Two boundary integral equation methods for linear elastodynamics problems on unbounded domains

DOI10.1016/j.camwa.2019.06.017zbMath1443.65182OpenAlexW2951220758WikidataQ127565785 ScholiaQ127565785MaRDI QIDQ2004444

Silvia Falletta, Giovanni Monegato, Letizia Scuderi

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.06.017

zbMATH Keywords

collocation methodelastic wave propagationspace-time boundary integral equationsdiscrete convolution quadrature

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (5)

Two FEM-BEM methods for the numerical solution of 2D transient elastodynamics problems in unbounded domains ⋮ Time domain boundary elements for elastodynamic contact ⋮ A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ An overview on a time discrete convolution -- space collocation BEM for 2D exterior wave propagation problems

Cites Work

• Unnamed Item
• Unnamed Item
• Convolution quadrature time-domain boundary element method for 2-D and 3-D elastodynamic analyses in general anisotropic elastic solids
• Convolution quadrature and discretized operational calculus. I
• Quadratic time domain BEM formulation for 2D elastodynamic transient analysis
• Numerical evaluation of hypersingular integrals
• Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements
• An exact non reflecting boundary condition for 2D time-dependent wave equation problems
• Numerical integration of functions with boundary singularities
• Transient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge-Kutta convolution quadrature
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• Wave Propagation Problems Treated with Convolution Quadrature and BEM
• A space-time BIE method for nonhomogeneous exterior wave equation problems. The Dirichlet case
• Convolution quadrature method-based symmetric Galerkin boundary element method for 3-d elastodynamics
• Time domain Boundary Element Method approaches in elastodynamics: A comparative study
• A comparative study on three boundary element method approaches to problems in elastodynamics
• High order methods for weakly singular integral equations with nonsmooth input functions
• Boundary and coupled boundary–finite element methods for transient wave–structure interaction
• A space-time BIE method for wave equation problems: the (two-dimensional) Neumann case

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