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Numerical methods and HPC
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Table 1

Coercivity estimates and number of Newton iterations (NIt) for convergence test case one using the grids shown in Figure 1.

NLTPFA
 NLMPFA
AvgMPFA
MPFA-O
MFD
HFV
n NIt NIt NIt NIt NIt NIt
Checkerboard 1 0.16 2 0.17 4 0.16 1 – – 0.16 1 0.21 1
2 0.34 2 0.34 7 0.33 1 – – 0.33 1 0.35 1
3 0.35 2 0.35 7 0.35 1 – – 0.35 1 0.35 1
4 0.35 2 0.35 7 0.35 1 – – 0.35 1 0.35 1
5 0.35 2 0.35 9 0.35 1 – – 0.35 1 0.35 1
Random 1 0.35 2 0.37 4 0.35 1 0.33 1 0.36 1 0.38 1
2 0.36 2 0.37 3 0.36 1 0.34 1 0.36 1 0.37 1
3 0.39 2 0.40 3 0.39 1 0.38 1 0.39 1 0.39 1
4 0.39 2 0.39 3 0.39 1 0.38 1 0.39 1 0.39 1
5 0.39 2 0.39 2 0.39 1 0.39 1 0.39 1 0.39 1
Non-convex 1 0.36 2 0.38 3 0.36 1 0.31 1 0.37 1 0.39 1
2 0.40 2 0.41 3 0.40 1 0.34 1 0.40 1 0.40 1
3 0.41 2 0.41 3 0.41 1 0.36 1 0.40 1 0.41 1
4 0.41 2 0.41 3 0.41 1 0.37 1 0.41 1 0.41 1
5 0.40 2 0.40 2 0.40 1 0.37 1 0.40 1 0.40 1
Curved 1 0.32 2 0.33 3 0.32 1 0.29 1 0.33 1 0.35 1
2 0.36 2 0.36 3 0.36 1 0.32 1 0.36 1 0.36 1
3 0.37 2 0.37 3 0.37 1 0.35 1 0.37 1 0.37 1
4 0.39 2 0.39 3 0.39 1 0.38 1 0.39 1 0.39 1
5 0.40 2 0.40 2 0.40 1 0.40 1 0.40 1 0.40 1

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