The Department of Mathematics and Mathematical Statistics at Umeå University is opening a postdoctoral position in computational mathematics focusing on development, analysis, and implementation of cut finite element methods on time dependent domains. The project is funded by the Swedish Research Council and the research program Essence. Last day to apply: December 3, 2021. The cut finite element method (CutFEM) is a new type of embedded method for solving partial differential equations that does not require the construction of a standard mesh that conforms to the domain boundary. Instead, the boundary is allowed to cut through the elements in an arbitrary fashion, facilitating very flexible geometry descriptions that are independent of the computational mesh. Thisfeature makes cut finite element methods particularly suitable for problems where the domain is changing throughout the course of the simulation, for instance in problems with moving interfaces. Properly designed cut finite element methods have similar approximation and stability properties as standard finite element methods. In this project we will focus on development, analysis, and implementation of cut finite element methods for parabolic problems on time dependent domains. Umeå offers excellent working and living conditions. The city is young and located right next to a large river. It is surrounded by forests and lakes and lies close by the sea. In the vicinity there are plenty of opportunities for both indoor and outdoor activities. For more information and instructions on how to apply, see: https://www.umu.se/en/work-with-us/open-positions/postdoctoral-position-2-years-in-cut-finite-element-methods_448201/ |