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Theory and Modern Applications

Table 5 \(c=\frac{1}{40}\) \(t=1\)

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

0.2508

 

1.5153

 

1/4

1/8

0.0629

1.9954

0.7779

0.9619

1/8

1/32

0.0125

2.3311

0.3644

1.0941

1/16

1/128

0.0025

2.3219

0.1726

1.0781