# Scientific Computing: hp-FEM methods, part 2

Finite element methods (FEM) are one of the most commonly used techniques for obtaining numerical solutions to partial differential equations on non trival domains. The given domain is subdivided into simple geometric objects and an approximate solution is computed as a linear combination of locally supported basis functions. Starting from a variational formulation of the partial differential equation the discretization yields a system of linear equations that is usually solved using iterative methods. The performance of the iterative solvers is closely related to the choice of basis functions. For problems with smooth solutions, the speed of convergence can be considerably accelerated if as basis polynomials of higher degree are chosen (high order FEM), i.e., the p- and hp-version of FEM respectively.

This lecture is the second part of a lecture on higher order finite element methods. The first part was held by Veronika Pillwein in 2010W. If you attended the first lecture, it is recommended to visit the second part as well. In this case there is the option to get grades for both lectures by submitting a project (practical and theoretical application of the content).

lecturer: Sven Beuchler

coordinates: 2011S, 1 hour

**time:** blocked lecture every Wednesday in March;** 2 March 2011 - 30 March 2011, 13:45 - 17:00 **

**location: JKU campus, T112**