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Fixed Point Theory and Algorithms for Sciences and Engineering

Table 2 Convergence orders of the errors with fixed time step-size

From: Numerical analysis of doubly-history dependent variational inequalities in contact mechanics

h

k

\(\Vert \mathbf {u}(\cdot,T)-\mathbf {u}^{kh}_{N} \Vert _{1}\)

Order

1/16

1/128

4.9313E-2

–

1/32

1/128

2.7174E-2

0.8598

1/64

1/128

1.3199E-2

1.0418

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