A novel boundary element approach for solving the anisotropic potential problems

DOI10.1016/j.enganabound.2011.05.007zbMath1259.80024OpenAlexW1991280488WikidataQ58011628 ScholiaQ58011628MaRDI QIDQ1944591

Yanyan Li

Publication date: 25 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.05.007

zbMATH Keywords

potential problemsanisotropicBEMIBIEnonsingular IBIE

Mathematics Subject Classification ID

Related Items (13)

A new extension of boundary elements method for classical elliptic partial differential equations with constant coefficients ⋮ Average source boundary node method for potential problems ⋮ A new global and direct integral formulation for 2D potential problems ⋮ NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources ⋮ A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis ⋮ Transient free-surface seepage in three-dimensional general anisotropic media by BEM ⋮ Seepage analysis in multi-domain general anisotropic media by three-dimensional boundary elements ⋮ Simulation of singularity in the potential problem with semi-analytical elements ⋮ Modeling anisotropic diffusion using a departure from isotropy approach ⋮ Scaled boundary finite-element method for solving non-homogeneous anisotropic heat conduction problems ⋮ Calculation of domain integrals of two dimensional boundary element method ⋮ A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis ⋮ Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method

Cites Work

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• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals
• Numerical evaluation of two-dimensional singular boundary integrals -- theory and Fortran code
• A note on the Gauss-Jacobi quadrature formulae for singular integral equations of the second kind
• The numerical evaluation of principal value integrals by finite-part integration
• Hypersingular and finite part integrals in the boundary element method
• Boundary element analysis and design in seepage problems using dual integral formulation
• Complex variable boundary element method for torsion of anisotropic bars
• Null-field integral equations for stress field around circular holes under antiplane shear
• Weakly singular integral equations for Darcy's flow in anisotropic porous media
• An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
• Analytical evaluation and application of the singularities in boundary element method
• Self‐regular boundary integral equation formulations for Laplace's equation in 2‐D
• Null-Field Integral Equation Approach for Plate Problems With Circular Boundaries
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Direct computation of Cauchy principal value integrals in advanced boundary elements
• Boundary elements applied to seepage problems in zoned anisotropic soils
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
• A bi‐cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
• Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
• A comparison of boundary element method formulations for steady state anisotropic heat conduction problems

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