A new high-order accurate continuous Galerkin method for linear elastodynamics problems
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Publication:1015646
DOI10.1007/s00466-006-0096-zzbMath1178.74167OpenAlexW2024607842MaRDI QIDQ1015646
Publication date: 8 May 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-006-0096-z
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
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Cites Work
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- Space-time finite element methods for second-order hyperbolic equations
- Discontinuity-capturing operators for elastodynamics
- From the trapezoidal rule to higher-order accurate and unconditionally stable time-integration method for structural dynamics
- An efficient integration procedure for linear dynamics based on a time discontinuous Galerkin formulation
- Iterative solutions for implicit time discontinuous Galerkin methods applied to nonlinear elastodynamics
- An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- A unified set of single-step asymptotic annihilation algorithms for structural dynamics
- Implementation and adaptivity of a space-time finite element method for structural dynamics
- Adaptive space-time finite element methods for the wave equation on unbounded domains
- Formulation and analysis of variational methods for time integration of linear elastodynamics
- EXPLICIT PREDICTOR–MULTICORRECTOR TIME DISCONTINUOUS GALERKIN METHODS FOR LINEAR DYNAMICS
- A unified set of single step algorithms. Part 1: General formulation and applications
- Time finite element methods for structural dynamics
- STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
- A methodology for the generation of low-cost higher-order methods for linear dynamics
- Adaptive finite element procedures for linear and non-linear dynamics
- Construction of Higher-Order Accurate Time-Step Integration Algorithms by Equal-Order Polynomial Projection