Truncated newton methods and the modeling of complex immersed elastic structures
- 1 July 1993
- journal article
- research article
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 46 (6) , 787-818
- https://doi.org/10.1002/cpa.3160460602
Abstract
Truncated Newton minimization methods are combined with Peskin's immersed boundary method to facilitate investigation of the dynamic interaction between a viscous, incompressible fluid and immersed elastic objects of complex structure. Applications to aquatic animal locomotion and platelet aggregation during blood clotting are presented. © 1993 John Wiley & Sons, Inc.Keywords
This publication has 23 references indexed in Scilit:
- TNPACK—a truncated Newton minimization package for large-scale problemsACM Transactions on Mathematical Software, 1992
- TNPACK—A truncated Newton minimization package for large-scale problemsACM Transactions on Mathematical Software, 1992
- A three-dimensional computational method for blood flow in the heart. II. contractile fibersJournal of Computational Physics, 1989
- A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluidJournal of Computational Physics, 1989
- A computational model of aquatic animal locomotionJournal of Computational Physics, 1988
- A powerful truncated Newton method for potential energy minimizationJournal of Computational Chemistry, 1987
- A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clottingJournal of Computational Physics, 1984
- Swimming mechanisms in nereidiform polychaetesJournal of Zoology, 1970
- Numerical solution of the Navier-Stokes equationsMathematics of Computation, 1968
- Analysis of the swimming of long and narrow animalsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952