Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method

Table 2

Error discretization for Example 1 with 𝜈=10.

𝑁	Legendre		Chebyshev
	‖𝑒‖0,𝑤,𝑁	‖𝑒‖1,𝑤,𝑁	‖𝑒‖0,𝑤,𝑁	‖𝑒‖1,𝑤,𝑁
4	5.5773𝑒−004	1.8956𝑒−003	2.9508𝑒−003	1.0608𝑒−002
8	1.1177𝑒−008	1.6996𝑒−007	4.4191𝑒−007	9.3991𝑒−006
12	9.6555𝑒−014	2.6250𝑒−012	9.2719𝑒−012	4.4550𝑒−010
16	1.9355𝑒−015	2.2839𝑒−014	1.4037𝑒−014	1.2251𝑒−013
20	5.8201𝑒−015	6.8838𝑒−014	3.8994𝑒−014	3.2236𝑒−013