A simple smoothing algorithm is proposed for general block-structured meshes. The basic method converts a multi-dimensional problem of mesh-smoothing to a set of one-dimensional problems of length-measurement (or similar geometrical operations). The method is robust, easy to implement, and provides nearly uniform spacing between mesh surfaces. Variations with special features to the basic algor...

A two-dimensional numerical model was developed to determine the effect of the non-Newtonian behavior of blood on a pulsatile flow at the aortic bifurcation. The blood rheology was described by a weak-form Casson equation. The successive-over-relaxation (SOR) method was used to solve both the vorticity and Poisson equations numerically. It was disclosed that the non-Newtonian property of blood ...

Some comparison theorems for the spectral radius of double splittings of differentmatrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper byMiao and Zheng (2009). Some comparison theorems between the spectral radius of single and double splittings of matrices are established and are applied to the Jacobi and Gauss-Seidel double SOR m...

This paper presents a new 4-points Explicit Group Unsymmetric Successive Overrelaxation (USSOR) iterative method to approximate the solution of the linear systems derived from the discretisation of self-adjoint elliptic partial equations. Several studies have been carried out by many researchers on the USSOR iterative method, for example, the analysis of its convergence [1], an upper bound for ...

For iterative solution of saddle point problems, a nonsymmetric preconditioning is studied which, with respect to the upper-left block of the system matrix, can be seen as a variant of SSOR. An idealized situation where the SSOR is taken with respect to the skew-symmetric part plus the diagonal part of the upper-left block is analyzed in detail. Since action of the preconditioner involves solut...

Numerical solutions of 2-D steady incompressible flow inside a triangular cavity is presented. For the purpose of comparing our results with several different triangular cavity studies with different triangle geometries, a general triangle mapped onto a computational domain is considered. The Navier-Stokes equations in general curvilinear coordinates in streamfunction and vorticity formulation ...

Graph-based dependency parsers suffer from the sheer number of higher order edges they need to (a) score and (b) consider during optimization. Here we show that when working with LP relaxations, large fractions of these edges can be pruned before they are fully scored—without any loss of optimality guarantees and, hence, accuracy. This is achieved by iteratively parsing with a subset of highero...

This paper describes an extension to a class of surface reconstruction algorithms based on the minimization of variation of curvature, the so-called curvature consistency framework. It deals explicitly with the problem of localizing surface discontinuities, which was one of the shortcomings of the original work. Inter-pixel interactions during the variational relaxation based smoothing process ...

In this paper we find the best values of parameters in accelerated successive overrelaxation method (ASOR). We state and prove some theorems that show how we can find the optimal values of parameters in ASOR for special coefficient matrices. Key-Words: Linear systems, iterative methods, relaxation, ASOR.

The internal friction of high-purity NiAl single crystals was investigated utilizing a low-frequency subresonance torsion a p m . Above lOOOK the damping increases strongly up to Q-' =0.3 at 1400K. The activation enthalpy of this viscoelastic relaxation depends on the composition and shows the highest value (2.8eV) for stoichiometric NiAl. The results are discussed in terms of diffusionantrolle...