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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...
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 ...
We prove that the force-based quasicontinuum method converges uniformly with 痳st order accuracy.
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, ...
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...
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...
We develop an adaptive edge 痭ite element method based on reliable and e眂ient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with singularities. The r...
In this paper, we develop a coupling of natural boundary element method and 痭ite element method for solving the time-dependent eddy current problems in unbounded domains based on a H∶ formulation. T...
This paper considers the inexact Barzilai-Borwein algorithm applied to saddle point problems. To this aim, we study the convergence properties of the inexact Barzilai-Borwein algorithm for symmetric...
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition。
The heterogeneous multiscale method (HMM) is applied to various parabolic problems with multiscale coefficients. These problems can be either linear or nonlinear. Optimal estimates are proved for th...
The aim of the electron microscopy image classification is to categorize the projection images into different classes according to their similarities. Distinguishing images usually requires that the...
In this paper, we apply the modified Adomian Decomposition Method to get the numerical solutions of Quadratic integral equations. The appearance of noise terms in Decomposition Method was investigated...
In this article, we use scaling function interpolation method to solve linear Fredholm integral equations, and we prove a convergence theorem for the solution of Fredholm integral equations. We presen...
We consider problems of obtaining a generating function for the central coefficients of triangle $T(n,k)$, which is given by expression $[xG(x)]^k=\sum_{n\geqslant k} T(n,k)x^n$, $G(0)\neq 0$. We prov...

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