A meshless hybrid boundary-node method for Helmholtz problems

DOI10.1016/j.enganabound.2008.05.009zbMath1244.65229OpenAlexW2148610828MaRDI QIDQ443379

J. Herrera, H. S. Yoon

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.2008.05.009

zbMATH Keywords

Helmholtz equationmeshless methodmoving least squares approximationdual reciprocity-hybrid boundary node method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (15)

Single layer regularized meshless method for three dimensional exterior acoustic problem ⋮ A fast multipole hybrid boundary node method for composite materials ⋮ Dispersion and pollution of the improved meshless weighted least-square (IMWLS) solution for the Helmholtz equation ⋮ A meshless Galerkin least-square method for the Helmholtz equation ⋮ Dual reciprocity hybrid boundary node method for acoustic eigenvalue problems ⋮ Multiple reciprocity hybrid boundary node method for potential problems ⋮ Boundary node method based on parametric space for 2D elasticity ⋮ A Kriging interpolation-based boundary face method for 3D potential problems ⋮ Regularized moving least-square method and regularized improved interpolating moving least-square method with nonsingular moment matrices ⋮ Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method ⋮ A rigid-inclusion model for fiber-reinforced composites by fast multipole hybrid boundary node method ⋮ Application of the meshless Galerkin boundary node method to potential problems with mixed boundary conditions ⋮ Stress analysis of solids with open-ended tubular holes by BFM ⋮ A posteriori error estimates and adaptive procedures for the meshless Galerkin boundary node method for 3D potential problems ⋮ The radial basis integral equation method for solving the Helmholtz equation

Cites Work

• The dual reciprocity boundary element formulation for nonlinear diffusion problems
• On boundary conditions in the element-free Galerkin method
• The meshless regular hybrid boundary node method for 2D linear elasticity.
• Development of hybrid boundary node method in two-dimensional elasticity
• The regular hybrid boundary node method for three-dimensional linear elasticity
• Surfaces Generated by Moving Least Squares Methods
• Meshless analysis of potential problems in three dimensions with the hybrid boundary node method
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