Well-conditioned boundary integral formulations for the ... - Njit

0.4
0.39
0.38
Coercivity constant B k,k,0.4k
1/3
0.37
0.36
0.35
0.34
0.33
0.32
0.31
50 100 150 200 250 300 350 400 450 500
k
3.2
3.1
3
Condition numbers B k,k,0.4k
1/3
2.9
2.8
2.7
2.6
2.5
2.4
2.3
2.2
50 100 150 200 250 300 350 400 450 500
k
Figure 3: Plots of the coercivity constants (top) and condition numbers (bottom) of the operators
B k,2,k,0.4k 1/3 for 5041 values of the wavenumber k from k = 8 to k = 512.
30