Colloquium: Cut finite element methods
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Häggsalen
- Lecturer: Sara Zahedi, EMS Prize 2016
- Contact person: Fiona Skerman
In this talk I will present a new type of finite element methods that we refer to as Cut Finite Element Methods (CutFEM). CutFEM provides an efficient strategy for solving partial differential equations in evolving geometries. We will consider simulations of two-phase flow problems. CutFEM allows interfaces separating immiscible fluids to cut through a background mesh in an arbitrary fashion and hence re-meshing processes are avoided while giving optimal convergence order. Stabilization terms are added to the weak formulation to guarantee that the linear systems resulting from the method have bounded condition numbers independently of how the geometry cuts through the background mesh.