Please note: This PhD seminar will be given online.
Junyu Lai, PhD candidate
David R. Cheriton School of Computer Science
Supervisor: Professor Justin Wan
In this paper, we propose and evaluate fast, scalable approaches for solving the linear complementarity problems (LCP) arising from the fluid pressure equations with separating solid boundary conditions. Specifically, we present a policy iteration method, a penalty method, and a modified multigrid method, and demonstrate that each is able to properly handle the desired boundary conditions. Moreover, we compare our proposed methods against existing approaches and show that our solvers are more efficient and exhibit better scaling behavior; that is, the number of iterations required for convergence is essentially independent of grid resolution, and thus they are faster at larger grid resolutions. For example, on a 2563 grid our multigrid method was 30 times faster than the prior multigrid method in the literature.
To join this PhD seminar virtually on Webex, please go to https://uwaterloo.webex.com/uwaterloo/j.php?MTID=mb63d718ebc836e60928f370b2349e05e.
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