caa a22 4500 445831111 CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-011-0063-0 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0063-0 Uzawa iteration method for stokes type variational inequality of the second kind [Elektronische Daten] [Yuan Li, Kai-tai Li] In this paper, the Uzawa iteration algorithm is applied to the Stokes problem with nonlinear slip boundary conditions whose variational formulation is the variational inequality of the second kind. Firstly, the multiplier in a convex set is introduced such that the variational inequality is equivalent to the variational identity. Moreover, the solution of the variational identity satisfies the saddle-point problem of the Lagrangian functional L. Subsequently, the Uzawa algorithm is proposed to solve the solution of the saddle-point problem. We show the convergence of the algorithm and obtain the convergence rate. Finally, we give the numerical results to verify the feasibility of the Uzawa algorithm. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 Stokes problem nationallicence nonlinear slip boundary nationallicence variational inequality nationallicence Uzawa iteration algorithm nationallicence Li Yuan College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China aut Li Kai-tai College of Science, Xi'an Jiaotong University, 710049, Xi'an, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 303-316 0168-9673 27:2<303 2011 27 10255 https://doi.org/10.1007/s10255-011-0063-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0063-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Yuan College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, China aut NATIONALLICENCE 700 1- Li Kai-tai College of Science, Xi'an Jiaotong University, 710049, Xi'an, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 303-316 0168-9673 27:2<303 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer