A new implementation of BEM by an expanding element interpolation method

DOI10.1016/j.enganabound.2017.01.008zbMath1403.74005OpenAlexW2588237959MaRDI QIDQ1655317

Yunqiao Dong, Lei Han, Chuanming Ju, Weicheng Lin, Jianming Zhang

Publication date: 9 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.2017.01.008

zbMATH Keywords

interpolation methodboundary element method (BEM)expanding element

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (15)

A NURBS-enhanced improved interpolating boundary element-free method for 2D potential problems and accelerated by fast multipole method ⋮ A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation ⋮ A dual interpolation boundary face method with Hermite-type approximation for elasticity problems ⋮ NURBS-enhanced line integration boundary element method for 2D elasticity problems with body forces ⋮ A new implementation of DRM with dual interpolation boundary face method for Poisson equation ⋮ The boundary element method for elasticity problems with concentrated loads based on displacement singular elements ⋮ A dual interpolation precise integration boundary face method to solve two-dimensional transient heat conduction problems ⋮ A dual interpolation boundary face method for elasticity problems ⋮ An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method ⋮ On the evaluation of Poisson equation with dual interpolation boundary face method ⋮ A dual interpolation boundary face method for exterior acoustic problems based on the Burton-Miller formulation ⋮ A solution approach for contact problems based on the dual interpolation boundary face method ⋮ A singular element based on dual interpolation BFM for V-shaped notches ⋮ A binary-tree subdivision method for evaluation of singular integrals in 3D BEM ⋮ A dual interpolation Galerkin boundary face method for potential problems

Uses Software

• neBEM

Cites Work

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• A study of three-dimensional edge and corner problems using the nebem solver
• A general algorithm for the numerical evaluation of domain integrals in 3D boundary element method for transient heat conduction
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• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• Heritage and early history of the boundary element method
• An unsteady 3D isogeometrical boundary element analysis applied to nonlinear gravity waves
• A direct traction boundary integral equation method for three-dimension crack problems in infinite and finite domains
• A dual reciprocity boundary face method for 3D non-homogeneous elasticity problems
• A boundary face method for potential problems in three dimensions
• Conforming versus non-conforming boundary elements in three-dimensional elastostatics
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification

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