Dynamic analysis of unbounded domains by a reduced set of base functions

DOI10.1016/j.cma.2005.07.011zbMath1126.74051OpenAlexW2088885287MaRDI QIDQ2384282

Chongmin Song

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.07.011

zbMATH Keywords

frequency domainasymptotic expansionscaled boundary finite-element method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (9)

Explicit finite element artificial boundary scheme for transient scalar waves in two-dimensional unbounded waveguide ⋮ A scaled wave finite element method for computing scalar wave radiation and scattering in exterior domains ⋮ Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the scaled boundary finite element method ⋮ A physically and geometrically nonlinear scaled-boundary-based finite element formulation for fracture in elastomers ⋮ On the radial discretization in the frequency-domain SBFEM: recovering inner-subdomain solutions ⋮ Development of a fundamental‐solution‐less boundary element method for exterior wave problems ⋮ A general solution procedure for the scaled boundary finite element method via shooting technique ⋮ A shooting approach to the scaled boundary finite element equations of elastodynamics in the frequency domain ⋮ A new global nonreflecting boundary condition with diagonal coefficient matrices for analysis of unbounded media

Uses Software

• Algorithm 644

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A matrix function solution for the scaled boundary finite-element equation in statics
• Doubly asymptotic, boundary-element analysis of dynamic soil-structure interaction
• Approximation of radiation boundary conditions
• Absorbing boundary conditions for acoustic and elastic waves in stratified media
• A formulation of asymptotic and exact boundary conditions using local operators
• Dynamic point sources in laminated media via the thin-layer method
• A perfectly matched layer for the absorption of electromagnetic waves
• The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
• A nonreflecting plane boundary for wave propagation problems
• Wave propagation related to high-speed train. A scaled boundary FE-approach for unbounded domains
• The scaled boundary finite element method: Analytical solution in frequency domain
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Unified formulation of radiation conditions for the wave equation
• Algorithm 644
• A coupling procedure of FE and SBFE for soil–structure interaction in the time domain
• Exact Nonreflecting Boundary Condition For Elastic Waves
• Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model
• Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains

This page was built for publication: Dynamic analysis of unbounded domains by a reduced set of base functions