In this paper,we present a generalized Peierls-Nabarro model for curved dislocations using the discrete Fourier *** our model,the total energy is expressed in terms of the disregistry at the discrete lattice sites on ...
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In this paper,we present a generalized Peierls-Nabarro model for curved dislocations using the discrete Fourier *** our model,the total energy is expressed in terms of the disregistry at the discrete lattice sites on the slip plane,and the elastic energy is obtained efficiently within the continuum framework using the discrete Fourier *** model directly incorporates into the total energy both the Peierls energy for the motion of straight dislocations and the second Peierls energy for kink *** discreteness in both the elastic energy and the misfit energy,the full long-range elastic interaction for curved dislocations,and the changes of core and kink profiles with respect to the location of the dislocation or the kink are all included in our *** model is presented for crystals with simple cubic *** results on the dislocation structure,Peierls energies and Peierls stresses of both straight and kinked dislocations are *** results qualitatively agree with those from experiments and atomistic simulations.
PHG (parallel hierarchical grid) is a scalable parallel adaptive finite element toolbox under active developmentat the State Key Laboratory of scientific and engineeringcomputing, Chinese Academy of Sciences. This pa...
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PHG (parallel hierarchical grid) is a scalable parallel adaptive finite element toolbox under active developmentat the State Key Laboratory of scientific and engineeringcomputing, Chinese Academy of Sciences. This paper demonstrates its application to adaptive finite element computations of electromagnetic problems. Two examples on solving the time harmonic Maxwell's equations are shown. Results of some large scale adaptive finite element simulations with up to 1 billion degrees of freedom and using up to 2048 CPUs are presented.
We have developed a new strategy and espouse a novel paradigm for large-scale computing and real-time interactive visualization. This philosophy calls for intense interactive sessions for a couple of hours at a time a...
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In this paper, grammian solutions of Ishimori-(I) (Ish-(I)) equation are firstly obtained by Hirota's direct *** the source generation procedure is utilized to generate the Ishimori-(I) equation with self-cons...
In this paper, grammian solutions of Ishimori-(I) (Ish-(I)) equation are firstly obtained by Hirota's direct *** the source generation procedure is utilized to generate the Ishimori-(I) equation with self-consistent sources (Ish-(I) ESCS) and its grammian solutions are *** a simple example, the (1, 1) dromion solution is examined.
In this paper, a general expression of the 3D hybrid imaging method based on acoustic wavefield extrapolation is presented. Moreover, the planewave synthesization method is given. The numerical results of 3D shot-prof...
In this paper, we investigate the quadratic approximation methods. After studying the basic idea of simplex methods, we construct several new search directions by combining the local information progressively obtained...
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In this paper, we investigate the quadratic approximation methods. After studying the basic idea of simplex methods, we construct several new search directions by combining the local information progressively obtained during the iterates of the algorithm to form new subspaces. And the quadratic model is solved in the new subspaces. The motivation is to use the information disclosed by the former steps to construct more promising directions. For most tested problems, the number of functions evaluations have been reduced obviously through our algorithms.
作者：
Wei-nan EPing-bing MingDepartment of Mathematics and PACM
Princeton University LSEC
Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China
We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature. We establish sharp criterion for the regime of validity of the nonlinear elastic wave equations derived from th...
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We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature. We establish sharp criterion for the regime of validity of the nonlinear elastic wave equations derived from the well-known Cauchy-Born rule.
For large sparse system of linear equations with a non-Hermitian positive definite coefficient matrix, we review the recently developed Hermitian/skew-Hermitian splitting (HSS) iteration, normal/skew-Hermitian splitti...
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In this paper,the zero-temperature string method and the nudged elastic band method for computing the transition paths and transition rates between metastable states are *** stability,accuracy as well as computational...
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In this paper,the zero-temperature string method and the nudged elastic band method for computing the transition paths and transition rates between metastable states are *** stability,accuracy as well as computational cost of the two methods are *** results are verified by numerical experiments.
作者：
Pingbing, MingPingwen, ZhangLSEC
Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences Beijing 100080 No. 55 Zhong-Guan-Cun East Road China LMAM
School of Mathematical Sciences Peking University Beijing 100871 China
The heterogeneous multiscale method (HMM) is applied to various parabolic problems with multiscale coefficients. These problems can be either linear or nonlinear. Optimal estimates are proved for the error between the...
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