|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Cascadic multigrid methods for parabolic problems显示文摘In this paper,we consider the cascadic multigrid method for a parabolic type equation.Backward Euler approximation in time and linear finite element approximation in space are employed.A stability result is established under some conditions on the smoother.Using new and sharper estimates for the smoothers that reflect the precise dependence on the time step and the spatial mesh parameter,these conditions are verified for a number of popular smoothers.Optimal error bound sare derived for both smooth and non-smooth data.Iteration strategies guaranteeing both the optimal accuracy and the optimal complexity are presented. | DU Qiang MING PingBing | 2008 | Science China Mathematics2008，51，8： | 7 |
| 2 | NONCONFORMING QUADRILATERAL ROTATED ELEMENT FOR REISSNER-MINDLIN PLATE显示文摘In this paper,we extend two rectangular elements for Reissner-Mindlin plate[9] to the quadrilateral case,Optimal H^1 and L^2 error bounds independent of the plate hickness are derived under a mild assumption on the mesh partition. | Jun Hu Pingbing Ming Zhongci Shi (Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing 100080, China) | 2003 | Journal of Computational Mathematics2003，21，1： | 7 |
| 3 | QUADRILATERAL MESH显示文摘Several quadrilateral shape regular mesh conditions commonly used in the finite element method are proven to be equivalent. Their influence on the finite element interpolation error and the consistency error committed by nonconforming finite elements are investigated. The effect of the Bi-Section Condition and its extended version (1+α)-Section Condition on the degenerate mesh conditions is also checked. The necessity of the Bi-Section Condition in finite elements is underpinned by means of counterexamples. | MING PINGBING SHI ZHONGCI | 2002 | Chinese Annals of Mathematics,Series B2002，23，2： | 6 |
| 4 | GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION显示文摘鬼力量引起的错误在二种尺寸与平面接口为一个 quasicontinuum 方法被学习。为一种特殊情况,我们导出错误的分析表情,它被利用证明鬼力量可以为答案的坡度导致一个有限尺寸错误。错误指数地为腐烂离开接口的错误代数学地腐烂离开接口的错误表演的 pointwise 估计,比 onedimensional 问题的慢得多,。 | Jingrun Chen Pingbing Ming | 2012 | Journal of Computational Mathematics2012，30，6： | 2 |
| 5 | Responses of the magnetotail plasma sheet to two interplanetary shocks:TC-1 observations显示文摘Two interplanetary shocks are examined to determine the responses of the magnetic field and plasma in the plasma sheet upon the shock impacts by using TC-1 observational data.The two shocks are observed by WIND on November 7,2004.Prior to and after the shock,the IMF is either weakly southward or northward.The responses of the plasma sheet to the two shocks are intense and much similar.When the shock interacts with the magnetosphere,the magnetic field impulsively increases 1-2 min after the geomagnetic field sudden impulse (SI) judged from the Sym-H index change,and the magnetic field line is stretched.On the other hand,all of the ion density,the ion temperature,and the velocity of ion flow in the plasma sheet increase.Interestingly,quasi-periodical oscillations of the ion flow are suddenly enhanced,and the plasma flow is basically perpendicular to the local magnetic field.The responses of the magnetic field and the plasma are nearly simultaneous.The responses in the plasma sheet are probably caused by the lateral compression due to the dynamic pressure enhancement downstream the shock when the shock propagates antisunward in the magnetosheath. | YAO Li ZUO PingBing FENG XueShang LIU ZhenXing | 2010 | Chinese Science Bulletin2010，55，6： | 2 |
| 6 | Observations of the field-aligned residual flow inside magnetic cloud structure显示文摘In this paper,we report two MC events observed by WIND spacecraft with good examples of fieldaligned residual flow inside the MC structure. For both events,the co-moving frames are determined through the deHoffman-Teller (HT) analysis and the axial orientations are inferred by the newly developed minimal residue (MR) method. The nature coordinate system for both events are constructed with velocity of the HT frame and the inferred MC axis,the field and flow remaining in the HT frame are analyzed at this coordinate system. As a result,we find that the residual flows in the co-moving HT frame of the two MC events are almost anti-parallel to the helical magnetic field. We speculate that the field-aligned residual flows are large scale coherent hydrodynamic vortices co-moving with the MCs at the supersonic speed near 1 AU. Data analyses show that the event in slow ambient solar wind is expanding at 1 AU and another one in fast solar wind does not show apparent expansion. Proton behaviors for both events are quasi-isothermal. Accelerated HT analysis shows that both events have no suitable HT frame with constant accelerations,which suggests that both events may be moving at the constant speed near 1 AU under the assumptions of the HT analysis. For both events,the ratio of the dynamic pressure to the magnetic pressure is larger than that of the thermal pressure to magnetic pressure,which suggests that the dynamic effects due to the plasma flows remaining in the co-moving HT frame are more important than the thermal effects in the study of MC evolution and propagation. | LI HuiJun FENG XueShang ZUO PingBing XIE YanQiong | 2009 | Science China(Technological Sciences)2009，52，9： | 2 |
| 7 | Two nonconforming quadrilateral elements for the Reissner- Mindlin plate显示文摘 | MING PINGBING SHI ZHONGCI | 2005 | Mathematical Models and Methods in Applied Science2005，1510，： | 1 |
| 8 | Abinitio calculation of ideal strength and phonon instability of graphene under tension显示文摘 | LIU Fang MING Pingbing LI Ju | | 0，，： | 1 |
| 9 | THE QUADRATIC SPECHT TRIANGLE显示文摘We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence.They may be viewed as the second order Specht triangle,while the Specht triangle is one of the best first order plate bending element.The conver gence result is proved under minimal smoothness assumption on the solution.Numerical results for both the smooth solution and nonsmmoth solution confirm the theoretical pre diction. | Hongliang Li Pingbing Ming Zhongci Shi | 2020 | Journal of Computational Mathematics2020，38，1： | 1 |
| 10 | Analysis of multiscale methods 显示文摘 | E Weinan Ming Pingbing | 2004 | Journal of Computational Mathematics (S0254-9409)2004，22，2： | 1 |
| 11 | Ab initio calculation of ideal strength and phonon instability of graphene under tension显示文摘 | Fang Liu Pingbing Ming Ju Li | 2007 | Physical Review B2007，76，06： | 1 |
| 12 | Responses of properties in the plasma sheet and at the geosynchronous orbit to interplanetary shock显示文摘On July 22, 2004, the WIND spacecraft detected a typical interplanetary shock. There was sustaining weak southward magnetic field in the preshock region and the southward field was suddenly enhanced across the shock front (i.e., southward turning). When the shock impinged on the magnetosphere, the magnetospheric plasma convection was abruptly enhanced in the central plasma sheet, which was directly observed by both the TC-1 and Cluster spacecraft located in different regions. Simultaneously, the Cluster spacecraft observed that the dawn-to-dusk electric field was abruptly enhanced. The variations of the magnetic field observed by TC-1, Cluster, GOES-10 and GOES-12 that were distributed in different regions in the plasma sheet and at the geosynchronous orbit are obviously distinct. TC-1 observations showed that the magnetic intensity kept almost unchanged and the elevation angle decreased, but the Cluster spacecraft, which was also in the plasma sheet and was further from the equator, observed that the magnetic field was obviously enhanced. Simultaneously, GOES-12 located near the midnight observed that the magnetic intensity sharply increased and the elevation angle decreased, but GOES-10 located in the dawn side observed that the magnetic field was merely compressed with its three components all sharply increasing. Furthermore, the energetic proton and electron fluxes at nearly all channels observed by five LANL satellites located at different magnetic local times (MLTs) all showed impulsive enhancements due to the compression of the shock. The responses of the energetic particles were much evident on the dayside than those on the nightside. Especially the responses near the midnight were rather weak. In this paper, the possible reasonable physical explanation to above observations is also discussed. All the shock-induced responses are the joint effects of the solar wind dynamic pressure pulse and the magnetic field southward turning. | YAO Li LIU ZhenXing ZUO PingBing ZHANG LingQian DUAN SuPing | 2009 | Chinese Science Bulletin2009，54，18： | 0 |
| 13 | Recent progress in MHD simulations of the solar-terrestrial connection显示文摘In recent years,considerable efforts on Magnetohydrodynamic(MHD)simulation have been made to better understand the solar-terrestrial connection,i.e.the propagation and evolution of solar wind and solar storm as well as their effects on terrestrial system.This paper briefly reviews these works based on the selected publications during 2013–2014 that cover the solar and solar wind model,solar windMoon interaction model,solar wind-magnetosphere coupling model,and magnetospheric model,etc. | FENG XueShang ZUO PingBing | 2015 | Science China(Technological Sciences)2015，58，12： | 0 |
| 14 | On the Effect of Ghost Force in the Quasicontinuum Method:Dynamic Problems in One Dimension显示文摘Numerical error caused by“ghost forces”in a quasicontinuum method is studied in the context of dynamic problems.The error in the discrete W^(1,∞)norm is analyzed for the time scale O(ε)and the time scale O(1)withεbeing the lattice spacing. | Xiantao Li Pingbing Ming | 2014 | Communications in Computational Physics2014，15，3： | 0 |
| 15 | An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids显示文摘We propose a multigrid method to solve the molecular mechanics model(molecular dynamics at zero temperature).The Cauchy-Born elasticity model is employed as the coarse grid operator and the elastically deformed state as the initial guess of the molecular mechanics model.The efficiency of the algorithm is demonstrated by three examples with homogeneous deformation,namely,one dimensional chain under tensile deformation and aluminum under tension and shear deformations.The method exhibits linear-scaling computational complexity,and is insensitive to parameters arising from iterative solvers.In addition,we study two examples with inhomogeneous deformation:vacancy and nanoindentation of aluminum.The results are still satisfactory while the linear-scaling property is lost for the latter example. | Jingrun Chen Pingbing Ming | 2011 | Communications in Computational Physics2011，10，6： | 0 |
| 16 | The efect of ghost forces for a quasicontinuum method in three dimension显示文摘We study the efect of'ghost forces'for a quasicontinuum method in three dimension with a planar interface.'Ghost forces'are the inconsistency of the quasicontinuum method across the interface between the atomistic region and the continuum region.Numerical results suggest that'ghost forces'may lead to a negilible error on the solution,while lead to a fnite size error on the gradient of the solution.The error has a layer-like profle,and the interfacial layer width is of O(ε).The error in certain component of the displacement gradient decays algebraically from O(1)to O(ε)away from the interface.A surrogate model is proposed and analyzed,which suggests the same scenario for the efect of'ghost forces'.Our analysis is based on the explicit solution of the surrogate model. | CUI Long MING PingBing | 2013 | Science China Mathematics2013，56，12： | 0 |
| 17 | A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM显示文摘We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes. | Ruo Li Pingbing Ming Zhiyuan Sun Fanyi Yang Zhijian Yang | 2019 | Journal of Computational Mathematics2019，37，4： | 0 |
| 18 | Specht Triangle Approximation of Large Bending Isometries显示文摘We propose a Specht triangle discretization for a geometrically nonlinear Kirchhoff plate model with large bending isometry.A combination of an adaptive time-stepping gradient flow and a Newton’s method is employed to solve the ensuing nonlinear minimization problem.Γ−convergence of the Specht triangle discretization and the unconditional stability of the gradient flow algorithm are proved.We present several numerical examples to demonstrate that our approach significantly enhances both the computational efficiency and accuracy. | Xiang Li Pingbing Ming | 2023 | Annals of Applied Mathematics2023，39，4： | 0 |
| 19 | A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform显示文摘In this paper,we present a generalized Peierls-Nabarro model for curved dislocations using the discrete Fourier transform.In 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 transform.Our model directly incorporates into the total energy both the Peierls energy for the motion of straight dislocations and the second Peierls energy for kink migration.The 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.The model is presented for crystals with simple cubic lattice.Simulation results on the dislocation structure,Peierls energies and Peierls stresses of both straight and kinked dislocations are reported.These results qualitatively agree with those from experiments and atomistic simulations. | He Wei Yang Xiang Pingbing Ming | 2008 | Communications in Computational Physics2008，4，7： | 0 |
| 20 | A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity显示文摘We propose a family of nonconforming rectangular elements for the linear strain gradient elastic model.Optimal error estimates uniformly with respect to the small material parameter have been proved.Numerical results confirm the theoretical prediction. | Yulei Liao Pingbing Ming | 2019 | Advances in Applied Mathematics and Mechanics2019，11，6： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员