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.
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.
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.
Based on a linear finite element space,two symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions are constructed and *** relationships between the finite element method and the finite differe...
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Based on a linear finite element space,two symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions are constructed and *** relationships between the finite element method and the finite difference method are addressed,too.
Starting from the variable separation approach, the algebraic soliton solution and the solution describing the interaction between line soliton and algebraic soliton are obtained by selecting appropriate seed solution...
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Starting from the variable separation approach, the algebraic soliton solution and the solution describing the interaction between line soliton and algebraic soliton are obtained by selecting appropriate seed solution for （2＋1）-dimensional ANNV equation. The behaviors of interactions are discussed in detail both analytically and graphically. It is shown that there are two kinds of singular interactions between line soliton and algebraic soliton： 1） the resonant interaction where the algebraic soliton propagates together with the line soliton and persists infinitely; 2） the extremely repulsive interaction where the algebraic soliton affects the motion of the line soliton infinitely apart.
We give here an overview of the orbital-flee density functional theory that is used for modeling atoms and molecules. We review typical approximations to the kinetic energy, exchange-correlation corrections to the k...
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We give here an overview of the orbital-flee density functional theory that is used for modeling atoms and molecules. We review typical approximations to the kinetic energy, exchange-correlation corrections to the kinetic and Hartree energies, and constructions of the pseudopotentials. We discuss numerical discretizations for the orbital-free methods and include several numerical results for illustrations.
In this paper,we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell's *** present the preconditioners for the first family and second family of higher order N′ed′...
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In this paper,we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell's *** present the preconditioners for the first family and second family of higher order N′ed′elec element equations,*** combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning,we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform *** also present some numerical experiments to demonstrate the theoretical results.
SCALASCA is a performance toolset that has been specifically designed to analyze parallel application behavior on large-scale systems, but is also well-suited for small- and medium-scale HPC platforms. SCALASCA offers...
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ISBN:
(纸本)9783540685616
SCALASCA is a performance toolset that has been specifically designed to analyze parallel application behavior on large-scale systems, but is also well-suited for small- and medium-scale HPC platforms. SCALASCA offers an incremental performance-analysis process that integrates runtime summaries with in-depth studies of concurrent behavior via event tracing, adopting a strategy of successively refined measurement configurations. A distinctive feature of SCALASCA is its ability to identify wait states even for very large processor counts. The current version supports the MPI, OpenMP and hybrid programming constructs most widely used in highly-scalable HPC applications.
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.
We propose a new approach to utilize the algorithm of hardware-assisted visibility sorting (HAVS) in the 3D volume rendering of spherical mantle convection simulation results over unstructured grid configurations. We ...
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