Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **

Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **

In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation. First, we define independently an Hessian-based mesh adaptation loop and a FMG algorithm where, at each phase, the equatio...

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Main Author: Brèthes Gautier
Format: Article
Language:English
Published: EDP Sciences 2014-09-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201445042
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spelling doaj-419f4c341dce45f9a94e68030d4012c82021-07-15T14:07:21ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014541041910.1051/proc/201445042proc144542Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **Brèthes Gautier0INRIA Sophia AntipolisIn order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation. First, we define independently an Hessian-based mesh adaptation loop and a FMG algorithm where, at each phase, the equation is solved by a preconditioned GMRES with multigrid as preconditioner. Then we insert the adaptive loop between the FMG phases. We use this new algorithm and we compare its results with those obtained with non-adaptive FMG.http://dx.doi.org/10.1051/proc/201445042
collection DOAJ
language English
format Article
sources DOAJ
author Brèthes Gautier
spellingShingle Brèthes Gautier
Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
ESAIM: Proceedings and Surveys
author_facet Brèthes Gautier
author_sort Brèthes Gautier
title Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
title_short Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
title_full Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
title_fullStr Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
title_full_unstemmed Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
title_sort adaptive metric-based multigrid for a poisson problem with discontinuous coefficients*, **
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2014-09-01
description In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation. First, we define independently an Hessian-based mesh adaptation loop and a FMG algorithm where, at each phase, the equation is solved by a preconditioned GMRES with multigrid as preconditioner. Then we insert the adaptive loop between the FMG phases. We use this new algorithm and we compare its results with those obtained with non-adaptive FMG.
url http://dx.doi.org/10.1051/proc/201445042
work_keys_str_mv AT brethesgautier adaptivemetricbasedmultigridforapoissonproblemwithdiscontinuouscoefficients
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