A sinh transformation for evaluating nearly singular boundary element integrals
By Peter R. Johnston, David Elliott. 2005
137 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/ffb4669f869e08573168254160181c5bbc5a4aa5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- Chuanzeng Zhang
- Wen Chen
- Yan Gu
- David Elliott
- Thomas J. R. Hughes
- Stéphane P.A. Bordas
- Jinyang Zhang
- Zhuojia Fu
In Electrical and Electronic Engineering
- Chuanzeng Zhang
- Wen Chen
- Yan Gu
- Thomas J. R. Hughes
- Stéphane P.A. Bordas
- Jinyang Zhang
- Zhuojia Fu
- John A. Evans
In Mechanics of Materials
- Wen Chen
- Yan Gu
- Chuanzeng Zhang
- Stéphane P.A. Bordas
- Thomas J. R. Hughes
- Zhuojia Fu
- Jinyang Zhang
- Timon Rabczuk
Citations in the corpus
- The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements (2013, methodology): “For evaluating an integral of these types, Johnston and Elliott [14] suggested a change of integration variable using a sinh function with the form of x1⁄4 aþb sinht.”
- Singular boundary method for modified Helmholtz equations (2014, background): “In boundary element community, several approaches [31,33] have been proposed to overcome this issue.”
- Isogeometric boundary element analysis using unstructured T-splines (2013, methodology): “Transformation techniques which reduce the singularity of the integral thus allowing conventional Gauss-Legendre quadrature to be used are also common [99, 100, 101].”
- A sinh transformation for evaluating two‐dimensional nearly singular boundary element integrals (2007, background): “In their recent paper [20], Johnston and Elliott introduced a new transformation, based on the sinh function, for evaluating one-dimensional near singular integrals.”