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Robust and Scalable Domain Decomposition Methods for Electromagnetic Computations
domain decomposition electromagnetics FETI finite element method LEAP Maxwell equations
2014/11/7
The Finite Element Tearing and Interconnecting (FETI) and its variants are probably the most celebrated domain decomposition algorithms for partial differential equation (PDE) scientific computations....
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...
Decomposition Methods for Large Scale LP Decoding
LP Decoding Alternating Direction Method of Multipliers Information Theory
2012/4/18
When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be ...
Penalty Decomposition Methods for Rank Minimization
rank minimization penalty decomposition methods matrix completion
2010/10/21
In this paper we consider general rank minimization problems with rank appearing in either objective function or constraint. We first show that a class of matrix optimization problems can be solved a...
Multifractal imaging filtering and decomposition methods in space,Fourier frequency,and eigen domains
ultifractal imaging filtering decomposition methods Fourier frequency eigen domains
2009/11/3
The patterns shown on two-dimensional images (fields) used in geosciences reflect the end products of geo-processes that occurred on the surface and in the subsurface of the Earth. Anisotropy of these...
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...
DECOMPOSITION METHODS TO OPTIMISE THE STRUCTURE AND PARAMETERS OF TRANSFER LINE WITH PARALLEL AND SEQUENTIAL MACHINING
Production systems Optimisation Decomposition methods Graph theory
2010/1/12
The paper is devoted to a preliminary design problem of paced automatic
transfer lines. At this design stage, the following decisions are to be made: the
partitioning of the given set of operations ...