Geodesic
Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients,
Gautier Brèthes1
1 INRIA Sophia Antipolis, 2004 route de Lucioles, 06902 Sophia-Antipolis, France
ESAIM. Proceedings, Tome 45 (2014), pp. 410-419.

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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.
DOI : 10.1051/proc/201445042

Gautier Brèthes 1

1 INRIA Sophia Antipolis, 2004 route de Lucioles, 06902 Sophia-Antipolis, France 
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     author = {Gautier Br\`ethes},
     title = {Adaptive metric-based multigrid for a {Poisson} problem with discontinuous coefficients,},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201445042},
     language = {en},
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Gautier Brèthes. Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients,. ESAIM. Proceedings, Tome 45 (2014), pp. 410-419. doi : 10.1051/proc/201445042. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445042/

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