Implicit second-order immersed boundary methods with boundary mass

[1]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[2]  L. Fauci,et al.  A computational model of aquatic animal locomotion , 1988 .

[3]  A. Fogelson,et al.  A fast numerical method for solving the three-dimensional Stokes' equations in the presence of suspended particles , 1988 .

[4]  P. Sonneveld.  CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems , 1989 .

[5]  A. Chorin.  Numerical Solution of the Navier-Stokes Equations* , 1989 .

[6]  Alexandre Joel Chorin,et al.  On the Convergence of Discrete Approximations to the Navier-Stokes Equations* , 1989 .

[7]  L. Fauci.  Interaction of oscillating filaments: a computational study , 1990 .

[8]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[9]  J. P. Beyer.  A computational model of the cochlea using the immersed boundary method , 1992 .

[10]  Charles S. Peskin,et al.  Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods , 1992, SIAM J. Sci. Comput..

[11]  A. Fogelson,et al.  Truncated newton methods and the modeling of complex immersed elastic structures , 1993 .

[12]  Anita Mayo,et al.  An implicit numerical method for fluid dynamics problems with immersed elastic boundaries , 1993 .

[13]  S. Green,et al.  Simulating the Motion of Flexible Pulp Fibres Using the Immersed Boundary Method , 1998 .

[14]  Aaron L. Fogelson,et al.  Computational Methods for Continuum Models of Platelet Aggregation , 1999 .

[15]  B. Wetton,et al.  Analysis of Stiffness in the Immersed Boundary Method and Implications for Time-Stepping Schemes , 1999 .

[16]  M. Lai,et al.  An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity 1 , 2000 .

[17]  M. Lai,et al.  An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity , 2000 .

[18]  Charles S. Peskin,et al.  Two-Dimensional Simulations of Valveless Pumping Using the Immersed Boundary Method , 2001, SIAM J. Sci. Comput..

[19]  Charles S. Peskin,et al.  Fluid Flow in Collapsible Elastic Tubes: A Three-Dimensional Numerical Model , 2001 .

[20]  C. Peskin,et al.  Heart Simulation by an Immersed Boundary Method with Formal Second-order Accuracy and Reduced Numerical Viscosity , 2001 .

[21]  C. Peskin,et al.  Simulation of a Flapping Flexible Filament in a Flowing Soap Film by the Immersed Boundary Method , 2002 .

[22]  C. Peskin.  The immersed boundary method , 2002, Acta Numerica.

[23]  L. Fauci,et al.  A computational model of the collective fluid dynamics of motile micro-organisms , 2002, Journal of Fluid Mechanics.

[24]  The penalty immersed boundary method and its application to aerodynamics , 2003 .

[25]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[26]  Yongsam Kim,et al.  On various techniques for computer simulation of boundaries with mass , 2003 .

[27]  E. Givelberg.  Modeling elastic shells immersed in fluid , 2003 .

[28]  John M. Stockie,et al.  Parametric Resonance in Immersed Elastic Boundaries , 2004, SIAM J. Appl. Math..

[29]  C. Peskin,et al.  When vortices stick: an aerodynamic transition in tiny insect flight , 2004, Journal of Experimental Biology.

[30]  Robert Dillon,et al.  Simulation of swimming organisms: coupling internal mechanics with external fluid dynamics , 2004, Computing in Science & Engineering.

[31]  Charles S. Peskin,et al.  Simulations of the Whirling Instability by the Immersed Boundary Method , 2004, SIAM J. Sci. Comput..

[32]  C. Peskin,et al.  A computational fluid dynamics of `clap and fling' in the smallest insects , 2005, Journal of Experimental Biology.

[33]  L. Heltai,et al.  Stability results for the finite element approach to the immersed boundary method , 2005 .

[34]  L. Heltai,et al.  The finite element immersed boundary method: model, stability, and numerical results , 2005 .

[35]  Boyce E. Griffith,et al.  On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems , 2005 .

[36]  X. Sheldon Wang,et al.  From Immersed Boundary Method to Immersed Continuum Methods , 2006 .

[37]  X. Sheldon Wang,et al.  From Immersed Boundary Method to Immersed Continuum Method , 2006 .

[38]  Robert Michael Kirby,et al.  Unconditionally stable discretizations of the immersed boundary equations , 2007, J. Comput. Phys..