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Numerical solution of a two-disk problem
Numerical solution control system and feedback compensator Fahrenheit convex programming numerical Fahrenheit programming
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2015/8/12
A multidisk problem in frequency domain control system synthesis is a problem in which the designer wishes to find a feedback compensator that minimizes the H_infty-norm of a certain transfer matrix r...
A LIOUVILLE PROBLEM FOR THE SIGMA-2 EQUATION
A LIOUVILLE PROBLEM THE SIGMA-2 EQUATION
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2014/4/3
We show that any global convex solution to the Sigma-2 equation must be quadratic.
Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem
Symmetric Indefinite Eigenvalue Gradient Optical Fiber Design
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2013/1/30
When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be supplied. In ou...
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle
polyharmonic Equation Boundary Value Problem Dirichlet Problem Improperly Elliptic Equation Riemann Problem Grid Method
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2013/1/30
In this paper we present a numerical method for solving Riemann type problem for the fifth order improperly elliptic equation in complex plane .We reduce this problem to the boundary value problems fo...
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
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2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations
Adomian Decomposition Method Initial Value Problem Modified Adomian Decomposition Method
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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
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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 Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
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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...
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
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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...
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...
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 ...
On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains
Quasilinear Elliptic Equation Elliptic Artificial Boundary Natural Integral Equation
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2013/1/30
In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with...
Data Recovering Problem Using a New KMF Algorithm for Annular Domain
Inverse Problem Annular Domain Laplace Equation Iterative Method Freefem
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2013/1/30
This paper is interested at the Cauchy problem for Laplace!ˉ equation, which is to recover both Dirichlet and Neumann conditions on the inaccessible part of the boundary (inner part) of an annular dom...
Solving the Interval-Valued Linear Fractional Programming Problem
Interval-Valued Function Linear Fractional Programming Interval-Valued Linear Fractional Programming
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2013/1/30
This paper introduces an interval valued linear fractional programming problem (IVLFP). An IVLFP is a linear fractional programming problem with interval coefficients in the objective function. It is ...
First Order Convergence Analysis for Sparse Grid Method in Stochastic Two-Stage Linear Optimization Problem
Convergence Analysis Stochastic Optimization Scenario Generation Convex Analysis Measure Theory
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2013/1/30
Stochastic two-stage linear optimization is an important and widely used optimization model. Efficiency of numerical integration of the second stage value function is critical. However, the second sta...