Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes

DOI10.1016/j.apnum.2014.06.007zbMath1336.65162OpenAlexW1990969719MaRDI QIDQ268827

Andrea Cangiani, Max Jensen, Emmanuil H. Georgoulis

Publication date: 15 April 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://sro.sussex.ac.uk/id/eprint/49138/1/1-s2.0-S0168927414001081-main.pdf

zbMATH Keywords

semilinear parabolic problemsmass transfererror boundsdiscontinuous Galerkin methodsnumerical experimentadvection-diffusion-reaction equationfast reactionsinterface modellingnonlinear interface conditionssemi-permeable membranes

Mathematics Subject Classification ID

Related Items (4)

Adaptive discontinuous Galerkin methods for elliptic interface problems ⋮ Multi-region finite element modelling of drug release from hydrogel based ophthalmic lenses ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ A spatial model of cellular molecular trafficking including active transport along microtubules

Cites Work

• Unnamed Item
• A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
• Optimal a priori estimates for higher order finite elements for elliptic interface problems
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Optimal a priori estimates for interface problems
• A spatial model of cellular molecular trafficking including active transport along microtubules
• Implicit-explicit multistep methods for quasilinear parabolic equations
• Approximation of the velocity by coupling discontinuous Galerkin and mixed finite element methods for flow problems
• The finite element method for elliptic equations with discontinuous coefficients
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes
• Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
• Finite Difference Discretizations of Some Initial and Boundary Value Problems with Interface
• Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
• $hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
• Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
• A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
• Compact embeddings of broken Sobolev spaces and applications
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Raytcho Lazarov - 60
• Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls
• Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
• ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES
• A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems
• On the coupling of local discontinuous Galerkin and conforming finite element methods

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