A numerical method for simulating the dynamics of 3D axisymmetric vesicles suspended in viscous flows
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George Biros | Denis Zorin | Shravan K. Veerapaneni | Denis Gueyffier | D. Zorin | G. Biros | S. Veerapaneni | D. Gueyffier
[1] C. Pozrikidis,et al. Interfacial dynamics for Stokes flow , 2001 .
[2] U. Seifert,et al. Influence of shear flow on vesicles near a wall: A numerical study. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Thomas Podgorski,et al. Deformation of vesicles flowing through capillaries , 2004 .
[4] Seifert,et al. Fluid Vesicles in Shear Flow. , 1996, Physical review letters.
[5] Lin Ma,et al. Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics , 2007, J. Comput. Phys..
[6] C. Pozrikidis. Axisymmetric motion of a file of red blood cells through capillaries , 2005 .
[7] M I Bloor,et al. Method for efficient shape parametrization of fluid membranes and vesicles. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[8] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[9] C. Pozrikidis,et al. Effect of membrane bending stiffness on the deformation of capsules in simple shear flow , 2001, Journal of Fluid Mechanics.
[10] M. Kropinski. An efficient numerical method for studying interfacial motion in two-dimensional creeping flows , 2001 .
[11] Leslie Greengard,et al. A fast multipole method for the three-dimensional Stokes equations , 2008, J. Comput. Phys..
[12] F. Campelo,et al. Dynamic model and stationary shapes of fluid vesicles , 2006, The European physical journal. E, Soft matter.
[13] Luiz C. Wrobel,et al. Boundary Integral Methods in Fluid Mechanics , 1995 .
[14] Michael Shelley,et al. Simulating the dynamics and interactions of flexible fibers in Stokes flows , 2004 .
[15] L. Trefethen. Spectral Methods in MATLAB , 2000 .
[16] Andrei Ludu. Nonlinear Waves and Solitons on Contours and Closed Surfaces , 2007 .
[17] Seifert,et al. Shape transformations of vesicles: Phase diagram for spontaneous- curvature and bilayer-coupling models. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[18] V. Rovenski,et al. Differential Geometry of Curves and Surfaces: A Concise Guide , 2005 .
[19] Q. Du,et al. A phase field approach in the numerical study of the elastic bending energy for vesicle membranes , 2004 .
[20] Jian Zhang,et al. Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations , 2008, SIAM J. Sci. Comput..
[21] George Biros,et al. A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D , 2009, J. Comput. Phys..
[22] Alex Solomonoff,et al. Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique , 1997, SIAM J. Sci. Comput..
[23] Udo Seifert,et al. Configurations of fluid membranes and vesicles , 1997 .
[24] Steven J. Ruuth,et al. Implicit-explicit methods for time-dependent partial differential equations , 1995 .
[25] Uri M. Ascher,et al. Computer methods for ordinary differential equations and differential-algebraic equations , 1998 .
[26] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[27] Feng Feng,et al. Finite element modeling of lipid bilayer membranes , 2006, J. Comput. Phys..
[28] Bradley K. Alpert,et al. Hybrid Gauss-Trapezoidal Quadrature Rules , 1999, SIAM J. Sci. Comput..