In this course we study the finite element method for the numerical solution of linear and nonlinear partial differential equations. We introduce the most important finite elements, for example higher order polynomials on tetrahedra and hexahedra as well as isoparametric elements. An abstract framework for the analysis of elliptic problems is used throughout the course, in example to prove existence and uniqueness and for error analysis. A very important and popular application of the finite element method in engineering is analyzing properties of mechanical components. We therefore focus our examples of applications on solid mechanics, for example linear elasticity and thermo-elasticity. Mandatory computer sessions are included in the course.
The course requires 90 ECTS of which 22,5 ECTS in Calculus including a course in Multivariable Calculus, a course in Linear Algebra on basic level and a course in Numerical Methods for Partial Differential Equations on advanced level or equivalent. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
The online application opens 15 September 2022 at 13:00 CET.
Application deadline is
17 October 2022. How to apply
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.