On the stability and convergence of fully discrete solutions in linear elastodynamics

DOI10.1016/S0045-7825(02)00320-1zbMath1039.74050OpenAlexW2086566310MaRDI QIDQ1858451

Ignacio Romero

Publication date: 13 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00320-1

zbMATH Keywords

finite elementsfinite differencesenergy normmodal analysisenergy stabilityspectral criterionspace-time discretization

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items

Analysis of error estimators for the semidiscrete equations of linear solid and structural dynamics, A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance, Accuracy of one-step integration schemes for damped/forced linear structural dynamics, Multi-field spacetime discontinuous Galerkin methods for linearized elastodynamics, Stability analysis of linear multistep methods for classical elastodynamics

Uses Software

• RODAS

Cites Work

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