Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling (Q2279845)
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| Language | Label | Description | Also known as |
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| English | Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling |
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Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling (English)
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16 December 2019
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The authors propose a type of mixed finite element method to solve the Poisson-Nernst-Planck/Stokes coupling problem -- typically adopted to model charged fluids through the transport coupling between the Stokes equations of an incompressible fluid and the Poisson-Nernst-Planck (PNP) equations of a diffuse charge system. They perform an a priori error analysis and show simulation results with the expected quality.
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Poisson-Nernst-Planck/Stokes coupling
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mixed finite element method
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Taylor-Hood element
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semi-discretization
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full discretization
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the optimal error estimate
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