Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method

Table 6

Error discretization for 𝐶=0.1 and 𝑏=10 for Example 3.

𝑁	Legendre		Chebyshev
	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1
4	2.6272𝑒−003	2.2570𝑒−002	4.1173𝑒−002	3.3693𝑒−001
8	5.8242𝑒−005	4.0589𝑒−004	2.8852𝑒−004	1.9806𝑒−003
12	2.1978𝑒−006	1.1109𝑒−005	1.1563𝑒−005	7.9872𝑒−005
16	6.9459𝑒−008	3.2385𝑒−007	4.1120𝑒−007	2.9190𝑒−006
20	2.1169𝑒−009	9.5229𝑒−009	1.3164𝑒−008	1.1530𝑒−007
24	6.3490𝑒−011	2.8077𝑒−010	4.3819𝑒−010	3.1670𝑒−009