A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method

Table 2

The convergence rates of RMSE with different disturbance constants and bases.

	MLS		SRMLS (β = 1.0E − 1)		SRMLS (β = 1.0E − 3)		SRMLS (β = 1.0E − 5)		SRMLS (β = 1.0E − 7)
	Linear	Quadratic	Linear	Quadratic	Linear	Quadratic	Linear	Quadratic	Linear	Quadratic
f	1.983	—	1.990	2.674	1.990	3.163	1.990	3.163	1.990	3.163
f,x	1.176	—	1.175	1.488	1.176	2.203	1.176	2.203	1.176	2.203
f,y	1.126	—	1.125	1.525	1.126	2.109	1.126	2.109	1.126	2.109
f,xx	—	—	—	0.345	—	1.339	—	1.340	—	1.340
f,xy	—	—	—	0.738	—	1.317	—	1.318	—	1.318
f,yy	—	—	—	0.506	—	1.218	—	1.218	—	1.218