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)
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


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

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Application 16 2 32
Special Course Internship
Field Work
Study Hours Out of Class 16 6 96
Presentation/Seminar Prepration
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