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Interval vortex methods.
- Source :
-
Numerical Methods for Partial Differential Equations . Jul2014, Vol. 30 Issue 4, p1368-1396. 29p. - Publication Year :
- 2014
-
Abstract
- By means of the integral version of vortex equation, the technique of Green's function, and the vorticity-to-velocity map, a new kind of interval methods for solving the initial-periodic boundary value problem of two-dimensional incompressible Navier-Stokes equation is introduced, which consists of both an approximate scheme and a set of pointwise intervals covering the exact solution. The convergence theorem corresponding to the scheme is proved, and the order of error width for the two-sided bounds is also considered. Finally, a simple numerical example illustrates our corroboration. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1368-1396, 2014 [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 30
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 95751780
- Full Text :
- https://doi.org/10.1002/num.21874