In this paper, we propose a general path following method, in which the starting point can be any feasible interior pair and each iteration uses a step with the largest possible reduction in duality gap. The algorithm...
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In this paper, we propose a general path following method, in which the starting point can be any feasible interior pair and each iteration uses a step with the largest possible reduction in duality gap. The algorithm maintains the O (nL) ineration complexity It enjoys quadratic convergence if the optimal vertex is nondegenerate.
An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for ...
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An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for the boundary value problem, and then by using the above estimates of solutions, and the Leray-Schauder theorem, the existence and uniqueness of solutions for the proposed problem are proved.
Deals with a study which discussed the mechanical behaviour for subdivided periodic elastic structures of composite materials, from the viewpoint of macro- and meso-scale coupling. Multiscale asymptotic expansion and ...
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Deals with a study which discussed the mechanical behaviour for subdivided periodic elastic structures of composite materials, from the viewpoint of macro- and meso-scale coupling. Multiscale asymptotic expansion and truncation error estimates; Discussion on multiscale finite element method; Details of higher order difference quotients and total error estimates; Numerical experiments.
This paper deals with boundary value problems for linear uniformly elliptic systems. First the general linear uniformly elliptic system of the first order equations is reduced to complex form, and then the compound bo...
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This paper deals with boundary value problems for linear uniformly elliptic systems. First the general linear uniformly elliptic system of the first order equations is reduced to complex form, and then the compound boundary value problem for the complex equations of the first order is discussed. The approximate solutions of the boundary value problem are found by the variation-difference method, and the error estimates for the approximate solutions are derived. Finally the approximate method of the oblique derivative problem for linear uniformly elliptic equations of the second order is introduced.
Recent full hydrodynamic simulations of a sonoluminescing bubble interior have shown that the bubble content is compressed to a very dense state during the violent collapse. In this paper, we numerically studied the s...
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Recent full hydrodynamic simulations of a sonoluminescing bubble interior have shown that the bubble content is compressed to a very dense state during the violent collapse. In this paper, we numerically studied the shape stability of a radially oscillating gas bubble by using Hilgenfeldt et al. theoretical model with corrections taking into account the gas density effect. Our results show that gas density variations not only significantly suppress the Rayleigh-Taylor instability, but also enhance the threshold of the parametric instability under sonoluminescence conditions.
An extended semi-definite programming, the SDP with an additional quadratic term in the objective function, is studied. Our generalization is similar to the generalization from linear programming to quadratic programm...
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An extended semi-definite programming, the SDP with an additional quadratic term in the objective function, is studied. Our generalization is similar to the generalization from linear programming to quadratic programming. Optimal conditions for this new class of problems are discussed and a potential reduction algorithm for solving QSDP problems is presented. The convergence properties of this algorithm are also given.
Presents a study which showed how to use wavelet to discretize the boundary integral equations. Application of wavelets to signal and image processing; Kinds of boundary reduction; Sparsity of the matrices in the stan...
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Presents a study which showed how to use wavelet to discretize the boundary integral equations. Application of wavelets to signal and image processing; Kinds of boundary reduction; Sparsity of the matrices in the standard wavelet basis; Methods.
Based on a class of functions. which generalize the squared Fischer-Burmeister NCP function and have many desirable properties as the latter function has, we reformulate nonlinear complementarity problem (NCP for shor...
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Based on a class of functions. which generalize the squared Fischer-Burmeister NCP function and have many desirable properties as the latter function has, we reformulate nonlinear complementarity problem (NCP for short) as an equivalent unconstrained optimization problem, for which we propose a derivative-free descent method in monotone case. We show its global convergence under some mild conditions. If F, the function involved in NCP, is Ro－function, the optimization problem has bounded level sets. A local property of the merit function is discussed. Finally, we report some numerical results.
作者：
秦孟兆李洪伟LSEC
Institute of Computational Mathematics and Scientific/Engineering Computing the Academy of Mathematics and Systems Sciences the Chinese Academy of Sciences Beijing China
In this article, we analyze and study under what conditions a source-free system has volumepreserving RK schemes. For linear systems, we give a comparatively thorough discussion about RK methods to be phase volume pr...
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In this article, we analyze and study under what conditions a source-free system has volumepreserving RK schemes. For linear systems, we give a comparatively thorough discussion about RK methods to be phase volume preserving integrators. We also analyze the relationship between volume-preserving integrators and symplectic integrators.
The three-dimensional compressible Navier-Stokes equations are approximated by a fifth order upwind compact and a sixth order symmetrical compact difference relations combined with three-stage Ronge-Kutta method. The ...
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The three-dimensional compressible Navier-Stokes equations are approximated by a fifth order upwind compact and a sixth order symmetrical compact difference relations combined with three-stage Ronge-Kutta method. The computed results are presented for convective Mach numberMc = 0.8 andRe = 200 with initial data which have equal and opposite oblique waves. From the computed results we can see the variation of coherent structures with time integration and full process of instability, formation of A -vortices, double horseshoe vortices and mushroom structures. The large structures break into small and smaller vortex structures. Finally, the movement of small structure becomes dominant, and flow field turns into turbulence. It is noted that production of small vortex structures is combined with turning of symmetrical structures to unsymmetrical ones. It is shown in the present computation that the flow field turns into turbulence directly from initial instability and there is not vortex pairing in process of transition. It means that for large convective Mach number the transition mechanism for compressible mixing layer differs from that in incompressible mixing layer.
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