Continuous and discontinuous Galerkin methods with finite elements in space and time for parallel computing of viscoelastic deformation

DOI10.1016/S0045-7825(99)00463-6zbMath1010.74065OpenAlexW1965325697MaRDI QIDQ1595378

Rainer Niekamp, Erwin Stein, Alexander V. Idesman

Publication date: 11 February 2001

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(99)00463-6

zbMATH Keywords

evolution equationinternal variablescontinuous Galerkin methoddiscontinuous Galerkin methodparallel computingconvergence rateequilibrium equationadaptive refinementcontinuous trial functionsnon-symmetric variational discretized formulationsthree-parameter Malvern modelviscoelastic deformation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Parallel numerical computation (65Y05)

Related Items

Solution of strongly coupled multiphysics problems using space-time separated representations -- application to thermoviscoelasticity, Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation, Finite elements in space and time for the analysis of generalised visco-elastic materials, A simultaneous space‐time discretization approach to the inverse dynamics of geometrically exact strings, FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002), Discontinuous Galerkin time discretization in elastoplasticity: Motivation, numerical algorithms, and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Computational inelasticity
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
• Finite elements in space and time for parallel computing of viscoelastic deformation
• Parallel adaptive finite element computations with hierarchical preconditioning
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A finite element method adaptive in space and time for nonlinear reaction-diffusion systems
• Finite-element analysis of time-dependent phenomena.
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
• Thermomechanical analysis of viscoelastic solids