[PDF] Top 20 Research on Aggregations for Algebraic Multigrid Preconditioning Methods

... The computation time is dependent on the non-zero entries of the coefficient matrix on each level, and the number of iterations. Thus, these parameters are counted in all experiments. In all the tables, Nlev denotes the ... See full document

... these aggregations have always been vulnerable to ...spawning aggregations of reef fish due to the skeptical point-of- view by certain researchers over the capability of this ... See full document

... two methods individually, such as the truncated non-smooth Newton multigrid ...as algebraic multigrid (cf. [48]), and no methods such as monotone and truncated multigrid ... See full document

... two methods individually, such as the truncated non-smooth Newton multigrid ...as algebraic multigrid (cf. [48]), and no methods such as monotone and truncated multigrid ... See full document

... by state-of-the-art ODE integrators. However, the grid points of the spatial mesh have to stay fixed in time or are often subject to certain constraints, as for example in the case of moving mesh methods, so that ... See full document

... (RBF) methods are of interest for solving par- tial differential equations due to attractive convergence properties, flexibility with respect to geometry, and ease of ...RBF methods, the computational cost ... See full document

... To discretize, we use the standard five-point centered discretization for the diffusion term and a first order up- wind scheme for the advection part of the equation. Al- though using first order upwind introduces ... See full document

... approximate methods for algorithm executing have been ...by preconditioning method, the conver- gence speed of CQ algorithm can be improved, but the way to obtain variable stepsize in the paper is ...the ... See full document

... The NEB and string methods have slow convergence rates when they are subjected to ill-conditioned energy landscapes V. How- ever, a suitable preconditioner P ∈ R M×M that is cheap to compute can be used to reduce ... See full document

... Saddle point systems also arise when finding interpolants on a sphere S d ⊂ R d+1 by hybrid methods that combine local radial basis functions with global spherical poly- nomials [63, 70]. To ensure that the ... See full document

... In t his method the number of nodes per processor sti ll decreases as we move down t he levels, but t he fine grid relaxation sweeps may be performed in parallel with the coarse grid cor[r] ... See full document

... Interactive image registration is important in some medical applications since automatic image registration is often slow and sometimes error-prone. We consider interactive registration methods that incorporate ... See full document

... Apart from small-scale changes related to changes in the pattern of hydrothermal activity, there is no evidence of a decline in the overall area or population density of aggregations of R. exoculata between 1994 ... See full document

... In this research report, we will be concerned with the finite-difference multigrid solution of nonlinear elliptic boundary value problems BVP's , and consider the implementation of multi[r] ... See full document

... efficient multigrid finite-differences scheme for solving elliptic Fredholm partial integro-differential equations (PIDE) is ...a multigrid scheme that includes a fast multilevel integration of the Fredholm ... See full document

... 1. Introduction. The core computations of many numerical simulation techniques are based on sparse matrices, making it important to provide general purpose high performance software libraries for such structures. The ... See full document

... of multigrid methods, and devised a new inter- polation method to handle coefficients with sharp changes in the gradient of the dielectric coefficient and the Debye parameter of the Debye-H¨ uckel ... See full document

... Acknowledgments. The authors wish to thank Marian Brezina, Jim Jones, Van Henson, David Keyes, Andrea Toselli, Mary Wheeler, Carol Woodward, and Jun Zou for many helpful discussions and Dave Klepacki, Matt Matthews, Mark ... See full document

... When the coefficient β is a piecewise constant, we propose a fast solver by transforming the original problem (1.1) to a Poisson equation with an unknown jump in the normal derivative across the interface Γ. We use a ... See full document

... with multigrid preconditioned conjugate gradient method, for the outer PCG iteration, the initial approximation is selected as zero all the time and the stop criterion is selected as the 2-norm of the residual ... See full document