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Original scientific paper https://doi.org/10.2298/TSCI1904323Z In this paper, we consider a Stokes problem arising in fluid dynamics and thermal science, which can be transformed to a symmetric saddle point problem by using the mixed finite element approximation. A relaxed non-linear inexact Uzawa algorithm is proposed for solving the problem, and the convergence of this algorithm is also considered. Numerical experiments are presented to show the efficiency of relaxed non-linear inexact Uzawadoi:10.1007/s40314-019-0815-7 fatcat:u7jv2xcejrgbxd6xsbou5563xm