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Moving interface problems are ubiquitous in science and engineering.
Bensimon, A. et al. Alignment and sensitive detection of DNA by a moving interface.
and a second which has a discretely moving interface (D.M.I).
The ALE method is used to track the moving interface.
The numerical examples include Poisson equation, moving interface problem and a lid-driven incompressible flow problem.
The new method is consistent with the level set approach to dynamic moving interface problems.
A new numerical method for solving geometric moving interface problems is presented.
The level set method has been successfully used for moving interface problems.
A fast modular numerical method for solving general moving interface problems is presented.
A moving interface between oil and water is considered to track the swelling process.
These novel results are attributed to the segregation of Mn to the moving interface.
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