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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...
Variational iteration and Adomian decomposition methods for solving Kawahara and modified Kawahara equations
Kawahara equation Modified Kawahara equation
2010/9/14
This paper applies variational iteration method (VIM) and Adomian decomposition method (ADM) for finding analytical approximation traveling wave solutions to the Kawahara and modified Kawahara equatio...
Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios
multiscale elliptic problems domain decomposition
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...
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...