Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Zahir MURADOĞLU
Associate Prof. Dr. Arzu COŞKUN

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Students learn theoretical concepts of Finite Element Method
2) Students know some concepts about variational methods
3) Solve the heat transfer equation with the help of Ritz method
4) Knows one-dimensional partial linear basis functions and their applications.
5) Applies quadratic basis functions to the boundary value problem for the one-dimensional heat transfer equation
6) Students apply Hermite basis functions to fourth-order equations
7) Students know the application techniques of the finite element method to different problems in academic studies.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7
Learning Outcomes
	1	No relation	High	High	Middle	High	Middle	Middle
	2	High	High	High	High	Middle	High	Middle
	3	High	High	High	Middle	High	Middle	Middle
	4	High	High	Middle	High	High	Middle	Middle
	5	High	High	High	Middle	Middle	Middle	Middle
	6	High	High	High	Middle	High	Middle	High
	7	High	High	High	Middle	Middle	Middle	Middle

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

This course provides candidates with profound knowledge on boundary value problems corresponding to some physics and engineering problems and their variational formulations, definition of Sobolev spaces and finite elements, base functions., bilinear and linear forms, one dimensional problems, partial-linear and second order base functions, hermite base functions and their applications.

Weekly Schedule

1) The boundary value problems correponding to some physics and engineering problems
2) The boundary value problems correponding to some physics and engineering problems
3) The variational expressions of some engineering problems.
4) Sobolev spaces
5) Definition and classification of finite elements.
6) Base functions. Bilinear and linear forms.
7) One dimensional problems.
8) Midterm examination/Assessment
9) To generate local stiffness matrix for partial-linear base functions.
10) To generate global matrix for partial-linear base functions. To obtain finite difference equation.
11) To generate local matrix for second order base functions.
12) To generate global matrix for second order base functions. To obtain finite difference equation.
13) Hermite base functions.
14) Application
15) Application
16) Final examination

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Modelling
4) Group Study
5) Self Study
6) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)