scholarly journals NONLINEAR MULTIGRID SOLVER EXPLOITING AMGe COARSE SPACES WITH APPROXIMATION PROPERTIES

2016 ◽  
Author(s):  
Max La Cour Christensen ◽  
Umberto E. Villa ◽  
Allan P. Engsig-Karup ◽  
Panayot S. Vassilevski
Keyword(s):  
Approximation Properties ◽  
Multigrid Solver ◽  
Nonlinear Multigrid

A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere

2000 ◽  
Vol 21 (6) ◽  
pp. 2381-2395 ◽  
Author(s):  
John W. Ruge ◽  
Yong Li ◽  
Steve McCormick ◽  
Achi Brandt ◽  
J. R. Bates
Keyword(s):  
Shallow Water ◽  
Potential Vorticity ◽  
Water Model ◽  
Shallow Water Model ◽  
Multigrid Solver ◽  
Nonlinear Multigrid

scholarly journals Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties

2018 ◽  
Vol 340 ◽  
pp. 691-708 ◽  
Author(s):  
Max la Cour Christensen ◽  
Panayot S. Vassilevski ◽  
Umberto Villa
Keyword(s):  
Approximation Properties ◽  
Multigrid Solvers ◽  
Nonlinear Multigrid

A parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU cluster

2020 ◽  
Vol 414 ◽  
pp. 109447
Author(s):  
Xiaolei Shi ◽  
Tanmay Agrawal ◽  
Chao-An Lin ◽  
Feng-Nan Hwang ◽  
Tzu-Hsuan Chiu
Keyword(s):  
Incompressible Flow ◽  
Flow Simulation ◽  
Multigrid Solver ◽  
Gpu Cluster ◽  
Nonlinear Multigrid

Modified algorithm for fast bandwidth selection for kernel estimates of multidimensional probability densities

2020 ◽  
pp. 9-13
Author(s):  
A. V. Lapko ◽  
V. A. Lapko
Keyword(s):  
Probability Density ◽  
Optimal Parameter ◽  
Random Variables ◽  
Kernel Functions ◽  
Independent Random Variables ◽  
Functional Dependencies ◽  
Approximation Properties ◽  
Probability Density Estimation ◽  
Multidimensional Probability ◽  
Selection Of

An original technique has been justified for the fast bandwidths selection of kernel functions in a nonparametric estimate of the multidimensional probability density of the Rosenblatt–Parzen type. The proposed method makes it possible to significantly increase the computational efficiency of the optimization procedure for kernel probability density estimates in the conditions of large-volume statistical data in comparison with traditional approaches. The basis of the proposed approach is the analysis of the optimal parameter formula for the bandwidths of a multidimensional kernel probability density estimate. Dependencies between the nonlinear functional on the probability density and its derivatives up to the second order inclusive of the antikurtosis coefficients of random variables are found. The bandwidths for each random variable are represented as the product of an undefined parameter and their mean square deviation. The influence of the error in restoring the established functional dependencies on the approximation properties of the kernel probability density estimation is determined. The obtained results are implemented as a method of synthesis and analysis of a fast bandwidths selection of the kernel estimation of the two-dimensional probability density of independent random variables. This method uses data on the quantitative characteristics of a family of lognormal distribution laws.

Viscous flow analysis using a parallel unstructured multigrid solver

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 2067-2076
Author(s):  
Dimitri J. Mavriplis
Keyword(s):  
Viscous Flow ◽  
Flow Analysis ◽  
Multigrid Solver
Sign in / Sign up

Export Citation Format

Share Document