Discontinuous Galerkin Methods for Convection-diffusion Problems Modelling Mass-transfer through Semipermeable Membranes
نویسندگان
چکیده
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 semipermeable 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.
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Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes
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