Oberseminar Numerische Mathematik / Scientific Computing
Emmanuil Georgoulis
University of Leicester
Discontinuous Galerkin methods for mass transfer through semi-permeable membranes
Abstract:
We propose a family of Interior Penalty Discontinuous Galerkin (IP-DG) finite element methods for the solution of semilinear convection-reaction-diffusion systems on partitioned subdomains arising in the modelling of mass transfer through semi-permeable membranes. Non-linear interface conditions are imposed at the sub-domain interfaces. The problem considered is relevant to the modeling of chemical species passing through thin biological membranes. In particular, we consider applications in cellular signal transduction. The error analysis of the proposed method will be discussed in various settings. A series of numerical experiments highlight the good stability and accuracy properties of the proposed method. This is joint work with Andrea Cangiani (Leicester, UK) and Max Jensen (Durham, UK).
| Datum: | 02.05.11 | Zeit: | 17:00 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | Raum 031 im Erdgeschoss |