Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method

Table 7

Error discretization for 𝐶=0.1 and 𝑏=10 for Example 4.

𝑁	Legendre		Chebyshev
	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1
4	6.8137𝑒−002	6.3727𝑒−001	1.9207𝑒−002	1.6189𝑒−001
8	1.1985𝑒−004	1.5547𝑒−003	4.4413𝑒−004	6.4158𝑒−003
12	6.4970𝑒−006	6.6403𝑒−005	3.2776𝑒−005	4.0270𝑒−004
16	2.7904𝑒−007	2.7133𝑒−006	1.2055𝑒−006	1.7195𝑒−005
20	9.2791𝑒−009	8.8367𝑒−008	5.5347𝑒−008	9.3584𝑒−007
24	2.7288𝑒−010	2.7397𝑒−009	1.5502𝑒−009	2.7927𝑒−008