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Theory and Modern Applications

Table 10 \(c=2\) \(t=1\)

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

0.2527

 

1.5252

 

1/4

1/8

0.0699

1.8541

0.7998

0.9313

1/8

1/32

0.0193

1.8567

0.3919

1.0292

1/16

1/128

0.0135

 

0.2266

0.7903