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Table 1 Error (%) for nodes position displacement on analytical test cases for different refinement of 2D meshes

From: An upwind least square formulation for free surfaces calculation of viscoplastic steady-state metal forming problems

Mesh size

Gaussian function

Sine function

3D example

Coarse

Fine

Coarse

Fine

Coarse

Fine

Galerkin

No convergence

Not tested

SUPG

0.08 (0.91)

0.02 (0.38)

1.69 (0.21)

0.42 (0.08)

LS

0.80 (6.42)

0.22 (2.98)

7.41 (1.48)

1.67 (0.56)

51.9 (353)

62.1 (945)

LS_supg

0.22 (2.36)

0.04 (0.85)

5.19 (0.57)

1.85 (0.26)

2.7 (9.6)

0.5 (3.37)

LS_sl

0.18 (3.78)

0.04 (2.47)

4.84 (0.56)

1.84 (0.28)

2.6 (10.6)

1.6 (11.5)

  1. Infinite and L2 (in parenthesis) norms are presented.