Two FEM-BEM methods for the numerical solution of 2D transient elastodynamics problems in unbounded domains

DOI10.1016/j.camwa.2022.03.040OpenAlexW4225758516MaRDI QIDQ2671780

Silvia Falletta, Letizia Scuderi, Giovanni Monegato

Publication date: 3 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.03.040

zbMATH Keywords

collocation methodfinite element methodboundary element methodconvolution quadratureelastic wave propagation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods applied to problems in solid mechanics (74S15) Wave equation (35L05) Numerical methods for wavelets (65T60) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (3)

An iterative decomposition coupling algorithm between TD-FEM and TD-BEM with independent spatial discretization on the interface ⋮ A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials ⋮ 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
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• Two boundary integral equation methods for linear elastodynamics problems on unbounded domains
• Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation
• 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
• 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
• Efficient Solution of Two-Dimensional Wave Propagation Problems by CQ-Wavelet BEM: Algorithm and Applications
• A space-time BIE method for wave equation problems: the (two-dimensional) Neumann case

This page was built for publication: Two FEM-BEM methods for the numerical solution of 2D transient elastodynamics problems in unbounded domains