Maintenance of articular cartilage's functional mechanical properties ultimately depends on the balance between the extracellular matrix component biosynthesis, degradation, and loss. A variety of factors are know...
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In recent years,a nonoverlapping domain decomposition iterative procedure,which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces,has been developed an...
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In recent years,a nonoverlapping domain decomposition iterative procedure,which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces,has been developed and *** is known that the convergence rate of this method is 1-O(h),where h is mesh *** this paper,the convergence rate is improved to be 1-O(h1/2 H-1/2)sometime by choosing suitable parameter,where H is the subdomain *** examples are constructed to show that our convergence estimates are sharp,which means that the convergence rate cannot be better than 1-O(h1/2H-1/2)in a certain case no matter how parameter is chosen.
This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems,which leave invuriant the set of solutions of the corresponding diffe...
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This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems,which leave invuriant the set of solutions of the corresponding difference scheme. This approach makes it possible to devise techniques for solving the Lagrange Maxwell equations in differences which correspond to mechanico-electrical systems,by adapting existing differential *** particular,it obtains a new systematic method to determine both the one-parameter Lie groups and the discrete Noether conserved quantities of Lie point symmetries for mechanico-electrical *** an application,it obtains the Lie point symmetries and the conserved quantities for the difference equation of a model that represents a capacitor microphone.
For large sparse non-Hermitian positive definite system of linear equations, we present several variants of the Hermitian and skew-Hermitian splitting (HSS) about the coefficient matrix and establish correspondingly s...
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For large sparse non-Hermitian positive definite system of linear equations, we present several variants of the Hermitian and skew-Hermitian splitting (HSS) about the coefficient matrix and establish correspondingly several HSS-based iterative schemes. Theoretical analyses show that these methods are convergent unconditionally to the exact solution of the referred system of linear equations, and they may show advantages on problems that the HSS method is ineffective.
In engineering analysis by numerical manifold method, infinite region or half infinite region is treated by fixed boundary. But stress waves reflect severely at fixed boundary. The simulative results are not in agreem...
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In engineering analysis by numerical manifold method, infinite region or half infinite region is treated by fixed boundary. But stress waves reflect severely at fixed boundary. The simulative results are not in agreement with fact instances. So based on Lysmer's viscous boundary theory, a new viscous boundary is brought forward. This approach is based on the use of the independent dashpots in the normal and shear directions of specific boundaries, and then corresponding viscous boundary condition stiffness matrix is derived and implemented into the original NMM program. New method has been proven to be an effective method by a simple example, in which one dimensional elastic wave propagates in a long rock bar, and comparing with resultant stress wave obtained from different boundary by FEM. The result obtained from the FBC by NMM is in agreement with that by FEM. But the result obtained from the VBC by NMM does not agree with that from the non-reflection boundary by FEM. It is helpful for programming and the application of numerical manifold method to engineering.
Professor Junzhi Cui was born on June 15, 1938 in Xinxiang, Henan Province in China. He graduated from the Department of mathematics and Mechanics, Northwestern Polytechnic University in 1962. Since then, he has been ...
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Professor Junzhi Cui was born on June 15, 1938 in Xinxiang, Henan Province in China. He graduated from the Department of mathematics and Mechanics, Northwestern Polytechnic University in 1962. Since then, he has been working in the institute of computing Technology （1962-1978）, the computing Center （1978-1995）,
作者：
Qiya HuLSEC
Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems Science Chinese Academy of Sciences Beijing100080 China.
A class of normal-like derivatives for functions with low regularity defined on Lipschitz domains are introduced and *** is shown that the new normal-like derivatives,which are called the generalized normal derivative...
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A class of normal-like derivatives for functions with low regularity defined on Lipschitz domains are introduced and *** is shown that the new normal-like derivatives,which are called the generalized normal derivatives,preserve the major prop- erties of the existing standard normal *** generalized normal derivatives are then applied to analyze the convergence of domain decomposition methods (DDMs) with nonmatching grids and discontinuous Galerkin (DG) methods for second-order el- liptic *** approximate solutions generated by these methods still possess the optimal energy-norm error estimates,even if the exact solutions to the underlying elliptic problems admit very low regularities.
作者：
Dier ZhangAihui ZhouXin-Gao GongDepartment of Physics
Fudan UniversityShanghai 200433China LSEC
Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China
The finite element method is a promising method for electronic structure *** this paper,a new parallelmesh refinementmethod for electronic structure calculations is *** properties of the method are investigated to mak...
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The finite element method is a promising method for electronic structure *** this paper,a new parallelmesh refinementmethod for electronic structure calculations is *** properties of the method are investigated to make itmore efficient andmore convenient for *** practical issues such as distributed memory parallel computation,less tetrahedra prototypes,and the assignment of the mesh elements carried out independently in each sub-domain will be *** numerical experiments on the periodic system,cluster and nano-tube are presented to demonstrate the effectiveness of the proposed method.
作者：
DU QiangMING PingBingDepartment of Mathematics
Pennsylvania State UniversityUniversity ParkPA 16802USA LSEC
Institute of Computational Mathematics and Scientific/Engineering ComputingAMSSChinese Academy of SciencesBeijing 100190China
In this paper,we consider the cascadic multigrid method for a parabolic type *** Euler approximation in time and linear finite element approximation in space are employed.A stability result is established under some c...
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In this paper,we consider the cascadic multigrid method for a parabolic type *** Euler approximation in time and linear finite element approximation in space are employed.A stability result is established under some conditions on the *** 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 *** error bound sare derived for both smooth and non-smooth *** strategies guaranteeing both the optimal accuracy and the optimal complexity are presented.
In this paper we are concerned with the construction of a preconditioner for the Steklov-Poincaré operator arising from a non-overlapping domain decomposition method for second-order elliptic problems in three-di...
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ISBN:
(纸本)9783540751984
In this paper we are concerned with the construction of a preconditioner for the Steklov-Poincaré operator arising from a non-overlapping domain decomposition method for second-order elliptic problems in three-dimensional domains. We first propose a new kind of multilevel decomposition of the finite element space on the interface associated with a general quasi-uniform triangulation. Then, we construct a multilevel preconditioner for the underlying Steklov-Poincaré operator. The new multilevel preconditioner enjoys optimal computational complexity, and almost optimal convergence rate.
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