# 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 N/A 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 Ability to expand and get in-depth information with scientific researches in the field of mechanical engineering, evaluate information, review and implement.
2 Have comprehensive knowledge about current techniques and methods and their limitations in Mechanical engineering.
3 To complete and apply knowledge by using scientific methods using uncertain, limited or incomplete data; use information from different disciplines.
4 Being aware of the new and developing practices of Mechanical Engineering and being able to examine and learn when needed.
5 Ability to define and formulate problems related to Mechanical Engineering and develop methods for solving and apply innovative methods in solutions.
6 Ability to develop new and/or original ideas and methods; design complex systems or processes and develop innovative/alternative solutions in the designs.
7 Ability to design and apply theoretical, experimental and modeling based researches; analyze and solve complex problems encountered in this process.
8 Work effectively in disciplinary and multi-disciplinary teams, lead leadership in such teams and develop solution approaches in complex situations; work independently and take responsibility.
9 To establish oral and written communication by using a foreign language at least at the level of European Language Portfolio B2 General Level.
10 Ability to convey the process and results of their studies systematically and clearly in written and oral form in national and international environments.
11 To know the social, environmental, health, security, law dimensions, project management and business life applications of engineering applications and to be aware of the constraints of their engineering applications.
12 Ability to observe social, scientific and ethical values in the stages of data collection, interpretation and announcement and in all professional activities.

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