Complete analytic integrations for the 2D BEM representation of the Laplace equation with linear shape functions

DOI10.1016/j.enganabound.2021.07.017OpenAlexW3194591449MaRDI QIDQ1980252

Luca Di Rienzo, Pasquale Cambareri

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.2021.07.017

zbMATH Keywords

boundary element methodanalytical integrationslinear elements

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Uses Software

• Octave
• COMSOL
• quadgk
• quadva

Cites Work

• Exact integration in the boundary element method for two-dimensional elastostatic problems
• Analytic solution for fluxes at interior points for the 2D Laplace equation.
• Exact boundary element integrations for two-dimensional Laplace equation
• Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space
• Vectorized adaptive quadrature in MATLAB
• Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants
• Error estimation and adaptive mesh refinement in boundary element method, an overview