The Finite Element Method 7.5 credits

About the course

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.

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Spring 2027
- The Finite Element Method
  
  Second admissions round for EU/EEA citizens
  
  VT27 / Umeå / English / On site
  
  Application opens 15 September 2026
  
  Save education at universityadmissions.se
  
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  Starts
  25 March 2027
  
  Ends
  6 June 2027
  
  Number of credits
  7.5 credits
  
  Type of studies
  On site
  
  Study pace
  50%
  
  Teaching hours
  Daytime
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-58003
  
  Eligibility
  
  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.
  
  Selection
  
  Guaranteed place
  
  Application
  The online application opens 15 September 2026 at 09:00 CET. Application deadline is 15 October 2026. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  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.
  
  Application fee: SEK 900
  
  Tuition fee, first instalment: SEK 19,038
  
  Total fee: SEK 19,038
  
  Details about tuition, fees and funding

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