Iterative solutions for implicit time discontinuous Galerkin methods applied to nonlinear elastodynamics

DOI10.1007/s00466-003-0426-3zbMath1038.74557OpenAlexW2011625226MaRDI QIDQ1420034

A. Bonelli, O. S. Bursi

Publication date: 28 January 2004

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-003-0426-3

zbMATH Keywords

Iterative methodsNonlinear dynamicsTime Discontinuous Galerkin methodsLow-computational expense

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Discontinuous Galerkin method based on peridynamic theory for linear elasticity ⋮ A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics ⋮ An efficient time-discontinuous Galerkin procedure for nonlinear structural dynamics ⋮ Energy–momentum consistent finite element discretization of dynamic finite viscoelasticity ⋮ Use of post-processing to increase the order of accuracy of the trapezoidal rule at time integration of linear elastodynamics problems ⋮ Space–time discontinuous Galerkin method for dynamics of solids ⋮ Time discontinuous Galerkin methods with energy decaying correction for non-linear elastodynamics ⋮ A computational strategy for poroelastic problems with a time interface between coupled physics ⋮ A new high-order accurate continuous Galerkin method for linear elastodynamics problems ⋮ Solution of linear elastodynamics problems with space-time finite elements on structured and unstructured meshes

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