Non-overlapping domain decomposition method for a variational inequality with gradient constraints

11th International Conference on "Mesh methods for boundary-value problems and applications"

Lapin, A.^1,2 ; Laitinen, E.^3 ; Lapin, S.^1,4

Kazan (Volga Region) Federal University, Kazan, Russia^1

Tianjin University of Finance and Economics, Tianjin, China^2

University of Oulu, Oulu, Finland^3

Washington State University, Pullman

WA, United States^4

关键词: Initial approximation;    Iterative solution methods;    Non-overlapping domain decomposition methods;    Nonlinear diffusion;    Saddle point problems;    Sub-problems;    Variational inequalities;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012060/pdf
DOI  :  10.1088/1757-899X/158/1/012060

来源: IOP

【 摘 要 】

Non-overlapping domain decomposition method is applied to a variational inequality with nonlinear diffusion-convection operator and gradient constraints. The method is based on the initial approximation of the problem and its subsequent splitting into subproblems. For the resulting constrained saddle point problem block relaxation-Uzawa iterative solution method is applied.