TY - JOUR T1 - An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 29 EP - 42 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/609.html KW - Advection-diffusion problem, Eulerian-Lagrangian method, error estimate, immersed finite element method, interfaces. AB -

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.