Abstract
We study two iterative schemes for the finite element approximation of the heat equation coupled with Stokes flow under nonlinear slip boundary conditions of friction type. The iterative schemes are based on Uzawa’s algorithm in which we decouple the computation of the velocity and pressure from that of the temperature by means of linearization. We derive some a priori estimates and prove convergence of these schemes. The theoretical results obtained are validated by means of numerical simulations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.