典型文献
A θ-L APPROACH FOR SOLVING SOLID-STATE DEWETTING PROBLEMS
文献摘要：
We propose a θ-L approach for solving a sharp-interface model about simulating solid-state dewetting of thin films with isotropic/weakly anisotropic surface energies.The sharp-interface model is governed by surface diffusion and contact line migration.For solving the model,traditional numerical methods usually suffer from the severe stability constraint and/or the mesh distribution trouble.In the θ-L approach,we introduce a useful tangential velocity along the evolving interface and utilize a new set of variables(i.e.,the tangential angle θ and the total length L of the interface curve),so that it not only could reduce the stiffness resulted from the surface tension,but also could ensure the mesh equidistri-bution property during the evolution.Furthermore,it can achieve second-order accuracy when implemented by a semi-implicit linear finite element method.Numerical results are reported to demonstrate that the proposed θ-L approach is efficient and accurate.
文献关键词：
中图分类号：
作者姓名：
Weijie Huang;Wei Jiang;Yan Wang
作者机构：
Beijing Computational Science Research Center,Beijing 100193,China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China;Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan 430072,China;School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China
文献出处：
引用格式：
[1]Weijie Huang;Wei Jiang;Yan Wang-.A θ-L APPROACH FOR SOLVING SOLID-STATE DEWETTING PROBLEMS)[J].计算数学（英文版）,2022(02):275-293
A类：
APPROACH,SOLVING,STATE,DEWETTING,PROBLEMS,equidistri
B类：
FOR,SOLID,We,approach,solving,sharp,interface,model,about,simulating,solid,state,dewetting,thin,films,weakly,anisotropic,surface,energies,governed,by,diffusion,contact,migration,For,traditional,numerical,methods,usually,suffer,from,severe,stability,constraint,mesh,distribution,trouble,In,introduce,useful,tangential,velocity,along,evolving,utilize,new,set,variables,angle,total,length,curve,that,not,only,could,reduce,stiffness,resulted,tension,also,ensure,property,during,evolution,Furthermore,can,achieve,second,order,accuracy,when,implemented,semi,implicit,linear,finite,element,Numerical,results,are,reported,demonstrate,proposed,efficient,accurate
AB值：
0.624377
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