Table 2
Coercivity estimates and number of Newton Iterations (NIt) for convergence test case two using the grids shown in Figure 1.
NLTPFA |
NLMPFA |
AvgMPFA |
MPFA-O |
MFD |
HFV |
||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
n |
![]() |
NIt |
![]() |
NIt |
![]() |
NIt |
![]() |
NIt |
![]() |
NIt |
![]() |
NIt | |
Checkerboard | 1 | 1.60 | 2 | 1.50 | 5 | 1.61 | 1 | – | – | 1.42 | 1 | 1.24 | 1 |
2 | 1.35 | 2 | 1.29 | 12 | 1.41 | 1 | – | – | 1.42 | 1 | 1.34 | 1 | |
3 | 1.40 | 2 | 1.36 | 20 | 1.41 | 1 | – | – | 1.44 | 1 | 1.41 | 1 | |
4 | 1.43 | 2 | 1.41 | 60 | 1.43 | 1 | – | – | 1.44 | 1 | 1.43 | 1 | |
5 | 1.43 | 2 | 1.43 | 623 | 1.44 | 1 | – | – | 1.44 | 1 | 1.44 | 1 | |
Random | 1 | 1.72 | 2 | 1.69 | 5 | 1.73 | 1 | 1.38 | 1 | 1.53 | 1 | 1.45 | 1 |
2 | 1.68 | 2 | 1.67 | 5 | 1.70 | 1 | 1.53 | 1 | 1.58 | 1 | 1.53 | 1 | |
3 | 1.65 | 2 | 1.64 | 5 | 1.65 | 1 | 1.59 | 1 | 1.61 | 1 | 1.60 | 1 | |
4 | 1.63 | 2 | 1.63 | 3 | 1.63 | 1 | 1.61 | 1 | 1.62 | 1 | 1.62 | 1 | |
5 | 1.63 | 2 | 1.63 | 2 | 1.63 | 1 | 1.61 | 1 | 1.63 | 1 | 1.62 | 1 | |
Non-convex | 1 | 1.70 | 2 | 1.69 | 6 | 1.71 | 1 | 1.26 | 1 | 1.55 | 1 | 1.46 | 1 |
2 | 1.72 | 2 | 1.73 | 7 | 1.72 | 1 | 1.46 | 1 | 1.65 | 1 | 1.61 | 1 | |
3 | 1.69 | 2 | 1.70 | 20 | 1.69 | 1 | 1.52 | 1 | 1.67 | 1 | 1.66 | 1 | |
4 | 1.68 | 2 | 1.68 | 11 | 1.68 | 1 | 1.54 | 1 | 1.67 | 1 | 1.67 | 1 | |
5 | 1.68 | 2 | 1.68 | 8 | 1.68 | 1 | 1.55 | 1 | 1.68 | 1 | 1.68 | 1 | |
Curved | 1 | 1.81 | 2 | 1.73 | 5 | 1.82 | 1 | 1.15 | 1 | 1.52 | 1 | 1.38 | 1 |
2 | 1.67 | 2 | 1.65 | 5 | 1.67 | 1 | 1.34 | 1 | 1.52 | 1 | 1.47 | 1 | |
3 | 1.56 | 2 | 1.58 | 5 | 1.56 | 1 | 1.49 | 1 | 1.52 | 1 | 1.50 | 1 | |
4 | 1.63 | 2 | 1.63 | 9 | 1.63 | 1 | 1.61 | 1 | 1.62 | 1 | 1.61 | 1 | |
5 | 1.66 | 2 | 1.66 | 7 | 1.66 | 1 | 1.66 | 1 | 1.66 | 1 | 1.66 | 1 |