Uppsala University Department of Information Technology Scientific Computing Finite Element Methods2014-10-30

## Finite Element Methods

(http://www.it.uu.se/edu/course/homepage/fem/ht14)

#### Teachers

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: Lina Meinecke
Room: 2348
Phone: 018-471 3123
E-mail: lina(DOT)meinecke(AT)it(DOT)uu(DOT)se
Office hours: Mondays 14:00-15:00, or by appointments

#### Objectives

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, computer implementations of the finite element discretizations: element matrices, assembly process, numerical integration, local mesh refinement, etc.

#### Textbook

[LB] Larson, M.G., Bengzon, F. The Finite Element Method: Theory, Implementation, and Practice. Department of Mathematics, Umea University 2009. (Get it only from the university IP.)

[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 3 laborations.

#### Examinations

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.

#### Credits

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