Date: Friday, 09.01, 13:15–14:00
Speaker: Patrick Henning, Münster
Title: The Localized Orthogonal Decomposition method with applications to Bose-Einstein condensation
In this talk we present the methodology of a Localized Orthogonal Decomposition (LOD) which is a scheme for solving partial differential equations. The scheme is based on finite element discretizations on two different scales of numerical resolution and involves the construction of a low-dimensional (coarse) generalized finite element space that exhibits high approximation properties. After giving a general introduction into the method, we present an application in quantum physics, namely the computation of ground states of so called Bose-Einstein condensates. Such condensates are ultra-cold gases which exhibit remarkable properties such as superfluidity (i.e. a frictionless flow).