A Comparison of Implicit Solvers for the Immersed Boundary Equations
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Robert M. Kirby | Aaron L. Fogelson | Elijah P. Newren | Robert D. Guy | A. Fogelson | R. Kirby | R. Guy
[1] M. Minion,et al. The Blob Projection Method for Immersed Boundary Problems , 2000 .
[2] C. Peskin,et al. Implicit second-order immersed boundary methods with boundary mass , 2008 .
[3] Xiaoliang Wan,et al. Comput. Methods Appl. Mech. Engrg. , 2010 .
[4] C. Peskin. Numerical analysis of blood flow in the heart , 1977 .
[5] C. Peskin,et al. A computational fluid dynamics of `clap and fling' in the smallest insects , 2005, Journal of Experimental Biology.
[6] J. B. Perot,et al. An analysis of the fractional step method , 1993 .
[7] Anita Mayo,et al. An implicit numerical method for fluid dynamics problems with immersed elastic boundaries , 1993 .
[8] C. Peskin. The immersed boundary method , 2002, Acta Numerica.
[9] John B. Bell,et al. Approximate Projection Methods: Part I. Inviscid Analysis , 2000, SIAM J. Sci. Comput..
[10] X. Sheldon Wang,et al. An iterative matrix-free method in implicit immersed boundary/continuum methods , 2007 .
[11] Randall J. LeVeque,et al. Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension , 1997, SIAM J. Sci. Comput..
[12] M. Berger,et al. An Adaptive Version of the Immersed Boundary Method , 1999 .
[13] B. Wetton,et al. Analysis of Stiffness in the Immersed Boundary Method and Implications for Time-Stepping Schemes , 1999 .
[14] Gretar Tryggvason,et al. An Adaptive, Cartesian, Front-Tracking Method for the Motion, Deformation and Adhesion of Circulating Cells , 1998 .
[15] Boo Cheong Khoo,et al. An Immersed Interface Method for the Incompressible Navier--Stokes Equations with Discontinuous Viscosity Across the Interface , 2009, SIAM J. Sci. Comput..
[16] C. Peskin,et al. A three-dimensional computational method for blood flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid , 1989 .
[17] A. Fogelson. A MATHEMATICAL MODEL AND NUMERICAL METHOD FOR STUDYING PLATELET ADHESION AND AGGREGATION DURING BLOOD CLOTTING , 1984 .
[18] J. P. Beyer. A computational model of the cochlea using the immersed boundary method , 1992 .
[19] Robert Michael Kirby,et al. Unconditionally stable discretizations of the immersed boundary equations , 2007, J. Comput. Phys..
[20] Jie Shen,et al. An overview of projection methods for incompressible flows , 2006 .
[21] L. Heltai,et al. Stability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method , 2006 .
[22] M. Minion,et al. Accurate projection methods for the incompressible Navier—Stokes equations , 2001 .
[23] C. Peskin,et al. When vortices stick: an aerodynamic transition in tiny insect flight , 2004, Journal of Experimental Biology.
[24] Charles S. Peskin,et al. Modeling prosthetic heart valves for numerical analysis of blood flow in the heart , 1980 .
[25] A. Fogelson,et al. Truncated newton methods and the modeling of complex immersed elastic structures , 1993 .
[26] 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..
[27] Robert Dillon,et al. Modeling Biofilm Processes Using the Immersed Boundary Method , 1996 .
[28] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[29] L. Fauci,et al. A computational model of aquatic animal locomotion , 1988 .
[30] Randall J. LeVeque,et al. An Immersed Interface Method for Incompressible Navier-Stokes Equations , 2003, SIAM J. Sci. Comput..
[31] Boyce E. Griffith,et al. On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems , 2005 .