期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 77, 期 6, 页码 1655-1667出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.04.032
关键词
Stokes system; Threshold slip conditions; Coulomb's slip; Semismooth Newton method; Interior point method
资金
- Czech Science Foundation [17-01747S]
- Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPU II) project IT4Innovations excellence in science [LQ1602]
- internal BUT FIT project [FIT-S-17-4014]
The theoretical part of the paper analyzes discretized Stokes systems with local Coulomb's slip boundary conditions. Solutions to discrete models are defined by means of fixed-points of an appropriate mapping. We prove the existence of a fixed-point, establish conditions guaranteeing its uniqueness and examine how they depend on the discretization parameter h and the slip coefficient kappa. The second part of the paper is devoted to computational aspects. Numerical experiments are presented. (C) 2018 Elsevier Ltd. All rights reserved.
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