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Short Note: An immersed boundary method for restricted diffusion with permeable interfaces

Published: 01 August 2009 Publication History

Abstract

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References

[1]
Arthurs, K.M., Moore, L.C., Peskin, C.S., Pitman, E.B. and Layton, H.E., Modeling arteriolar flow and mass transport using the immersed boundary method. J. Comput. Phys. v147. 402-440.
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Gong, Z.X., Huang, H. and Lu, C., Stability analysis of the immersed boundary method for a two-dimensional membrane with bending rigidity. Commun. Comput. Phys. v3. 704-723.
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Keener, J. and Sneyd, J., Mathematical Physiology. 1998. Springer-Verlag, NY.
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Kim, Y. and Peskin, C.S., 2-D parachute simulation by the immersed boundary method. SIAM J. Sci. Comput. v28 i6. 2294-2312.
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Layton, A.T., Modeling water transport across elastic boundaries using an explicit jump method. SIAM J. Sci. Comput. v28 i6. 2189-2207.
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LeVeque, R.J. and Li, Z., The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. v31. 1019-1044.
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Madhusudana, C.V., Thermal Contact Conductance. 1996. Springer.
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Mittal, R., Immersed boundary methods. Ann. Rev. Fluid Mech. v37. 239-261.
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C.S. Peskin, Flow Patterns Around Heart Valves, Ph.D. Thesis, Albert Einstein College of Medicine, 1972.
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Peskin, C.S., Flow patterns around heart valves: a numerical method. J. Comput. Phys. v10. 252-271.
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Peskin, C.S., The immersed boundary method. Acta Numer. v11. 479-518.
[12]
J.M. Stockie, Modelling and simulation of porous immersed boundaries, Comput. Struct., in press.
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Stockie, J.M. and Wetton, B.R., Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes. J. Comput. Phys. v154. 41-64.

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  1. Short Note: An immersed boundary method for restricted diffusion with permeable interfaces

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        Published In

        cover image Journal of Computational Physics
        Journal of Computational Physics  Volume 228, Issue 15
        August, 2009
        306 pages

        Publisher

        Academic Press Professional, Inc.

        United States

        Publication History

        Published: 01 August 2009

        Author Tags

        1. Immersed boundary method
        2. Permeable interface
        3. Restricted diffusion

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