Computational and Theoretical Aspects of Nonlinear Partial Differential Equations
Final rept. 10 Feb 1987-9 Feb 1991
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This research centered around three topics in computational fluid dynamics. These were schemes for the time dependent Navier Stokes equations, improved methods for the steady Navier-Stokes equations, and domain decomposition methods. In the original proposal, the domain decomposition methods were referred to as overlapping grid methods. All of these topics are coupled to the development faster algorithms for solving the systems of indefinite linear equations that arise from discretizations of the Navier Stokes equations. Significant results have been obtained in all of these areas.
- Numerical Mathematics
- Fluid Mechanics