Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Zahir MURADOĞLU

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

Learning Outcomes of the Course Unit

1) Students know the theoretical concepts related to the Finite Element Method in two dimensions
2) Knows the techniques for obtaining functionals corresponding to boundary value problems for partial differential equations.
3) Knows the solution method of boundary value problems by applying rectangular finite elements in two dimensions.
4) Applies triangular finite elements to the solution of boundary value problems for partial differential equations
5) Applies barycentric coordinates
6) Students know the techniques of applying the finite element method to different plane problems in academic studies.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7
Learning Outcomes
	1	High	High	High	Middle	High	Middle	Middle
	2	High	High	High	High	Middle	Middle	Middle
	3	High	High	High	Middle	Middle	Middle	Middle
	4	High	High	High	Middle	Middle	Middle	Middle
	5	High	High	Middle	High	Middle	Middle	Middle
	6	High	High	Middle	Middle	Middle	Middle	Middle

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Variational formulation of boundary value problems for partial differential equations. Classification of two dimensional finite elements . Base functions. Approximation error. Local and global stiffness matrices. To obtain algebraic equation systems for triangle and rectangle finite elements. Form of stiffness matrices.

Weekly Schedule

1) Classification of finite elements for two dimensional case
2) Lagrange interpolation polinomial and its error for two variable functions.
3) Mathematical models of some physics and engineering problems
4) Mathematical models of some physics and engineering problems
5) Variational formulation of boundary value problems for partial differential equations.
6) Variational formulation of boundary value problems for partial differential equations.
7) Base functions. Approximation error.
8) Midterm examination/Assessment
9) Obtaining the system of algebraic equations for triangular finite elements
10) To obtain algebraic equation system for triangle finite elements.
11) Application
12) Natural coordinates for one-dimensional case
13) Natural coordinates for triangle finite elements.
14) Natural coordinates for rectangular finite elements
15) Application
16) Final examination

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Modelling
6) Self Study
7) 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)