Projection plane method for evaluation of arbitrary high order singular boundary integrals

DOI10.1016/j.enganabound.2014.08.016zbMath1403.65197OpenAlexW1982911842MaRDI QIDQ1653608

Wei-Zhe Feng, Miao Cui, Xiao-Wei Gao, Kai Yang

Publication date: 6 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.016

zbMATH Keywords

boundary element methodpower series expansionprojection planeradial integration method (Rim)super singular integral

Mathematics Subject Classification ID

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

Related Items (23)

Analysis of the temperature field in anisotropic coating-structures by the boundary element method ⋮ Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction ⋮ A traction-recovery method for evaluating boundary stresses on thermal elasticity problems of FGMs ⋮ An improved direct method for evaluating hypersingular stress boundary integral equations in BEM ⋮ The CPCT based CBIE and HBIE for potential problems in three dimensions ⋮ A serendipity triangular patch for evaluating weakly singular boundary integrals ⋮ Implementation of CPCT based BIEs for 3D elasticity and its application in fracture mechanics ⋮ Solid analysis of micron-sized thin structures with BEM for steady-state heat conduction ⋮ NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems ⋮ An interface integral equation method for solving general multi-medium mechanics problems ⋮ Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM ⋮ Almost Complete Analytical Integration in Galerkin Boundary Element Methods ⋮ Calculation of stress intensity factor along the 3D crack front by dual BIE with new crack front elements ⋮ Analyze the singularity of the heat flux with a singular boundary element ⋮ A new DBEM for solving crack problems in arbitrary dissimilar materials ⋮ An improved singular curved boundary integral evaluation method and its application in dual BEM analysis of two- and three-dimensional crack problems ⋮ Radial integration boundary element method for two-dimensional non-homogeneous convection-diffusion-reaction problems with variable source term ⋮ Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ High order projection plane method for evaluation of supersingular curved boundary integrals in BEM ⋮ Boundary element analysis of elastic fields in non-horizontally layered halfspace whose horizontal boundary subject to tractions ⋮ A new approach for computing hyper-singular interface stresses in IIBEM for solving multi-medium elasticity problems ⋮ On the role of singular and hypersingular BIEs for the BVPs containing a degenerate boundary ⋮ A binary-tree subdivision method for evaluation of singular integrals in 3D BEM

Uses Software

• BEMECH

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the numerical evaluation of the singular integrals of scattering theory
• An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
• Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals
• The use of simple solutions in the regularization of hypersingular boundary integral equations
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM.
• Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
• Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code
• Traction BIE solutions for flat cracks
• Direct evaluation of singular integrals in boundary element analysis of thick plates.
• An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
• Singular integrals and boundary elements
• BEM analysis of thin structures for thermoelastic problems
• A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems
• Kernel Properties and Representations of Boundary Integral Operators
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• A Hermite interpolation algorithm for hypersingular boundary integrals
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• A direct approach for boundary integral equations with high-order singularities

This page was built for publication: Projection plane method for evaluation of arbitrary high order singular boundary integrals