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Theory and Modern Applications

Table 2 \(c=\frac{1}{40}\) \(t=1\)

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

0.2139

 

1.5188

 

1/4

1/8

0.0516

2.0515

0.7759

0.9690

1/8

1/32

0.0105

2.2970

0.3628

1.0967

1/16

1/128

0.0023

2.1907

0.1724

1.0734