Lehrinhalte
Examples for partial differential equations in applications; Elliptic problems: weak formulation; analysis of elliptic variational problems; Galerkin approximation, finite element methods, error analysis; Parabolic problems: weak formulation, energy estimates, analysis; semi discretization via the Rothe's method and the method of lines;

Literature
Braess: Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie, Springer, 2013.
Larsson, Thomee: Partial Differential Equations with Numerical Methods, Springer, 2003.
Großmann, Roos: Numerische Behandlung Partieller Differentialgleichungen, Teubner, 2005.

Voraussetzungen
recommended: Introduction to Numerical Analysis, Numerical Analysis of Ordinary Differential Equations or similar knowledge as taught in an engineering programme

Semester: WT 2022/23