Discontinuous Galerkin methods for convection-diffusion problems modelling mass-transfer through semipermeable membranes

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.

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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)
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://sro.sussex.ac.uk/id/eprint/45505
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