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Fixed Point Theory and Algorithms for Sciences and Engineering

Table 3 Convergence orders of the errors with fixed spatial 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

1/128

1/8

6.3619E-2

–

1/128

1/16

3.3138E-2

0.9410

1/128

1/32

1.5130E-2

1.1311

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