Cangiani, Andrea, Georgoulis, Emmanuil and Jensen, Max (2011) Discontinuous Galerkin methods for convection-diffusion problems modelling mass-transfer through semipermeable membranes. In: Congresso de Metodos Numericos em Engenharia 2011, 14-17 June 2011, Coimbra, Portugal.
Full text not available from this repository.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 modelling of chemical species passing through thin biological membranes. In particular, we consider applications in cellular signal transduction. A series of numerical experiments highlight the good stability and accuracy properties of the proposed method.
Item Type: | Conference or Workshop Item (Paper) |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics > QA0297 Numerical analysis |
Depositing User: | Max Jensen |
Date Deposited: | 19 Jun 2013 11:17 |
Last Modified: | 19 Jun 2013 11:17 |
URI: | http://srodev.sussex.ac.uk/id/eprint/45505 |