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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Domain Decomposition and Optimized Schwarz Methods for the Dual-porosity-conduit System
双重孔隙 导管系统 区域分解 优化Schwarz方法
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2023/5/10
In this work, we propose and analyze domain decomposition methods to decouple the large system arisen from the discretization of dual-porosity-Stokes model. Robin boundary conditions are used to decou...
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
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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
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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
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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
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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
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2012/8/8
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition。
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...
DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING
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2007/12/12
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
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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 discusses the optimal preconditioning in the domain
decomposition method for Wilson element. The process of the
preconditioning is composed of the resolution of a small scale global
prob...
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...
Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios
multiscale elliptic problems domain decomposition
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2007/12/11
In this paper we study some nonoverlapping domain decomposition methods for solving a class of elliptic problems arising from composite materials and flows in porous media which contain many spatial s...
OPTIMAL COARSE GRID SIZE IN DOMAIN DECOMPOSITION
optimal coarse grid size in domain decomposition
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2007/12/10
In most domain decomposition (DD) methods, a coarse grid solve is employed to provide the global coupling required to produce an optimal method. The total cost of a method can depend sensitively on th...
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
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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
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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...