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一种优化的手写字符自动分割算法
手写字符分割 滴水算法 粘连字符 起始滴落点
2022/3/15
动态有限差分法作为解决冲击动力学问题的有效方法而被广泛应用。但目前还鲜有学者给出该方法实现细节中的积分路径的形状和网格单元类型对计算结果影响效应的系统研究。针对这一问题,本文基于拉格朗日动态有限差分法求解框架,使用JAVA语言编写计算程序,模拟了应力波在长柱模型中的传播,利用理论解,对比了多种积分路径下模拟结果。然后模拟了应力波在无限大介质中的传播,从能量误差的角度,指出了四边形网格的沙漏效应缺陷...
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用“惊奇值”计算场景所含信息(图)
惊奇值 计算场景 信息
2013/8/7
数学家试图用数学算法计算“惊奇”,心理学家则试图用“惊奇”的数学算法来计算生活场景中所包含的信息,并用以探索场景知觉过程中的信息加工机制。
Regularization of B-Spline Objects
Spline objects Regularization L2-gradient Finite element method
2012/8/8
By a d-dimensional B-spline object (denoted as Od), we mean a B-spline curve (d = 1), a
B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object
Od we mean a pro...
An Explicit Harmonic Extension for the Constant-like Basis and Its Application to Domain Decompositions
domain decomposition coarse subspace constant-like basis nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with substructuring methods for the second-order
elliptic problems in three-dimensional domains. We 痳st design a simple and completely
explicit nearly harmonic extensi...
Cascadic Multigrid Methods For Parabolic Problems
Cascadic multigrid method parabolic problem element methods backwardEuler scheme smoother stability optimal error order optimal complexity
2012/8/8
In this paper, we consider the cascadic multigrid method for a parabolic type equa-
tion. Backward Euler approximation in time and linear 痭ite element approximation in space are
employed. A stabilit...
A Non-overlapping Domain Decomposition Method with Inexact Solvers
domain decomposition interface space multilevel decomposition constant-like function nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
In this paper we are concerned with non-overlapping domain decomposition methods
for the second-order elliptic problems in three-dimensional domains. We develop a
new kind of substructuring method, ...
Consistent Approximations of Some Geometric Differential Operators and Their Convergences
Geometric Dierential Operators Consistent discretized approximations TriangularKey words:Surface Mesh Error Analysis
2012/8/8
The numerical integration of many geometric partial dierential equations involves
discrete approximations of several first- and second-order geometric dierential operators.
In this paper, we consi...
Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs
Energy-conserving numerical methods Hamiltonian PDEs
2012/8/8
In this paper, the discrete gradient methods are investigated for ODEs with 痳st integral,
and the recursive formula is presented for deriving the high-order numerical methods. We
generalize the idea...
A generalized Peierls-Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu
Dislocation dislocation structures micromechanical modeling Peierls-Nabarro model
2012/8/8
In this paper, we present a generalized Peierls-Nabarro model for curved dislo-
cations. In the generalized Peierls-Nabarro model, the anisotropic elastic energy is
obtained e±ciently by solving the...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
New type of KP equation with self-consistent sources and its bilinear B鋍klund transformation
New type of KP equation self-consistent
2012/8/8
A new type of the KP equation with self-consistent sources (KPESCS)
痳st found by Melnikov ( Lett. Math. Phys. 7(1983) 129-136)is re-constructed
via source generation procedure. New feature of the ob...
A Discrete Weighted Helmholtz Decomposition and Applications to Non-overlapping Domain Decomposition for Saddle-point Maxwell Systems with Jumps in Coefficients
Maxwell's equations N秂d秂lec 痭ite elements weighted Helmholtz decom-position domain decomposition saddle-point system, preconditioners, condition number
2012/8/8
We shall establish a discrete weighted Helmholtz decomposition in edge element
spaces, which is stable uniformly with respect to the jumps in the discontinuous weight
function. The stable decomposit...
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations
Eigenvalue 痭 ite element higher order local computation
2012/8/8
Based on some coupled discretizations, a local computational scheme is proposed
and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its
e眂iency is proven b...