Transient dynamic boundary element analysis using Gaussian-based mass matrix

DOI10.1016/S0955-7997(01)00095-9zbMath1022.74050OpenAlexW2003908013WikidataQ127246860 ScholiaQ127246860MaRDI QIDQ1614494

Youssef F. Rashed

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0955-7997(01)00095-9

zbMATH Keywords

mass matrixdual reciprocity boundary element methodGaussian approximantstransient dynamic elasticity

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (10)

Dynamic analysis of plane elasticity with new complex Fourier radial basis functions in the dual reciprocity boundary element method ⋮ The uselessness of the fast Gauss transform for summing Gaussian radial basis function series ⋮ Complex <scp>Fourier‐based</scp> stress intensity factor analysis of plane elasticity using boundary element theories ⋮ The solution of elastodynamic problems using modified radial integration boundary element method (MRIBEM) ⋮ A dual reciprocity BEM approach using new Fourier radial basis functions applied to 2D elastodynamic transient analysis ⋮ Free vibration multiquadric boundary elements applied to plane elasticity ⋮ First kind Bessel function (J-Bessel) as radial basis function for plane dynamic analysis using dual reciprocity boundary element method ⋮ Complex Fourier element shape functions for analysis of 2D static and transient dynamic problems using dual reciprocity boundary element method ⋮ Compactly supported radial basis functions for the acoustic 3D eigenanalysis using the particular integral method ⋮ The dual reciprocity method applied to free vibrations of 2D structures using compact supported radial basis functions

Cites Work

• Transforming the domain integrals to the boundary using approximate particular solutions: A boundary element approach for nonlinear problems
• Properties of Gaussian radial basis functions in the dual reciprocity boundary element method
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• A Galerkin boundary element formulation with dual reciprocity for elastodynamics
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