Date: Friday, April 29, 2022
Location: Virtual (3:00 PM to 4:00 PM)
Title: Finite element methods for moving boundary problems based on universal meshes
Abstract: Partial differential equations posed on domains that change with time arise frequently in science and engineering. A typical example is the flow of a fluid around a moving obstacle, where one must solve the NavierStokes equations on the evolving domain occupied by the fluid. Conventional numerical methods for solving such problems typically use one of two approaches: construct a moving mesh for the moving domain, or immerse the moving domain in a fixed background mesh. In this talk, I'll discuss a different approach based on a "universal mesh": a background mesh that adapts to the geometry of the moving domain at all times by adjusting a few elements near the moving boundary. I'll explain how to construct highorder finite element discretizations of movingboundary problems using this approach, and I'll present a framework for proving a priori error estimates for these discretizations.
Files:
Speaker: Evan Gawlik
Institution: University of Hawaii
Event Organizer: Thomas Anderson tganders@umich.edu
