Table 1 Approximate error of the stabilized finite element scheme for test 1

h

\(\|\mathbf{u}_{f}^{h}-\mathbf{u}_{f}\|_{0,\Omega _{f}}\)

\(\|\mathbf{u}_{f}^{h}-\mathbf{u}_{f}\|_{1,\Omega _{f}}\)

\(\|p^{h}-p\|_{0,\Omega _{f}}\)

\(\|\phi ^{h}-\phi \|_{0,\Omega _{p}}\)

\(\|\phi ^{h}-\phi \|_{1,\Omega _{p}}\)

\(\|\mathbf{u}^{h}_{p}-\mathbf{u}_{p}\|_{0,\Omega _{p}}\)