An efficient nonlinear multigrid method for a mixed finite element method of the Darcy-Forchheimer model is constructed in this paper. A Peaceman-Rachford type iteration is used as a smoother to decouple the nonlinearity from the divergence constraint. The nonlinear equation can be solved element-wise with a closed formulae. The linear saddle point system for the constraint is reduced into a sy...

A . This report analyzes the long time stability of four methods for non-iterative, sub-physics, uncoupling for the evolutionary Stokes-Darcy problem. The four methods uncouple each time step into separate Stokes and Darcy solves using ideas from splitting methods. Three methods uncouple sequentially while one is a parallel uncoupling method. We prove long time stability of four splitting based...

This paper investigates an error covariance matrix splitting technique for multiuser multiple input and multiple output (MIMO) interference downlink channel. Most of the related work has thus far considered the traditional error covariance matrix which has not been well-shaped for maximizing the system capacity. Thus, we split and propose a new iterative error covariance matrix to mitigate the ...

Parallel iterative methods are powerful tool for solving large system of linear equations (LEs). The existing parallel computing research results are focussed mainly on sparse system or others with particular structure. And most are based on parallel implementation of the classical relaxation methods such as Gauss-Seidel, SOR, and AOR methods carried efficiently on multiprcessor systems. In thi...

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Low precision arithmetic, in particular half (16-bit) floating point is now available commercial hardware. Using lower can offer significant savings computation and communication costs with proportional energy. Motivated by this, there has been a renewed interest mixed iterative refinement schemes for solving linear systems A x = b , new variants of GMRES-based have developed. Each variant give...

A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method based on Dirichlet-Neumann type splitting interface conditions solving separate Stokes Darcy problems iteratively. Second kind boundary integral equations are formulated each problem. use smoothing kernels that achieves high accurac...

A set of fast real transforms including the well known Hartley transform is fully investigated. Mixed radix splitting properties of Hartley-type transforms are examined in detail. The matrix algebras diagonalized by the Hartley-type matrices are expressed in terms of circulant and (−1)-circulant matrices. © 2002 Elsevier Science Inc. All rights reserved.