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@article{Guy2015GeometricMF, title={Geometric multigrid for an implicit-time immersed boundary method}, author={Robert D. Guy and Bobby Philip and Boyce E. Griffith}, journal={Advances in Computational Mathematics}, year={2015}, volume={41}, pages={635-662} }

- Published in Adv. Comput. Math. 2015
DOI:10.1007/s10444-014-9380-1

The immersed boundary (IB) method is an approach to fluid-structure interaction that uses Lagrangian variables to describe the deformations and resulting forces of the structure and Eulerian variables to describe the motion and forces of the fluid. Explicit time stepping schemes for the IB method require solvers only for Eulerian equations, for which fast Cartesian grid solution methods are available. Such methods are relatively straightforward to develop and are widely used in practice but… CONTINUE READING