Highly accurate quadrature schemes for singular integrals in energetic BEM applied to elastodynamics

DOI10.1016/j.cam.2022.114186zbMath1503.65306OpenAlexW4212933716WikidataQ114201884 ScholiaQ114201884MaRDI QIDQ2122033

Alessandra Aimi, Giulia Di Credico, Mauro Diligenti, Chiara Guardasoni

Publication date: 5 April 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114186

zbMATH Keywords

numerical integrationelastodynamicsweakly singular kernelheaviside functionenergetic BEM

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Partially pivoted ACA based acceleration of the energetic BEM for time-domain acoustic and elastic waves exterior problems ⋮ A space-time energetic BIE method for 3D elastodynamics: the Dirichlet case ⋮ Almost Complete Analytical Integration in Galerkin Boundary Element Methods ⋮ Time domain boundary elements for elastodynamic contact ⋮ Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions

Uses Software

• FEAPpv

Cites Work

• On the h-, p- and h-p versions of the boundary element method. - Numerical results
• A boundary element procedure for transient wave propagations in two- dimensional isotropic elastic media
• On the numerical stability of time-domain elastodynamic analyses by BEM
• Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
• The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Numerical integration of functions with boundary singularities
• Application of energetic BEM to 2D elastodynamic soft scattering problems
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• An energy approach to space-time Galerkin BEM for wave propagation problems
• Multi-domain BEM for two-dimensional problems of elastodynamics
• Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide
• Dynamic stress concentration studies by boundary integrals and Laplace transform
• A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem
• Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
• A variational boundary integral equation method for an elastodynamic antiplane crack
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Highly accurate quadrature schemes for singular integrals in energetic BEM applied to elastodynamics