Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems
DOI10.1007/s00791-013-0189-0zbMath1358.76070OpenAlexW2071216096MaRDI QIDQ520458
Nadja Ray, Florian Frank, Peter Knabner
Publication date: 3 April 2017
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-013-0189-0
homogenizationmixed finite elementsporous medianumerical simulationtwo-scale convergencecolloidal transportStokes/Darcy-Nernst-Planck-Poisson system
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)
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Cites Work
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- Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach
- Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system
- Homogenization of long-range auxin transport in plant tissues
- Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Homogenization of reticulated structures
- Interior error estimate for periodic homogenization
- Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure
- Theory and practice of finite elements.
- Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain
- Homogenization and porous media
- Numerical methods for multiscale elliptic problems
- Incompressible ionized fluid mixtures
- First error bounds for the porous media approximation of the Poisson-Nernst-Planck equations
- Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures
- Crystal Precipitation and Dissolution in a Porous Medium: Effective Equations and Numerical Experiments
- Multiscale Finite Element Methods
- Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
- Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Analysis of a Two-Scale Phase Field Model for Liquid-Solid Phase Transitions with Equiaxed Dendritic Microstructure
- Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system
- Homogenization of the linearized ionic transport equations in rigid periodic porous media
- ANALYSIS OF THE NAVIER–STOKES–NERNST–PLANCK–POISSON SYSTEM
- Applied Computational Fluid Dynamics Techniques
- Finite Difference Approximation of Homogenization Problems for Elliptic Equations
- Nonlinear partial differential equations with applications