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On adaptive refinement for boundary integral methods in electrostatics

机译:关于静电边界积分法的自适应细化

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摘要

Numerical techniques based upon boundary integral methods like charge simulation or Galerkin boundary elements are still warmly received in the HV community because they are relatively easy to implement and use, and because they are accurate. However, the results can be sensitive to the quality of the discretization. In this work we introduce an efficient refinement scheme that automatically chooses the sections of conducting and dielectric boundaries where new nodes should be placed. The numerical results compare favorably to canonical solutions, and the method is shown to be effective on more complicated practical geometries.
机译:基于边界积分方法(例如电荷模拟或Galerkin边界元素)的数值技术在HV社区中仍然受到热烈欢迎,因为它们相对容易实现和使用,并且它们是准确的。但是,结果可能对离散化的质量敏感。在这项工作中,我们引入了一种有效的细化方案,该方案可以自动选择应该放置新节点的导体边界和介电边界部分。数值结果与规范解相比具有优势,并且该方法在更复杂的实际几何形状上是有效的。

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