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.