Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method

Table 3

Error discretization for Example 1 with 𝜈=0 and different polynomial order approximation.

𝑁	Legendre		Chebyshev
	‖𝑒‖0,𝑤,𝑁	‖𝑒‖1,𝑤,𝑁	‖𝑒‖0,𝑤,𝑁	‖𝑒‖1,𝑤,𝑁
4	4.9405𝑒−06	1.7071𝑒−05	6.9900𝑒−06	3.0687𝑒−05
8	3.9907𝑒−11	8.5880𝑒−10	7.8331𝑒−11	1.8586𝑒−09
12	9.2143𝑒−16	3.0729𝑒−14	1.3772𝑒−15	4.9032𝑒−14
16	1.1960𝑒−15	5.2617𝑒−14	2.7186𝑒−15	1.4533𝑒−13
20	8.8007𝑒−16	1.6103𝑒−14	2.9963𝑒−15	1.8952𝑒−14