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Discontinuous Galerkin methods for convection-diffusion problems modelling mass-transfer through semipermeable membranes
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posted on 2023-06-08, 15:16 authored by Andrea Cangiani, Emmanuil Georgoulis, Max JensenWe 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.
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- Published
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- paper
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Congresso de Metodos Numericos em Engenharia 2011Event location
Coimbra, PortugalEvent type
conferenceEvent date
14-17 June 2011Department affiliated with
- Mathematics Publications
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- No
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- Yes
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2013-06-19Usage metrics
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