Research Article

Null Field and Interior Field Methods for Laplace’s Equation in Actually Punctured Disks

Table 5

The errors and condition numbers by the simple particular solutions of the CTM, where and .

Cond Cond_eff

1 ( ) 1.58 (−9) 1.57 (−9) 7.62 3.03
0.5 ( ) 8.68 (−12) 8.32 (−12) 4.59 3.93
0.1 ( ) 1.21 (−12) 1.19 (−12) 1.31 (1) 1.21 (1)
( ) 6.54 (−13) 6.41 (−13) 5.17 (1) 4.39 (1)
( ) 4.57 (−13) 4.48 (−13) 1.93 (2) 1.57 (2)
( ) 3.51 (−13) 3.44 (−13) 6.44 (2) 5.11 (2)