This report describes a domain decomposition method for the incompressible NavierStokes equations in general coordinates. Domain decomposition techniques are needed if we want to solve ows in complex geometries. The discretization is performed by a nite volume method combined with a staggered grid arrangement. The domain decomposition technique is of Schwarz type combined with a GMRES accelerat...

The FETI-DP domain decomposition method is extended to address the iterative solution of a class of indefinite problems of the form (K−σM)x = b, and a class of complex problems of the form (K − σM + iσD)x = b, where K, M, and D are three real symmetric positive semi-definite matrices arising from the finite element discretization of either second-order elastodynamic problems or fourth-order pla...

Today, the electricity power system is the most complicated engineering system has ever been made. The integrated power generating stations with power transmission lines has created a network, called complex power network. The reliability estimation of such complex power networks is a very challenging problem, as one cannot find any immediate solution methods in current literature. In this pape...

This paper presents a Domain Decomposition-type method for solving real symmetric (or Hermitian complex) eigenvalue problems in which we seek all eigenpairs in an interval [α, β], or a few eigenpairs next to a given real shift ζ. A Newton-based scheme is described whereby the problem is converted to one that deals with the interface nodes of the computational domain. This approach relies on the...

The particle size control of drug is one of the most important factors affecting the efficiency of the nano-drug production in confined liquid impinging jets. In the present research, for this investigation the confined liquid impinging jet was used to produce nanoparticles of Carbamazepine. The effects of several parameters such as concentration, solution and anti-solvent flow rate and solvent...

Laplace decomposition method is based on Laplace transform method and Adomian decomposition method. In this paper we show that the method is applicable to certain successive interval valued linear as well as nonlinear differential-difference equations of order (1, 2), that means the differential is of order one and the difference is of order two. It is also shown that the method gives exact sol...

in order to improve uv and visible lights photocatalytic activities of the pure anatase tio2, a novel and efficient n-doped tio2 photocatalyst was prepared by sol-gel method. n-doped titania is prepared using triethylamine (with difference molar ratios) as the nitrogen source. the crystalline structure, morphology, particle size, absorbance and band-gap and chemical structure of n-doped tio2 wa...

dynamically adaptive numerical methods have been developed to find solutions for differential equations. thesubject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions fordifferential equations. wavelets have the ability to show functions at different levels of resolution. in this paper, a numerical method is proposed for solving the second pain...