English
Course Type	N/A
Course Level	Ph.D.
Mode of Delivery	Face To Face
Learning and Teaching Strategies	Lecture, Drill and Practice, Problem Solving.
Course Coordinator
Course Lecturer(s)	Asst. Prof. Dr. Besim Baranoğlu
Course Assistants
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; 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.
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
Major Area Courses	X
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
#	Program Qualifications / Competencies	1	2	3	4	5
1	Gains the ability to understand and apply knowledge in the fields of mathematics, science and basic sciences at the level of expertise.
2	Gains the ability to access wide and deep knowledge in the field of Engineering by doing scientific research with current techniques and methods, evaluate, interpret and implement the gained knowledge.
3	Being aware of the latest developments his/her field of study, defines problems, formulates and develops new and/or original ideas and methods in solutions.
4	Designs and applies theoretical, experimental, and model-based research, analyzes and interprets the results obtained at the level of expertise.
5	Gains the ability to use the applications, techniques, modern tools and equipment in his/her field of study at the level of expertise.
6	Designs, executes and finalizes an original work process independently.
7	Can work in interdisciplinary and interdisciplinary teams, lead teams, use the information of different disciplines together and develop solution approaches.
8	Pays regard to scientific, social and ethical values in all professional activities and acquires responsibility consciousness at the level of expertise.
9	Contributes to the literature by communicating the processes and results of his/her academic studies in written form or orally in national and international academic environments, communicates effectively with communities and scientific staff working in the field of specialization.
10	Gains the skill of lifelong learning at the level of expertise.
11	Communicates verbally and in written form using a foreign language at least at the European Language Portfolio B2 General Level.
12	Recognizes the social, environmental, health, safety, legal aspects of engineering applications, as well as project management and business life practices, being aware of the limitations they place on engineering applications.

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