Algorithm 1: ADMM method for solving the proposed model (7)

Input: ${\rho }_1>0$, ${\rho }_2>0$, $\alpha >0$  Initialize: $u^0=f$, ${\lambda }_1^0,{\lambda }_2^0,p^0$   1:while  $\frac{\parallel u^k-u^{k+1}{\parallel }_2}{\parallel u^k{\parallel }_2}>\epsilon$  do   2:    Calculate $w^{k+1}$ by (12),   3:    Calculate $u^{k+1}$ by (14),   4:    Calculate $p^{k+1}$ by (15) or (16),   5:    ${\lambda }_1^{k+1}={\lambda }_1^k+{\rho }_1\left(F{w}^{k+1}-A{u}^{k+1}\right)$,   6:    ${\lambda }_2^{k+1}={\lambda }_2^k+{\rho }_2\left(D{u}^{k+1}-p^{k+1}\right)$,   7:    $k=k+1$,   8:end while