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Theory and Modern Applications

Table 8 \(c=\frac{1}{40}\) \(t=1\)

From: Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem

Δt

h

\(L^{2}\) error

\(L^{2}\) error order

\(H^{1}\) error

\(H^{1}\) error order

1/2

1/2

0.2509

 

1.5154

 

1/4

1/8

0.0651

1.9464

0.7737

0.9699

1/8

1/32

0.0138

2.2380

1.3764

1.0395

1/16

1/128

0.0099

0.4792

0.2169

0.7952