Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method

Table 4

Error discretization for Example 2.

𝑁	Legendre		Chebyshev
	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1	‖𝑒‖𝐿^2	‖𝑒‖𝐻^1
4	9.8536𝑒−003	3.0592𝑒−002	3.4684𝑒−002	1.3468𝑒−001
8	9.1221𝑒−005	4.0228𝑒−004	2.8844𝑒−003	2.7245𝑒−002
12	1.1707𝑒−006	4.6568𝑒−006	1.3341𝑒−004	4.3786𝑒−004
16	1.6054𝑒−008	6.5734𝑒−008	4.3721𝑒−006	1.4678𝑒−005
20	2.6242𝑒−010	1.1509𝑒−009	1.4114𝑒−007	4.8193𝑒−007
24	4.1610𝑒−012	2.1953𝑒−011	4.4900𝑒−009	1.5529𝑒−008