A note on true desingularisation of boundary integral methods for three-dimensional potential problems

DOI10.1016/j.enganabound.2008.12.002zbMath1244.76049OpenAlexW2088668269MaRDI QIDQ443515

Evert Klaseboer, Carlos Rosales Fernandez, Boo Cheong Khoo

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.12.002

zbMATH Keywords

potential problem\(4\pi\) rulediagonal terms of the influence matricesnon-singular three-dimensional boundary integral method

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (16)

Non-singular boundary integral methods for fluid mechanics applications ⋮ Multi-patch nonsingular isogeometric boundary element analysis in 3D ⋮ Some dynamical characteristics of a non-spherical bubble in proximity to a free surface ⋮ Isoparametric singularity extraction technique for 3D potential problems in BEM ⋮ Non-conformal field-only boundary integral method for modeling EM scattering problems ⋮ Low-fidelity 2D isogeometric aeroelastic analysis and optimization method with application to a morphing airfoil ⋮ A robust and non-singular formulation of the boundary integral method for the potential problem ⋮ A boundary element method for the simulation of non-spherical bubbles and their interactions near a free surface ⋮ Modeling of the dynamics of a gas bubble in liquid near a curved wall ⋮ Helmholtz decomposition and boundary element method applied to dynamic linear elastic problems ⋮ A multi-patch nonsingular isogeometric boundary element method using trimmed elements ⋮ Clifford algebra valued boundary integral equations for three-dimensional elasticity ⋮ Nonsingular isogeometric boundary element method for Stokes flows in 3D ⋮ Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals ⋮ An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems ⋮ Eliminating the fictitious frequency problem in BEM solutions of the external Helmholtz equation

Cites Work

• Unnamed Item
• The evolution of a gas bubble near an inclined wall
• Numerical integration of functions with boundary singularities
• Singular integrals and boundary elements
• New identities for fundamental solutions and their applications to non-singular boundary element formulations
• Three-dimensional desingularized boundary integral methods for potential problems
• Some notes on singular integral techniques in boundary element analysis
• Simulation of three-dimensional bubbles using desingularized boundary integral method
• Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure

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