The Finite Element Method

Education facts

Code: 5MA176

The course consists of two elements. Element 1 (4 credits): *Theory.* This course focuses on finite element methods (FEM) for the numerical solution of linear and nonlinear partial differential equations (PDE). The most important finite elements are introduced, 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. Element 2 (3.5 credits): *Computer lab work.* Implementation of FEM and examples of its applications in real world problems is treated in mandatory computer sessions.

Entry requirements

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.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• The Finite Element Method

  Umeå University

  Start date: 25 March 2027

  End date: 6 June 2027

  Pace of study: 50 %