Some new analysis results for a class of interface problems.
Some new analysis results for a class of interface problems.
复制标题
一类界面问题的一些新的分析结果。
DOI：
10.1002/mma.2865
复制
发表时间：
2015
影响因子：
2.9
通讯作者：
Zeng,Ke
中科院分区：
文献类型：
--
作者：
Li,Zhilin;Wang,Li;Aspinwall,Eric;Cooper,Racheal;Kuberry,Paul;Sanders,Ashley;Zeng,Ke
Interface problems modeled by differential equations have many applications in mathematical biology, fluid mechanics, material sciences, and many other areas. Typically, interface problems are characterized by discontinuities in the coefficients and/or the Dirac delta function singularities in the source term. Because of these irregularities, solutions to the differential equations are not smooth or discontinuous. In this paper, some new results on the jump conditions of the solution across the interface are derived using the distribution theory and the theory of weak solutions. Some theoretical results on the boundary singularity in which the singular delta function is at the boundary are obtained. Finally, the proof of the convergency of the immersed boundary (IB) method is presented. The IB method is shown to be first‐order convergent inL∞norm. Copyright © 2013 John Wiley & Sons, Ltd.
