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

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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.

Keywords:

Advection-diffusion problem Eulerian-Lagrangian method error estimate immersed finite element method interfaces.
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