Uppsala University
Department of Information Technology
Scientific Computing
Finite Element Methods

Finite Element Methods



Lecturer: Murtazo Nazarov
Room: 2421
Phone: 018-471 6287
E-mail: murtazo(DOT)nazarov(AT)it(DOT)uu(DOT)se
Office hours: Tuesdays 9:00-10:00, or by appointments

Assistant: Emilie Blanc
Room: 2441
Phone: 018-471 2766
E-mail: emilie(DOT)blanc(AT)it(DOT)uu(DOT)se
Office hours: Mondays 14:00-15:00, or by appointments

Syllabus in pdf


In this course you will learn the basic knowledge of the theory, practice and implementation of finite element methods to the partial differential equations of physics and engineering sciences. The main purpose is to give a balanced combination of theoretical and practical skills. The theory part gives you knowledge on the derivation of finite element formulations, a priori and a posteriori error estimates, methods and algorithms of adaptive mesh refinements, standard stability estimates, etc. The practical part of the course will teach you a knowledge on computer implementation of the finite element discretizations: element matrices, assembly process, numerical integration, local mesh refinement, etc, in one and two space dimensions.


[LB] Larson, M.G., Bengzon, F. The Finite Element Method: Theory, Implementation, and Practice. Department of Mathematics, Umea University 2009.

[EEHJ] K. Eriksson, D. Estep, P. Hansbo, C. Johnson. Computational Differential Equations. Studentlitteratur, ISBN ISBN 91-44-49311-8.

[J] C. Johnson. Numerical Solution of Partial Differential Equations by the Finite Element Method.

[EG] Alexandre Ern, Jean-Luc Guermond. Theory and Practice of Finite Elements. ISBN 978-0-387-20574-8.

In this course we will mainly use [LB].

Course content

There will be 12 lectures, 6 exercise classes, and 5 laborations.


There will be three mandatory assignments and one exam.
Assignments: 2 points
Final: 3 points

Scholastic Dishonesty

Students may work together and discuss the homework problems with each other. Copying work done by others is an act of scholastic dishonesty and will be prosecuted to the full extent allowed by University policy. For more information on university policies regarding scholastic dishonesty, see the University of Uppsala's policy at http://www.it.uu.se/edu/fusk.pdf . The policy is in Swedish.

Students with Disabilities:

According to the University regulation all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you need help or want to get more information about it please contact the University of Uppsala's services for students with disabilities.


This course is mainly adopted from previous courses developed by Axel Mlqvist. All credits go to him.