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Published at November 21

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in $H(\mathrm{div})$

math.NA

Released Date: November 21, 2024

Authors: Will Pazner¹

Aff.: ¹Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR

Arxiv: http://arxiv.org/abs/2411.14561v1

$\eta=10^{4}$
	$n$	$\kappa(A)$	$\kappa(B_{\mathrm{sub}}A)$	$\kappa(B_{\mathrm{fic}}A)$	$\kappa(B_{\mathrm{aux}}F)$
$p=2$	4	$1.66\times 10^{6}$	$6.00$	$2.84$	$3.93$
$p=2$	8	$6.67\times 10^{6}$	$6.72$	$3.31$	$4.85$
$p=2$	16	$2.67\times 10^{7}$	$7.07$	$3.45$	$5.14$
$p=3$	4	$2.13\times 10^{6}$	$6.00$	$1.84$	$4.31$
$p=4$	4	$2.69\times 10^{6}$	$6.00$	$1.65$	$4.43$
$p=5$	4	$4.13\times 10^{6}$	$6.00$	$1.58$	$4.32$