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| Two-Level Additive Schwarz Methods Using Rough Polyharmonic Splines-Based Coarse Spaces |
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Citation： |
Rui DU,Lei ZHANG.Two-Level Additive Schwarz Methods Using Rough Polyharmonic Splines-Based Coarse Spaces[J].Chinese Annals of Mathematics B,2015,36(5):803~812 |
| Page view： 1185
Net amount： 1018 |
Authors： |
Rui DU; Lei ZHANG |
Foundation： |
The work of Lei Zhang was supported by the National
Natural Science Foundation of China (No.11471214) and the One
Thousand Plan of China for young scientists. |
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| Abstract： |
This paper introduces a domain decomposition preconditioner for
elliptic equations with rough coefficients. The coarse space of the
domain decomposition method is constructed via the so-called rough
polyharmonic splines (RPS for short). As an approximation space of
the elliptic problem, RPS is known to recover the quasi-optimal
convergence rate and attain the quasi-optimal localization property.
The authors lay out the formulation of the RPS based domain
decomposition preconditioner, and numerically verify the performance
boost of this method through several examples. |
Keywords： |
Numerical homogenization, Domain decomposition, Two-level Schwarz
additive preconditioner, Rough polyharmonic splines |
Classification： |
35B27, 41A15, 65N55 |
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