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Volume 9, Issue 1
An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces

K. Wang, H. Wang & X. Yu

Int. J. Numer. Anal. Mod., 9 (2012), pp. 29-42.

Published online: 2012-09

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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.

  • AMS Subject Headings

65N15, 65N30, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-29, author = {K. Wang, H. Wang and X. Yu}, title = {An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/609.html} }
TY - JOUR T1 - An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces AU - K. Wang, H. Wang & X. Yu 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.

K. Wang, H. Wang and X. Yu. (2012). An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces. International Journal of Numerical Analysis and Modeling. 9 (1). 29-42. doi:
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