# 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 Ph.D. 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

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