Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions
Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions
复制标题
二维弹性和流动性问题的积分方程方法
DOI：
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发表时间：
2015
影响因子：
2.9
通讯作者：
L. Greengard
中科院分区：
文献类型：
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作者：
M. Rachh;L. Greengard
我们提出了新的积分表示在二维的弹性问题的静电和流动性问题的斯托克斯流。这些表示导致共振自由Fredholm积分方程的第二类和良好的条件线性系统离散化。通过耦合我们的积分方程与高阶求积和快速多极加速，大规模的问题，可以解决只有适度的计算资源。本文还讨论了这些边值问题在应用物理中的一些应用。
We present new integral representations in two dimensions for the elastance problem in electrostatics and the mobility problem in Stokes flow. These representations lead to resonance-free Fredholm integral equations of the second kind and well conditioned linear systems upon discretization. By coupling our integral equations with high order quadrature and fast multipole acceleration, large-scale problems can be solved with only modest computing resources. We also discuss some applications of these boundary value problems in applied physics.