Analytical integrations for the approximation of 3D hyperbolic scalar boundary integral equations

DOI10.1016/j.enganabound.2010.06.010zbMath1244.65151OpenAlexW2066555055MaRDI QIDQ441703

A. Temponi, Alberto Salvadori

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.2010.06.010

zbMATH Keywords

computational complexityboundary integral equationsanalytical integrationsscalar wave problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Complex variables-based approach for analytical evaluation of boundary integral representations of three-dimensional acoustic scattering ⋮ Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM ⋮ Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches ⋮ Analytical integrations for the approximation of 3D hyperbolic scalar boundary integral equations ⋮ High order boundary and finite elements for 3D fracture propagation in brittle materials

Cites Work

• Analytical integrations for the approximation of 3D hyperbolic scalar boundary integral equations
• Analytical integrations in 3D BEM: Preliminaries
• A 2.5-D dynamic model for a saturated porous medium. II: Boundary element method
• An efficient stabilized boundary element formulation for 2D time-domain acoustics and elasto\-dynamics
• A variational approach to boundary element elastodynamic analysis and extension to multidomain problems
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• Saddle-point principles and numerical integration methods for second-order hyperbolic equations
• Analysis of ground motion due to moving surface loads induced by high-speed trains
• Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers
• The fast solution of boundary integral equations.
• Some theorems in classical elastodynamics
• Analytical integrations in 3D BEM for elliptic problems: Evaluation and implementation
• Variational time integrators
• Initial conditions contribution in a BEM formulation based on the convolution quadrature method
• Analytical integrations and SIFs computation in 2D fracture mechanics
• Hypersingular boundary integral equations and the approximation of the stress tensor
• A new space-time energetic formulation for wave propagation analysis in layered media by BEMs
• Numerical implementation of the symmetric Galerkin boundary element method in 2D elastodynamics
• A Galerkin boundary element formulation with dual reciprocity for elastodynamics
• Dual boundary element method for anisotropic dynamic fracture mechanics
• A time-dependent formulation of dual boundary element method for 3D dynamic crack problems
• Implementation of a symmetric boundary element method in transient heat conduction with semi-analytical integrations
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
• Analytical integrations of hypersingular kernel in 3D BEM problems
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