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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...
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
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
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...
A Non-overlapping Domain Decomposition Method with Inexact Solvers
domain decomposition interface space multilevel decomposition constant-like function nearly harmonic extension preconditioner inexact solvers condition number
2012/8/8
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, ...
A Discrete Weighted Helmholtz Decomposition and Applications to Non-overlapping Domain Decomposition for Saddle-point Maxwell Systems with Jumps in Coefficients
Maxwell's equations N秂d秂lec 痭ite elements weighted Helmholtz decom-position domain decomposition saddle-point system, preconditioners, condition number
2012/8/8
We shall establish a discrete weighted Helmholtz decomposition in edge element
spaces, which is stable uniformly with respect to the jumps in the discontinuous weight
function. The stable decomposit...
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition
domain decomposition nonmatching grids pointwise matching error estimate
2012/8/8
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition。
The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations
Modified Adomian Decomposition method Quadratic integral equation The noise Terms
2013/1/30
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...
ON FUNCTIONAL DECOMPOSITION OF MULTIVARIATE POLYNOMIALS WITH DIFFERENTIATION AND HOMOGENIZATION
Cryptosystem analysis functional decomposition homogeneous polynomials multivariate polynomial right factor space
2013/9/9
This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye, Dai, ...
A nonoverlapping domain decomposition iterative
procedure is developed and analyzed for generalized Stokes
problems and their finite element approximate problems in
\textbf{R}$^N$(N=2,3). The metho...
In this paper, we are concerned with a non-overlapping domain
decomposition method (DDM) for exterior transmission problems in the
plane. Based on the natural boundary integral operator, we combine
...
A PARALLEL ITERATIVE DOMAIN DECOMPOSITION ALGORITHM FOR ELLIPTIC PROBLEMS
Domain decomposition methods finite element methods parallel computing
2007/12/12
An iterative nonoverlapping domain decomposition procedure is proposed
and analyzed for linear elliptic problems. At the interface of two
subdomains, one subdomain problem requires that Dirichlet da...
This paper is devoted to study of an iterative procedure for domain
decomposition method of second order elliptic problem with mixed
boundary conditions (i.e., Dirichlet condition on a part of bound...
A Non-overlapping Domain Decomposition for Low-frequency Time-harmonic Maxwell's Equations in Unbounded Domains
Maxwell's equations unbounded domains domain decomposition boundary integral N秂d秂lec 痭ite elements D-N alternation
2012/8/1
In this paper, we are concerned with a non-overlapping domain decomposition method for solving the low-frequency time-harmonic Maxwell's equations in unbounded domains.This method can be viewed as a c...
Non-overlapping Domain Decomposition Methods with A New Class of Multilevel Solvers
domain decomposition interface space multilevel decomposition preconditioner condition number harmonic extension inexact solver
2012/8/1
In this paper we are concerned with non-overlapping domain decomposition methods for the second-order elliptic problems in three-dimensional domains. In this method,the interface variable is chosen as...
Domain Decomposition with Non-matching Grids for Coupling of FEM and Natural BEM
domain decomposition non-matching grids natural boundary reduction multiplier space error estimate D-N alternating algorithm convergence
2012/7/31
In this paper, we introduce a domain decomposition method with non-matching grids for solving Dirichlet exterior boundary problems by coupling of 痭ite element method (FEM) and natural boundary element...