In this paper, based on the study of [1], the discretizations of the coupling of finite elemellt and boundary integral are presented to solve the initial boundary value problem of parabolic partial differential equati...
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In this paper, based on the study of [1], the discretizations of the coupling of finite elemellt and boundary integral are presented to solve the initial boundary value problem of parabolic partial differential equation defined on an unbounded *** semi-discrete scheme and fully discrete scheme are given, and stability theorem and error estimates, which correspond to discrete scheme respectively,are ***,the numerical example is provided,and numerical result shows that the method is feasible and effective.
A subspace search method for solving quadratic programming with box constraints is presented in this paper. The original problem is divided into many independent subproblem at an initial point, and a search direction ...
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A subspace search method for solving quadratic programming with box constraints is presented in this paper. The original problem is divided into many independent subproblem at an initial point, and a search direction is obtained by solving each of the subproblem, as well as a new iterative point is determined such that the value of objective function is decreasing. The convergence of the algorithm is proved under certain assumptions, and the numerical results are also given.
This paper established a multiresolution analysis of two-dimension seperable differential operator spline with non-polynomial type in the reproducing space H1 (R)H1 (R) )realized the expansion of function according to...
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This paper established a multiresolution analysis of two-dimension seperable differential operator spline with non-polynomial type in the reproducing space H1 (R)H1 (R) )realized the expansion of function according to the system of Dyadic extension andtranslation, and its coefficients of expansion was demonstrated by the value of functionaccurately. Moreover, this paper provided reasonable approach and efficient methodfor extending the theory of two-dimension operator spline with non-polynomial type.
In this note, we point out that two generalized conforming triangular plate elements, namely GCⅢ-T9 and GCⅡ-T9, proposed in references [2] and [4], are identical to the familiar Specht element[3]. Moreover, another ...
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In this note, we point out that two generalized conforming triangular plate elements, namely GCⅢ-T9 and GCⅡ-T9, proposed in references [2] and [4], are identical to the familiar Specht element[3]. Moreover, another generalized conformingelement in reference [6] is proved to be equivalent to VZ1 element in [8].
in this paper, for the mixed finite element methods of Stokes problem, such as the mini element and the scecon cider scheme, we present the numerical quadratures, which are independent of the bubble term. The effect a...
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in this paper, for the mixed finite element methods of Stokes problem, such as the mini element and the scecon cider scheme, we present the numerical quadratures, which are independent of the bubble term. The effect and a posteriori error estimate under the numerical quadrature are considered.
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.
Explicit expressions of the Cotes numbers of the generalized Gaussian quadrature formulas for the Chebyshev nodes (of the first kind and the second kind) and their asymptotic behavior are given.
Explicit expressions of the Cotes numbers of the generalized Gaussian quadrature formulas for the Chebyshev nodes (of the first kind and the second kind) and their asymptotic behavior are given.
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