Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure
暂无分享,去创建一个
Peter Knabner | Florian Frank | Nadja Ray | N. Ray | P. Knabner | F. Frank | T. V. Noorden | Tycho van Noorden | T. Noorden
[1] Markus Schmuck,et al. Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach , 2011 .
[2] Barry Lee,et al. Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics , 2006, Math. Comput..
[3] Tycho L. van Noorden,et al. Crystal Precipitation and Dissolution in a Porous Medium: Effective Equations and Numerical Experiments , 2009, Multiscale Model. Simul..
[4] Markus Schmuck,et al. Modeling, Analysis, and Numerics in Electrohydrodynamics , 2008 .
[5] E. Weinan,et al. Analysis of the heterogeneous multiscale method for elliptic homogenization problems , 2004 .
[6] Jolanta Lewandowska,et al. On the cross-effects of coupled macroscopic transport equations in porous media , 1994 .
[7] E Weinan,et al. Heterogeneous multiscale methods: A review , 2007 .
[8] Yalchin Efendiev,et al. Multiscale Finite Element Methods: Theory and Applications , 2009 .
[9] Adrian Muntean,et al. Homogenisation of a locally periodic medium with areas of low and high diffusivity , 2011, European Journal of Applied Mathematics.
[10] J. Craggs. Applied Mathematical Sciences , 1973 .
[11] E. Sanchez-Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[12] U. Hornung. Homogenization and porous media , 1996 .
[13] Xingye Yue,et al. Numerical methods for multiscale elliptic problems , 2006, J. Comput. Phys..
[14] P. Donato,et al. An introduction to homogenization , 2000 .
[15] Márcio A. Murad,et al. A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: I Homogenization Analysis , 2006 .
[16] Menachem Elimelech,et al. Particle Deposition and Aggregation: Measurement, Modelling and Simulation , 1995 .
[17] Howard C. Elman,et al. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .
[18] Assyr Abdulle,et al. The finite element heterogeneous multiscale method: a computational strategy for multiscale PDEs , 2009 .
[19] S. Bhattacharjee,et al. Electrokinetic and Colloid Transport Phenomena , 2006 .
[20] J. Looker,et al. The electrokinetics of porous colloidal particles , 2006 .
[21] E. S. Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[22] Assyr Abdulle,et al. Finite Element Heterogeneous Multiscale Methods with Near Optimal Computational Complexity , 2008, Multiscale Model. Simul..
[23] Márcio A. Murad,et al. Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure , 2002 .
[24] E Weinan,et al. The Heterognous Multiscale Methods , 2003 .
[25] R. J. Hunter. Foundations of Colloid Science , 1987 .
[26] T. Roubíček. Nonlinear partial differential equations with applications , 2005 .
[27] Malte A. Peter,et al. Coupled reaction–diffusion processes inducing an evolution of the microstructure: Analysis and homogenization , 2009 .
[28] Peter Knabner,et al. Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system , 2012 .
[29] Kai Uwe Totsche,et al. Mobile Organic Sorbent Affected Contaminant Transport in Soil: Numerical Case Studies for Enhanced and Reduced Mobility , 2004 .
[30] P. Hood,et al. A numerical solution of the Navier-Stokes equations using the finite element technique , 1973 .
[31] Peter J. Ortoleva,et al. Geochemical Self-Organization , 1994 .
[32] Peter A. Markowich,et al. The Stationary Semiconductor Device Equations. , 1987 .
[33] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[34] Grégoire Allaire,et al. Homogenization of the linearized ionic transport equations in rigid periodic porous media , 2010 .
[35] Michael Böhm,et al. Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium , 2008 .
[36] Paolo Maria Mariano. Roubíček, T., Nonlinear partial differential equations with applications , 2007 .
[37] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[38] J. Guermond,et al. Theory and practice of finite elements , 2004 .
[39] P. Raviart,et al. A mixed finite element method for 2-nd order elliptic problems , 1977 .
[40] R. Probstein. Physicochemical Hydrodynamics: An Introduction , 1989 .
[41] Peter Knabner,et al. A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity , 2013, J. Comput. Appl. Math..
[42] Jacob H. Masliyah,et al. Electrokinetic and Colloid Transport Phenomena: Masliyah/Electrokinetic and Colloid Transport Phenomena , 2006 .
[43] Pingbing Ming,et al. Heterogeneous multiscale finite element method with novel numerical integration schemes , 2010 .