A binary-tree element subdivision method for evaluation of singular domain integrals with continuous or discontinuous kernel

DOI10.1016/j.enganabound.2020.03.023zbMath1464.65255OpenAlexW3015557352MaRDI QIDQ785061

D. Kharzeev

Publication date: 5 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.03.023

zbMATH Keywords

Gaussian quadratureBEMdiscontinuous kernelcontinuous kernelHammer-Stroud quadraturesingular domain integral

Mathematics Subject Classification ID

Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

An adaptive element subdivision method based on the affine transformations and partitioning techniques for evaluating the weakly singular integrals

Uses Software

• KELLEY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient evaluation of weakly/strongly singular domain integrals in the BEM using a singular nodal integration method
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• A general algorithm for the numerical evaluation of domain integrals in 3D boundary element method for transient heat conduction
• An adaptive element subdivision method for evaluation of weakly singular integrals in 3D BEM
• Accurate numerical evaluation of domain integrals in 3D boundary element method for transient heat conduction problem
• Expanding element interpolation method for analysis of thin-walled structures
• Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems
• Analysis of cracked transversely isotropic and inhomogeneous solids by a special BIE formulation
• A binary-tree element subdivision method for evaluation of nearly singular domain integrals with continuous or discontinuous kernel
• Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
• A comparison of domain integral evaluation techniques for boundary element methods
• Numerical Integration Over Simplexes
• A local multigrid X-FEM strategy for 3-D crack propagation
• A boundary face method for potential problems in three dimensions
• Multidimensional binary search trees used for associative searching
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• Remeshing for metal forming simulations?Part II: Three-dimensional hexahedral mesh generation
• Performance and numerical behavior of the second‐order scheme of precise time‐step integration for transient dynamic analysis
• Integral equation methods in potential theory. I
• Numerical calculation of weakly singular surface integrals

This page was built for publication: A binary-tree element subdivision method for evaluation of singular domain integrals with continuous or discontinuous kernel