Space-time mesh refinement for elastodynamics. Numerical results

DOI10.1016/j.cma.2004.02.023zbMath1095.74030OpenAlexW2129258809MaRDI QIDQ1777117

Eliane Bécache, Jerónimo Rodríguez, Patrick Joly

Publication date: 12 May 2005

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.2004.02.023

zbMATH Keywords

stabilitydiscrete energy conservation

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)

Related Items

Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell's equations, Construction and convergence analysis of conservative second order local time discretisation for linear wave equations, Fourth-order energy-preserving locally implicit time discretization for linear wave equations, Multi-level explicit local time-stepping methods for second-order wave equations, Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation, Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains, Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems, Adaptive spacetime method using Riemann jump conditions for coupled atomistic-continuum dynamics, Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling, Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations, Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems

Cites Work

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• The Mortar Finite Element Method for 3D Maxwell Equations: First Results
• A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
• Mixed Spectral Finite Elements for the Linear Elasticity System in Unbounded Domains