An efficient and robust pressure correction projection method with the CNMT1 finitedifference scheme is presented in this paper for the numerical solution of the incompressible Navier-Stokes equations. It is proved th...
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An efficient and robust pressure correction projection method with the CNMT1 finitedifference scheme is presented in this paper for the numerical solution of the incompressible Navier-Stokes equations. It is proved that on fixed spatial grids the method is of secondorder global accuracy in time; this is confirmed with numerical experiment on an examplewith an exact solution. Then the method is used for numerical simulation of the drivencavity flow problems; the asymptotic periodic solution for Re=10000 is preseated.
In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advanta...
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In this paper, baized on the natural boudary reduction suggested by Feng and Yu, an overlapping domain decomposition method for biharmonic boundary value problems over unbounded domains is presented. By taking advantage of the map ping theory, the geometric convergence of the continuous problems is proved. The numerical examples show that the convergence rate of this Schwarz iteration is in dependent of the finite element mesh size basicly, but dependent on the frequency of the real solution and the overlapping degree of subdomains.
We present an efficient algorithm to model a collection of scattered functional data on a given smooth surface D in three dimensional real space by a C1 piecewise trivariate rational function F over a collection of te...
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We present an efficient algorithm to model a collection of scattered functional data on a given smooth surface D in three dimensional real space by a C1 piecewise trivariate rational function F over a collection of tetrahedra that contains D.
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