Optimal transformations of the integration variables in computation of singular integrals in BEM

By Vladimír Sládek, Ján Sládek, M. Tanaka. 2000

75 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/0cd4260f5d402d256d003ac66feda7d66d177f9c

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

1. Wen Chen
2. Jinyang Zhang
3. Zhuojia Fu

In Electrical and Electronic Engineering

1. Wen Chen
2. Jinyang Zhang
3. Zhuojia Fu

In Mechanics of Materials

1. Jinyang Zhang
2. Zhuojia Fu
3. Wen Chen
4. Yan Gu

Citations in the corpus

• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM (2007, methodology): “[11] made some optimal transformations of the integration variable to deal with nearly singular integrals in 2D BEM, which significantly improved the accuracy of numerical computation of nearly singular integrals.”
• Singular boundary method for modified Helmholtz equations (2014, background): “In boundary element community, several approaches [31,33] have been proposed to overcome this issue.”