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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.

Progressive specialisation: A1N (has only first‐cycle course/s as entry requirements)

Education level: Master's level

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.