notesum.ai

Published at November 27

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity

math.NA

cs.NA

Released Date: November 27, 2024

Authors: Yasuhiro Matsumoto¹, Taizo Maruyama²

Aff.: ¹Center for Information Infrastructure, Institute of Science Tokyo, 2-12-1-I8-21, Ookayama, Meguro-ku, Tokyo, 152-8550, Japan; ²Department of Civil and Environmental Engineering, Institute of Science Tokyo, 2-12-1 W8-W302, Ookayama, Meguro-ku, Tokyo, 152-8550, Japan

Arxiv: http://arxiv.org/abs/2411.18026v1

$N$	$L$	$\ell_{0}$	$\varepsilon=10^{-8}$	$\varepsilon=10^{-9}$	$\varepsilon=10^{-10}$
$400$	2	1	$8.479\times 10^{-9}$	$4.131\times 10^{-10}$	$2.790\times 10^{-11}$
$800$	3	1	$1.881\times 10^{-8}$	$2.590\times 10^{-9}$	$9.346\times 10^{-11}$
$1600$	4	1	$5.784\times 10^{-8}$	$7.717\times 10^{-9}$	$6.191\times 10^{-10}$
$3200$	5	1	$3.308\times 10^{-7}$	$1.801\times 10^{-8}$	$2.016\times 10^{-9}$
$6400$	6	1	$8.404\times 10^{-7}$	$1.380\times 10^{-7}$	$1.037\times 10^{-8}$