Computing and Visualization in Science, volume 18, issue 2-3, pages 53-63
The influence of partitioning on Domain Decomposition convergence rates
Publication type: Journal Article
Publication date: 2017-01-20
Q1
SJR: 1.237
CiteScore: —
Impact factor: —
ISSN: 14329360, 14330369
General Engineering
Computational Theory and Mathematics
Software
Theoretical Computer Science
Computer Vision and Pattern Recognition
Modeling and Simulation
Abstract
This paper discusses the effects that partitioning has on the convergence rate of Domain Decomposition. When Finite Elements are employed to solve a second order elliptic partial differential equation with strong convection and/or anisotropic diffusion, the shape and alignment of a partition’s parts significantly affect the Domain Decomposition convergence rate. Given a PDE, if b is the direction of convection or the prominent direction of anisotropic diffusion, then if one considers traversing the domain in the direction of b, partitions having fewer parts to traverse in this direction converge faster while partitions having more converge slower.
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Bank R. E., Deotte C. The influence of partitioning on Domain Decomposition convergence rates // Computing and Visualization in Science. 2017. Vol. 18. No. 2-3. pp. 53-63.
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Bank R. E., Deotte C. The influence of partitioning on Domain Decomposition convergence rates // Computing and Visualization in Science. 2017. Vol. 18. No. 2-3. pp. 53-63.
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TY - JOUR
DO - 10.1007/s00791-016-0271-5
UR - https://doi.org/10.1007/s00791-016-0271-5
TI - The influence of partitioning on Domain Decomposition convergence rates
T2 - Computing and Visualization in Science
AU - Bank, Randolph E.
AU - Deotte, Chris
PY - 2017
DA - 2017/01/20
PB - Springer Nature
SP - 53-63
IS - 2-3
VL - 18
SN - 1432-9360
SN - 1433-0369
ER -
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@article{2017_Bank,
author = {Randolph E. Bank and Chris Deotte},
title = {The influence of partitioning on Domain Decomposition convergence rates},
journal = {Computing and Visualization in Science},
year = {2017},
volume = {18},
publisher = {Springer Nature},
month = {jan},
url = {https://doi.org/10.1007/s00791-016-0271-5},
number = {2-3},
pages = {53--63},
doi = {10.1007/s00791-016-0271-5}
}
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MLA
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Bank, Randolph E., and Chris Deotte. “The influence of partitioning on Domain Decomposition convergence rates.” Computing and Visualization in Science, vol. 18, no. 2-3, Jan. 2017, pp. 53-63. https://doi.org/10.1007/s00791-016-0271-5.