Fast iterative algorithms based on optimized explicit time stepping
type: Item
instance of: scholarly article
title: Fast iterative algorithms based on optimized explicit time stepping
zbMATH Open document ID: 0609.65037
DOI: 10.1016/0045-7825(87)90122-8
author: Chung-Yuan Huang
author: George S. Dulikravich
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The generalized nonlinear minimal residual (GNLMR) method is shown to consistently accelerate and stabilize iterative algorithms for solving nonlinear problems by using the optimized explicit multistepping. The examples presented in this paper illustrate the beneficial effects of the optimized multistep algorithm on the computational efficiency and the convergence rate as applied to several nonlinear problems in fluid dynamics. The significant reduction in computing time when using the multiple optimized acceleration factors is negligibly weighed down by the computation costs due to the requirements for additional computer storage.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 3986543
zbMATH Keywords: convergence acceleration
zbMATH Keywords: stabilization of iterative algorithms
zbMATH Keywords: generalized nonlinear minimal residual method
zbMATH Keywords: optimized explicit multistepping
zbMATH Keywords: computational efficiency
zbMATH Keywords: convergence rate
zbMATH Keywords: computation costs
zbMATH Keywords: relaxation
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90122-8
OpenAlex ID: W2025678870
cites work: Q3208026
cites work: Optimum acceleration factors for iterative solution of linear and nonlinear differential systems
cites work: Q3323179
cites work: Generalized nonlinear minimal residual (GNLMR) method for iterative algorithms
cites work: Stream function and stream-function-coordinate (SFC) formulation for inviscid flow field calculations
cites work: Q3707258
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
description: scientific article; zbMATH DE number 3986543