Course content

This course focuses on the numerical solution of partial differential equations using the finite element method. Special emphasis is on the Poisson and the convection diffusion equation. The following topics will be discussed: minimization principle, weak formulation, boundary conditions, quadrature, error analysis, stability, convergence, implementation, direct and iterative solution of the resulting algebraic system of equations, and applications.

Learning outcome

This course gives an introduction to finite element methods used for the numerical solution of partial differential equations.

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.

Compulsory assignments

• Exercises

Recommended previous knowledge

The course is based on TMA4215 Numerical Mathematics and TMA4212 Numerical Solution of Differential Equations by Difference Methods.

Course materials

Will be announced at the start of the course.

Credit reductions