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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 ...
In this paper we propose a substructuring preconditioner for solving three-dimensional elliptic equations with strongly discontinuous cocients. The new preconditioner can be viewed as a variant of...
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, ...
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
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 ...
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...
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...
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...
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...

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