Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 7, 2022 - 12:00 to 12:50

Location:

STAG 111 and ZOOM

Event Link:

Guest Speaker:

Zachary Hillard

Institution:

Oregon State University, Mathematics Department

Abstract:

Many partial differential equations (PDEs) can be formulated as the gradient descent of an energy functional in an appropriate function space. The heat equation, biharmonic heat equation, Allen-Cahn equation, and Cahn-Hilliard equation are all examples of this. In this talk, we will discuss how to formulate these PDEs as gradient descents and how to use this energy functional to our advantage when solving the Cahn-Hilliard equation. The result is effectively a parameter-free adaptive time stepping method that works with any temporal discretization method.