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Title: A fully implicit, nonlinear adaptive grid strategy
Authors: Chacon, L ×
Lapenta, Giovanni #
Issue Date: 2005
Publisher: Academic press inc elsevier science
Series Title: Journal of computational physics vol:212 issue:2 pages:703-717
Abstract: We propose an efficient, fully implicit, nonlinear solver for the Beltrami grid generation equation. The Beltrami equation is obtained using Harmonic map theory, and therefore the existence and uniqueness of a solution is guaranteed. The nonlinear solver strategy is based on Newton-Krylov methods, preconditioned here with a multigrid-based method for scalability. Numerical experiments performed for both grid adaptation and grid alignment are presented and demonstrate optimal scaling under grid refinement. We therefore conclude that such a fully nonlinear approach is indeed feasible and efficient. (c) 2005 Elsevier Inc. All rights reserved.
URI: 
ISSN: 0021-9991
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Plasma-astrophysics Section
× corresponding author
# (joint) last author

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