Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions

DOI10.1007/s00466-008-0353-4zbMath1162.74483OpenAlexW2020427012MaRDI QIDQ1021170

R. J. Vanzuit, José Antonio Marques Carrer, Webe Joao Mansur

Publication date: 8 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0353-4

zbMATH Keywords

boundary element methodinitial conditionsscalar wave equationD-BEM

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Membranes (74K15) Linear waves in solid mechanics (74J05)

Related Items (11)

Scalar wave equation by the boundary element method: A D-BEM approach with constant time-weighting functions ⋮ Singular boundary method using time-dependent fundamental solution for scalar wave equations ⋮ Transient dynamic analysis of functionally graded micro-beams considering small-scale effects ⋮ Dynamic analysis of continuous beams by the boundary element method ⋮ Numerical solution of scalar wave equation by the modified radial integration boundary element method ⋮ Forced vibrations of functionally graded annular and circular plates by domain‐boundary element method ⋮ A time-stepping scheme based on numerical Green's functions for the domain boundary element method: the ExGA-DBEM Newmark approach ⋮ Modeling transient elastodynamic problems using a novel semi-analytical method yielding decoupled partial differential equations ⋮ Dynamic analysis of Timoshenko beams by the boundary element method ⋮ The boundary element method applied to the solution of the diffusion-wave problem ⋮ A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations

Cites Work

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• Initial conditions contribution in a BEM formulation based on the convolution quadrature method
• Time-dependent fundamental solution generated by a not impulsive source in the boundary element method analysis of the 2D scalar wave equation
• Compression of time‐generated matrices in two‐dimensional time‐domain elastodynamic BEM analysis

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