course-details-portlet

TMA4220

Numerical Solution of Partial Differential Equations Using Element Methods

Credits 7.5
Level Second degree level
Course start Autumn 2015
Duration 1 semester
Language of instruction English and norwegian
Examination arrangement Portfolio assessment

About

About the course

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 will be voluntary, others compulsory. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (65%) and compulsory exercises (35%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination. All the lecture notes are in English. The lectures will be given in English if they are attended by students
from the Master's Programme in Mathematics for International students. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.

Compulsory assignments

  • Exercises

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
SIF5050 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Other pages about the course

Subject areas

  • Mathematics
  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: Portfolio assessment
Grade: Letters

Ordinary examination - Autumn 2015

Arbeider
Weighting 35/100
Skriftlig eksamen
Weighting 65/100 Date 2015-12-04 Time 09:00 Duration 4 timer Place and room Not specified yet.

Re-sit examination - Summer 2016

Arbeider
Weighting 35/100
Skriftlig eksamen
Weighting 65/100 Duration 4 timer Place and room Not specified yet.

All about examinations at NTNU