Introduction to Multilevel Iterative Methods


Over the last few decades, intensive research has been done on developing efficient parallel iterative solvers for PDEs. One useful mathematical technique that has drawn a lot of attention is multilevel iterative solvers and preconditioners. In this seminar series, we will discuss development of multilevel iterative solvers for solving partial differential equations. The format of this seminar is a mixed of blackboard-based lectures on fundamentals and talks on more advanced research topics.

Lecture Time: Tue 10:00am--11:45am
Location: Tencent Online Meeting https://meeting.tencent.com/s/FWvAkuODReP4
Conference ID: 937 3598 5144, Password: 123456

Schedule:
  • Lecture 1 (Sep/15/2020): Introduction
  • Lecture 2 (Sep/22/2020): Simple iterative methods
  • Lecture 3 (Sep/29/2020): A multigrid tutorial
  • Lecture 4 (Oct/13/2020): Two-grid methods
  • Project proposal (Oct/15/2020 Oct/20/2020): Final project proposal due
  • Lecture 5 (Oct/20/2020): Method of subspace corrections
  • Lecture 6 (Oct/27/2020): Examples of MSC
  • Lecture 7 (Nov/03/2020): Algebraic multigrid methods
  • Lecture 8 (Nov/10/2020): Preconditioned Krylov subspace methods
  • Lecture 9 (Nov/17/2020): Robustness of iterative methods
  • Lecture 10 (Nov/24/2020): Applications of multilevel iterative methods
  • Final project (Dec/01/2020 Dec/25/2020): Final project due


Course Syllabus
Lecture note (version 2020.07.31)
Office hours: Mon 13:30pm—15:30pm (walk-in Z210 or online Tencent Meeting)