Numerical simulations for some new epitaxial thin film models

来源 :2014 Workshop on Recent Advances in Numerical Analysis(2014数 | 被引量 : 0次 | 上传用户:xiaoyuerlga
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In 2006,Evans,Thiel and Bartelt proposed one new continuum evolution equations to model the growth of the the thin films.In this talk,we will discuss the energy structure of the model,and convex-concave splitting method is applied to derive their linear numerical schemes,by treating the convex part implicitly and the concave part explicitly.We present the properties of our numerical schemes such as the growth rate estimates of physically quantity named as the surface roughness,unconditional solvability and stability,local-in-time convergence,and long time behavior of the schemes.
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