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.
In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson int...
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In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.
In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at disc...
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In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at discontinuities, but numerical solutions are acceptable in practice.
In this paper, we consider the acoustic impedance inversion problem of one dimensional wave equations. from the difference scheme of one diemsional wave equations, we derive the positive property of impulsive response...
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In this paper, we consider the acoustic impedance inversion problem of one dimensional wave equations. from the difference scheme of one diemsional wave equations, we derive the positive property of impulsive response in frequency domain,and prove that the positivity is a sufficient condition for the stability of impedance inversion.
We propose an approach to construct a C1 function on a fat surface domain, asurface that has thickness, by piecewise rational functions defined on a collection ofirregular triangular prisms. We show that the interpola...
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We propose an approach to construct a C1 function on a fat surface domain, asurface that has thickness, by piecewise rational functions defined on a collection ofirregular triangular prisms. We show that the interpolation function has algebraic precision 2. Examples that show the effectiveness of the scheme is presented.
In this paper parallel implementation issues concerning computation of a set ofrecurrences on distributed memory parallel systems are discussed. It is a commonproblem when solving partial differential equations on dis...
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In this paper parallel implementation issues concerning computation of a set ofrecurrences on distributed memory parallel systems are discussed. It is a commonproblem when solving partial differential equations on distributed memory systems,especially in computational fluid dynamics. For example, solution of a set of tri-diagonalsystems of equations or Guauss-Seidel relaxations on finite difference systems all leadto this kind of computation. We emphasize on the idea of doing the computations in apipelined fashion and we show through analysis and numerical examples that by usingproperly chosen parameters, pipelined implementation often yields much better parallelefficiency with respect to other commonly used methods.
This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on ...
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This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on the important connection between the Boltzmann equation and the Euler equations. According to the sign of the normal molecular velocity component at the surface of ally control volumes,one gives a splitting of the macroscopic flux vector, i.e. writes the macroscopic flux vector into the sum form of a positive flux and a negative flux. The initial reconstruction is applied to improve resolution of the schemes. Several numerical results are also presented to show the performance of our schemes.
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