ECTS - Boundary Element Method Programming

Boundary Element Method Programming (MDES651) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Boundary Element Method Programming MDES651 3 0 0 3 5
Pre-requisite Course(s)
Consent of the instructor
Course Language English
Course Type N/A
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives The main objective of this course is to acquaint the students with the basic concepts about the programming principles of boundary element method. The students will learn the procedures in developing a boundary element formulation for specific engineering problems and with the obtain formulation; they will be able to program specific problems to solve given tasks.
Course Learning Outcomes The students who succeeded in this course;
  • Students will learn the basic principles of developing a boundary element formulation for a given specific engineering problem. Students will be able to design and implement a boundary element program for a given problem. Students will be acquainted with the challenges of numerical programming, e.g., numerical evaluation of singular integrals and special techniques to evaluate the Cauchy principal and Hadamard Finite Part integrals. Students will be able to implement pre and post processors for boundary element analysis programs. Students will acquire a new insight to numerical solution of boundary value problems.
Course Content Vector calculus; boundary value problems in mechanics; general outline of boundary element formulation; direct and indirect formulations; discretization-elements and integration; assembly and solution techniques; advanced techniques-dual reciprocity and multiple reciprocity, substructuring and boundary element-finite element coupling; parallel prog

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Mathematical introduction: Vector calculus and boundary value problems, numerical solution techniques of BVPs Related pages of the textbook and other courses
2 Boundary element method formulations Related pages of the textbook and other courses
3 Boundary element formulations – direct method Related pages of the textbook and other courses
4 Boundary element formulations – indirect method Related pages of the textbook and other courses
5 Several application problems: Laplace equation, linear Poisson equations, linear theory of elasticity Related pages of the textbook and other courses
6 Discretization of the domain – element types Related pages of the textbook and other courses
7 Discretization of the domain – integrations over elements Related pages of the textbook and other courses
8 Near singular, weakly singular integrals and integrals containing higher singularities Related pages of the textbook and other courses
9 Numerical evaluation of Cauchy principal value integrals and Hadamard Finite Part integrals Related pages of the textbook and other courses
10 Assembly and solution Related pages of the textbook and other courses
11 Pre- and post-processing of data Related pages of the textbook and other courses
12 Alternative formulations; dual reciprocity, multiple reciprocity and domain decomposition techniques Related pages of the textbook and other courses
13 Finite element – boundary element coupling Related pages of the textbook and other courses
14 Parallel programming issues in boundary element method Related pages of the textbook and other courses
15 Overall review -
16 Final exam -


Course Book 1. [1] Beer, G., Programming the boundary element method, John Wiley &Sons, (2001).
Other Sources 2. [2] Gao, X. W., Davies, T. G., Boundary element programming in mechanics, Cambridge University Press, (2002).
3. [3] Brebbia C. A., Domingues, J., Boundary elements, McGraw-Hill, (1992)..
4. [4] Wrobel, L.C., The boundary element method v.1 Applications in thermo-fluids and acoustics, John Wiley and Sons Inc., (2002)
5. [5] Aliabadi, M.H., The boundary element method v.2 Applications in solids and structures, John Wiley and Sons Inc., (2002)

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation 1 5
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics 5 5
Homework Assignments 5 40
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 1 20
Final Exam/Final Jury 1 30
Toplam 13 100
Percentage of Semester Work 70
Percentage of Final Work 30
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
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.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Special Course Internship
Field Work
Study Hours Out of Class 16 2 32
Presentation/Seminar Prepration
Homework Assignments 5 5 25
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 8 16
Prepration of Final Exams/Final Jury 1 10 10
Total Workload 131