Partial Differential Equations and the Finite Element Method

Education facts

Code: MAAD20

Weak derivatives and Sobolev space. Compactness. Embedding and trace theorems. Weak formulations and weak solutions to elliptic partial differential equations. Lax-Milgram's lemma. Existence and uniqueness in weak solutions. Weak maximum principles. Finite element method. Ritz projections. Derivation of a priori and a posteriori error estimations with explicit convergence speed. Students carry out an individual project.

Entry requirements

90 ECTS credits in Mathematics and upper secondary level English 6 or B, or equivalent

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.

• Partial Differential Equations and the Finite Element Method

  Karlstad University

  Karlstad

  Start date: 31 August 2026

  End date: 17 January 2027

  Pace of study: 25 %