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Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Pseudo-Hyperbolic Equation Nonconforming H1-Galerkin Mixed Finite Element Error Estimate
2013/1/30
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral me...
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations
Adomian Decomposition Method Initial Value Problem Modified Adomian Decomposition Method
2013/1/30
In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are appl...
A Cubic Spline Method for Solving a Unilateral Obstacle Problem
Obstacle Problem Spline Collocation Nonsmooth Equation Generalized Newton Method
2013/1/30
This paper, we develop a numerical method for solving a unilateral obstacle problem by using the cubic spline collocation method and the generalized Newton method. This method converges quadratically ...
A Spectral Method in Time for Initial-Value Problems
Initial-Value Problem WRM Time-Spectral Spectral Method Chebyshev Polynomial Fluid Mechanics MHD
2013/1/30
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domain...
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
An Efficient High Order Heterogeneous Multiscale Method For Elliptic Problems
Heterogeneous multiscale method H-convergence Least-squares
2012/8/10
We propose an efficient heterogeneous multiscale finite element
method based on a local least-squares reconstruction of the effective matrix
using the data retrieved from the solution of cell proble...
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 ...
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...
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...
Analysis Of A One-Dimensional Nonlocal Quasicontinuum Method
Quasicontinuum method ghost force geometrically consistent scheme
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...
An Error Estimate For a Plane Elasticity Problem and The Enhanced Assumed Strain Method
2D-elasticity enhanced strain method shear locking nonconforming element
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 ...