Integral evaluation for a closed-form 2-D potential formulation of the Galerkin BEM

DOI10.1016/j.enganabound.2021.03.007OpenAlexW3191971281MaRDI QIDQ1980192

Steven D. Pekarek, Aaron D. Brovont

Publication date: 3 September 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.03.007

zbMATH Keywords

boundary element methodanalytical integrationGalerkintwo-dimensional Laplace equationregular integralsadjacent singular integrals

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Uses Software

• BEAN
• quadgk
• quadva

Cites Work

• Unnamed Item
• Unnamed Item
• Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM.
• Exact boundary element integrations for two-dimensional Laplace equation
• Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method
• Vectorized adaptive quadrature in MATLAB
• The use of complex integral representations for analytical evaluation of three-dimensional BEM integrals--potential and elasticity problems
• Symmetric Galerkin Boundary Element Method
• Explicit expressions for 3D boundary integrals in potential theory
• Analytical integrations in 2D BEM elasticity

This page was built for publication: Integral evaluation for a closed-form 2-D potential formulation of the Galerkin BEM