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Fixed Point Theory and Algorithms for Sciences and Engineering

Table 1 Convergence orders of the errors with \(h=k\)

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

1/8

1/8

1.1919E-1

–

1/16

1/16

6.4970E-2

0.8754

1/32

1/32

3.3671E-2

0.9482

1/64

1/64

1.5125E-2

1.1546

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