On the stability of direct time-domain boundary element methods for elastodynamics

DOI10.1016/j.enganabound.2018.08.001zbMath1403.74145OpenAlexW2890112000MaRDI QIDQ1799854

Xiaoyong Bai, Ronald Y. S. Pak

Publication date: 19 October 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.08.001

zbMATH Keywords

stabilityGreen's functiontime domainspectral radiustime integrationamplification matrixboundary elementtransientlinear multi-step

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Stability of dynamical problems in solid mechanics (74H55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (4)

Causality condition relevant functions-orientated analytical treatment on singularities in 3D TD-BEM ⋮ New three-dimensional time-stepping transient fundamental solutions with applications ⋮ A high-order numerical manifold method with continuous stress/strain field ⋮ Stability of boundary element methods for the two dimensional wave equation in time domain revisited

Uses Software

• SLEPc

Cites Work

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• SLEPc
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