On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems

Author:

Griffith Boyce E.,Peskin Charles S.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference44 articles.

1. M.-C. Lai, Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method, Ph.D. thesis, Courant Institute of Mathematical Sciences, New York University, 1998

2. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity;Lai;J. Comput. Phys.,2000

3. A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid;Peskin;J. Comput. Phys.,1989

4. A three-dimensional computational method for blood flow in the heart. II. Contractile fibers;McQueen;J. Comput. Phys.,1989

5. Fluid dynamics of the heart and its valves;Peskin,1996

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