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

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

Year:    2012

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 29–42

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-IJNAM-609

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 29–42

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

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