Matrix-free conjugate gradient implementation of implicit schemes
type: Item
instance of: scholarly article
title: Matrix-free conjugate gradient implementation of implicit schemes
zbMATH Open document ID: 1417.65198
DOI: 10.1134/S0965542518080043
author: N. G. Burago
author: I. S. Nikitin
published in: Computational Mathematics and Mathematical Physics
publication date: 2019-01-10T00:00:00Z
review text: A matrix-free implementation of the conjugated-gradient method is described and applied to large algebraic systems arising when discretizing problems in continuum mechanics with implicit schemes. The proposed implementation implies reduced memory and increased computational efficiency.\par Moreover, the algorithm is robust and simple to implement. Examples are given in one, two and three space dimensions, for supersonic gas dynamics problems on moving adaptive grids discretized implicitly, the mechanics of a viscous incompressible fluids and the mechanics of solids.
reviewed by: Kai Schneider
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 76K05
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6999534
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: matrix-free implementation
zbMATH Keywords: implicit schemes
zbMATH Keywords: continuum mechanics
MaRDI profile type: Publication
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full work available at URL: s0965542518080043
OpenAlex ID: W2893925538
Wikidata QID: Q129182460
description: scientific article; zbMATH DE number 6999534