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A Newton-Penalty Method for A Simplified Liquid Crystal Model
harmonic maps nonlinear constraint Newton's method regularized func-tional saddle points
2012/8/10
In this paper we are concerned with the computation of a liquid crystal model de痭ed
by a simpli痚d Oseen-Frank energy functional and a (sphere) nonlinear constraint. A
particular case of this model d...
A Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
2012/8/10
In this paper, a new type of iteration method is proposed to solve eigenvalue
problem by finite element method. With this new scheme, solving
eigenvalue problem is transformed to solving a series of...
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
Gradient Flow Based Semi-implicit Finite Element Method and its Convergence Analysis for Image Reconstruction
Gradient flow, Finite element method, Convergence analysis, Image reconstruction
2012/8/10
In this paper, we present a novel L2-gradient flow based semi-implicit finite element
method for solving a variational model of image reconstruction under various data scenarios,
especially for the ...
Multilevel Correction For Collocation Solutions of Volterra Integral Equations With Proportional Delays
delay integral equation geometric mesh collocation method superconvergence
2012/8/10
In this paper we propose a convergence acceleration method
for collocation solutions of the linear second-kind Volterra integral
equations with proportional delay qt (0 < q < 1). This convergence
a...
A Geometric Flow Approach for Region-based Image Segmentation
A Geometric Flow Approach Region-based Image Segmentation
2012/8/10
Geometric flows have been successfully used for surface
modeling and designing, largely because they are inher-
ently good at controlling geometric shape evolution. Vari-
ational image segmentation...
Flexible Multi-scale Image Alignment Using B-Spline Reparametrization -Theoretical Analysis
Flexible alignment L2-gradient flow Bi-cubic B-spline Existence and uniqueness System of ordinary differential equations
2012/8/10
In the first part of this companion volumes, we present a new flexible alignment model and
an iterative algorithm based on an L2-gradient flow. In this second part of the companion
volumes, we focus...
A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search
conjugate gradient method memoryless BFGS method unconstrained optimization global convergence Wolfe line search
2012/8/10
In this paper, we seek the conjugate gradient direction closest to the direction of the
scaled memoryless BFGS method and propose a family of conjugate gradient methods for
unconstrained optimizatio...
Flexible Multi-scale Alignment Using B-Spline Reparameterization-Computational Methods
Flexible Alignment L2-gradient flow Bi-cubic B-spline Finite elementmethod Multi-resolution representation
2012/8/10
In this first part of the companion volumes, we present a new flexible alignment method
to align two or more similar images, especially biological images. By minimizing an energy
functional measurin...
An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids
Multigrid method Linear-scaling algorithm Cauchy-Born rule Nanoindentation.
2012/8/10
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 elasti...
ON UNIFORM CONVERGENCE THEORY OF LOCAL MULTIGRID METHODS IN H1(Ω) AND H(curl,Ω)
Maxwell’s equations Lagrangian finite elements edge elements local multigridmethod successive subspace correction
2012/8/10
We consider the convergence theory of local multigrid methods for H1()-elliptic
and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest
order conforming fin...
Distribution of Zeros of Mittag-Leffler Function and Relevant Spectrum Analysis
Eigenvalue of Operator Fractional Derivative Mittag-LefflerFunction Spectrum Analysis
2012/8/10
This paper is devoted to the distribution of eigenvalues of op-
erators generated by differential expressions of fractional order with Sturm-
Liouville regional conditions. In particular it offers a...
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
2012/8/10
We propose a condition under which the heterogeneous multiscale 痭ite element
method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal
convergence rate for elliptic prob...
Boundary Value Problems for Differential Equations of Fractional Order
Boundary Value Problems Fractional Order
2012/8/10
We carry out spectral analysis of one class of integral op-
erators associated with fractional order differential equations that arise in
mechanics. We establish a connection between the eigenvalues...
Non-Convexity Of The Dimension Function For SierpiNski Pedal
Moran Equation SierpiNski Pedal
2012/8/10
We disprove the conjecture of the paper [5] on the Schur-convexity
of the dimension function for the family of Sierpi磏ski pedal triangles.
We also show that this function is not convex and the relat...