An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces

Abstract

We develop and analyze an immersed Eulerian-Lagrangian localized adjoint method (ImELLAM) for transient advection-diffusion equations with interfaces. The derived method possesses the combined advantages of the immersed finite element method and the Eulerian-Lagrangian method.