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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MECHANICAL ENGINEERING
Doctorate
Course Catalog
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Phone: +90 0462 3772905
FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MECHANICAL ENGINEERING / Doctorate
Katalog Ana Sayfa
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MAK7403Boundary Element Methods in Engineering3+0+0ECTS:7.5
Year / SemesterSpring Semester
Level of CourseThird Cycle
Status Elective
DepartmentDEPARTMENT of MECHANICAL ENGINEERING
Prerequisites and co-requisitesNone
Mode of DeliveryFace to face
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Olkan ÇUVALCI
Co-LecturerNone
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
To give the students the general concepts about differential equations in engineering and their solution methods, to introduce approximate methods, weighted residuals method, and to learn boundary element method and its one-, two-, and three-dimensional applications.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : remember differential equations in engineering, their solution methods and approximate methods.1,51,3
PO - 2 : introduce weighted residual method and its applications.1,4,51,3
PO - 3 : introduce the boundary methods.1,4,51,3
PO - 4 : introduce the boundary element method and its applications to one-, two-, and three-dimensional problems.1,4,51,3
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome

 
Contents of the Course
Differential equations in engineering and their solution methods. The approximate methods in engineering mathematics. The weighted residual method and its various applications. The boundary methods. Introduction to the boundary element method. The applications of the boundary element method to one-, two-, and three-dimensional problems.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Differential equations in engineering and yheir solution methods.
 Week 2Approximate methods in engineering mathematics.
 Week 3The weighted residuals method.
 Week 4Various applications of the weighted residuals method.
 Week 5The moment method.
 Week 6Collocation method.
 Week 7Galerkin's method.
 Week 8Weak formulation.
 Week 9Mid-term exam
 Week 10Boundary methods.
 Week 11Introduction to the boundary elemnt method.
 Week 12The application of the boundary elemnt method to one-dimensiaonal problems.
 Week 13The application of the boundary elemnt method to two-dimensiaonal problems.
 Week 14The application of the boundary elemnt method to three-dimensiaonal problems.
 Week 15Computer applications for boundary element method.
 Week 16End-of-term exam
 
Textbook / Material
1Durgun, O. Ders Notları, Yayınlanmamış
 
Recommended Reading
1Finlayson, BA. 1972, The method of weighted Residuals and Variational Princples, Academic Press.
2Brebbia, CA. 1978; The Boundary Element Method for Engineers, John Wiley and Sons.
3Brebbia, CA, Dominguez, J. 1989, Boundary Elements An Introductory Course, McGraw Hill.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 19/11/2012 2 30
In-term studies (second mid-term exam) 12 10/12/2012 2 20
End-of-term exam 17 12/01/2011 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 3 14 42
Sınıf dışı çalışma 4 14 56
Arasınav için hazırlık 3 5 15
Arasınav 2 1 2
Uygulama 1 7 7
Ödev 4 7 28
Dönem sonu sınavı için hazırlık 3 5 15
Dönem sonu sınavı 2 1 2
Diğer 1 3 5 15
Diğer 2 3 5 15
Total work load197