@Article{AAMM-9-6,
author = {Weidong, Shi and Xu, Jianjun and Shu, Shi},
title = {An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {6},
pages = {1364--1382},
abstract = {<p style="text-align: justify;">A new Semi-Lagrangian scheme is proposed to discretize the surface
convection-diffusion equation. The other involved equations including the level-set
convection equation, the re-initialization equation and the extension equation are
also solved by S-L schemes. The S-L method removes both the CFL condition and the
stiffness caused by the surface Laplacian, allowing larger time step than the Eulerian
method. The method is extended to the block-structured adaptive mesh. Numerical
examples are given to demonstrate the efficiency of the S-L method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0052},
url = {https://global-sci.com/article/73307/an-adaptive-semi-lagrangian-level-set-method-for-convection-diffusion-equations-on-evolving-interfaces}
}