搜索结果: 151-165 共查到“知识库 计算数学”相关记录1183条 . 查询时间(5.922 秒)
Numerical Approximations of A Nonlinear Eigenvalue Problem and Applications to A Density Functional Model
Eigenvalue Galerkin discretization nonlinear numerical approximation density func- tional orbital-free
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2012/8/10
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider
applications to a density functional model. We prove the convergence of numerical approximations.
In p...
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
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2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
Jacobi-type Gauss-Seidel Smoother with Error Compensation for Parallel Multigrid
parallel multigrid parallel Gauss-Seidel JGS JGSEC
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2012/8/10
Smoother is the most important component of parallel multigrid methods, however,
the widely used Gauss-Seidel smoother is difficult to be parallelized. This paper
proposes a new parallel smoother, J...
Hierarchical control based output synchronization of coexisting attractor networks
Hierarchical control passive control composite Lyapunov function theNewton-Leipnik equation attractor
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2012/8/10
This paper introduces the concept of hierarchical control based output
synchronization of coexisting attractor networks. Under the new framework, each
dynamical node is made passive through intra co...
Analysis Of A One-Dimensional Nonlocal Quasicontinuum Method
Quasicontinuum method ghost force geometrically consistent scheme
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2012/8/10
The accuracy of the quasicontinuum method is analyzed using a series of models
with increasing complexity. It is demonstrated that the existence of the ghost force may lead to large
errors. It is al...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
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2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
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Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
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2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
An Error Estimate For a Plane Elasticity Problem and The Enhanced Assumed Strain Method
2D-elasticity enhanced strain method shear locking nonconforming element
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2012/8/8
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking
phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated
problems and prove ...
Integrable semi-discretizations and full-discretization of the two dimensional Leznov lattice
Integrable system Integrable discretization cklund transformation Lax pair
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2012/8/8
In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via
Hirota's bilinear formalism. As a result, two integrable semi-discrete versions and one fully di...
Error Estimate of Force-Based Quasicontinuum Method
Quasicontinuum method ghost force convergence accuracy
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2012/8/8
We prove that the force-based quasicontinuum method converges uniformly with
痳st order accuracy.
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
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2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
Nonoverlapping Domain Decomposition Methods with Simplified Coarse Spaces for Solving Three-dimensional Elliptic Problems
domain decomposition coarse subspace substructuring preconditioner inexact solver condition number
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2012/8/8
In this paper we propose a substructuring preconditioner for solving three-dimensional
elliptic equations with strongly discontinuous coe±cients. The new preconditioner
can be viewed as a variant of...
曲面变形的水平集方法
曲面变形 水平集方法 距离函数 几何偏微分方程
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2012/8/8
本文中我们提出一种曲面变形的新方法. 首先引入一个一阶能量范函, 然后通过对其极小化诱导出一个水平集形式的二阶几何偏微分方程, 从而将曲面变形过程转化为一个三维体上隐式模型的演化过程. 模型演化产生的系列变形曲面被描述成一个密集取样的三维体上的水平集函数的演化. 实验结果显示大尺度的形变以及拓扑结构的自动改变均能理想地实现. 我们采用C2光滑的B样条作为水平集函数, 从而获得了高质量的曲面. 同时...
拟极小平均曲率变差流和G2曲面构造
拟极小平均曲率变差流 流量泛函 变分
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2012/8/8
曲面的变分设计方法在构造高质量的曲面方面显示出了明显的优越性。本文中，我们通过对Greiner所提出的三阶
能量泛函进行变分，得到了相应的欧拉-拉格朗日方程，并构造了一个新的六阶L2梯度流。我们
提出用类差分法对所构造的几何流进行数值求解，并用其解决几何设计中的各种问题，包括曲面
处理、曲面恢复等。实验表明，所构造的几何流确能产生高质量的曲面。
G1 B-Spline Surface Construction By Geometric Partial Differential Equations
B-Spline surface discretizations geometric PDE Convergence
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2012/8/8
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric
PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular
an...