Table 1 Comparison of uniform mesh and adaptive mesh

u-elements

15,872

1,148

u-sides

23,968

1,868

u-nodes

8,097

721

y,p-elements

15,872

1,754

y,p-sides

23,968

2,725

y,p-nodes

8,097

972

${\parallel u-u_h\parallel }_{L^2(J;L^2(\partial \mathrm{\Omega }))}$

4.38920e-02

4.27977e-02

${\parallel y-y_h\parallel }_{L^2(J;H^1(\mathrm{\Omega }))}$

9.80281e-02

9.62631e-02

${\parallel p-p_h\parallel }_{L^2(J;H^1(\mathrm{\Omega }))}$

4.39287e-03

4.17962e-03