# TMA4220 - Numerical Solution of Partial Differential Equations Using Element Methods

### Examination arrangement

Examination arrangement: Aggregate score

Evaluation Weighting Duration Grade deviation Examination aids
Project work 35/100
School exam 65/100 4 hours C

### Course content

The course gives an introduction to finite element methods for the numerical solution of partial differential equations. Topics include: Minimization principle, weak formulation, boundary conditions, quadrature, error analysis, stability, convergence, implementation, direct and iterative solution of the resulting algebraic systems of equations, and applications to the Poisson equation and convection-diffusion equation.

### Learning outcome

1) Knowledge: The students have knowledge about the strong and weak formulations of linear partial differential equations. The student know the mathematical foundation for the finite element method.

2) Skills: The students are able to formulate and implement FEM applied to realistic problems, in 1, 2 and 3 dimensions, including time dependent problems. They are also able to evaluate the numerical result. 3. General competence: The students gain experience with written and oral presentation of scientific problems and results.

### Learning methods and activities

Lectures and exercises. Some of the exercises are voluntary, others compulsory. The grade awarded in the course is based on written school exam (65%) and works (projects) (35%).

Students are free to choose Norwegian or English for written assessments.

• Exercises

### Further on evaluation

Retake of examination may be given as an oral examination. The retake exam is in August.

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

### Course materials

Will be announced at the start of the course.

### Credit reductions

Course code Reduction From To
SIF5050 7.5
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2024

Language of instruction: English

Location: Trondheim

Subject area(s)
• Mathematics
• Technological subjects
Contact information
Course coordinator:

Department of Mathematical Sciences

# Examination

#### Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 65/100 2024-12-07 09:00
Autumn ORD Project work 35/100

Submission
2024-11-22

14:00

Summer UTS School exam 65/100
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU