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.
The symplectic multistep method for special differential equation of the secondorder y" = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert ...
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The symplectic multistep method for special differential equation of the secondorder y" = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert & Watson, suiting themotion equations of the celestial mechanics. Obviously, we prove the Lambert’smethod possesses symplectic property. Numerical experiments are performed tothe method, and the results show that the method can preserve many inherentcharacters of the system.
In this paper, an optimal V-cycle muligrid method is presented for Q1 nonconforming element. The uniform convergence rate independent of mesh size and level is established.
In this paper, an optimal V-cycle muligrid method is presented for Q1 nonconforming element. The uniform convergence rate independent of mesh size and level is established.
A second order accurate implicit finite difference scheme CNMT2 is proposed in this paper for the unsteady incompressible Navier-Stokes equations. It is proved that the scheme is unconditionally nonlinearly stable on ...
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A second order accurate implicit finite difference scheme CNMT2 is proposed in this paper for the unsteady incompressible Navier-Stokes equations. It is proved that the scheme is unconditionally nonlinearly stable on smoothly nonuniform halfstaggered meshes; this stability also holds for this scheme with the pressure correction projection method. However, it is found that the pressure correction projection method may lead to deviation problems in practical simulation of high Re flow;the reason and the cure is given in this paper in terms of differential-algebraic equations.
In this note, using precise estimates for the regularized functionals, the upper and lower monotone approximations, in the sense of energy, of the regularized methods for the simplified contact problem with Coulumb fr...
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In this note, using precise estimates for the regularized functionals, the upper and lower monotone approximations, in the sense of energy, of the regularized methods for the simplified contact problem with Coulumb friction are presented,and a posteriori error estimate is obtained.
Large-particle (FLIC) method, presented in 1960’s, is a numerical method that be applied to solve unsteady flow. The computational scheme consists of two steps for each timemarch step: First, intermediate values are ...
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Large-particle (FLIC) method, presented in 1960’s, is a numerical method that be applied to solve unsteady flow. The computational scheme consists of two steps for each timemarch step: First, intermediate values are calculated for the velocities and energy, takinginto account the effects of acceleration caused by pressure gradients; Second transport effects are calculated. In this paper, we present a high resolution large-particle finite volumemethod for 2-D unstructured triangular mesh, the key idea of this method is monotonereconstruction of flow variables and solve "Riemann" problem in the first step. Finallythe result of the computation is
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