Corpus ID: 237513398

An energy-based discontinuous Galerkin method for dynamic Euler-Bernoulli beam equations

@article{Zhang2021AnED,
  title={An energy-based discontinuous Galerkin method for dynamic Euler-Bernoulli beam equations},
  author={Lu Zhang},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.07033}
}
  • Lu Zhang
  • Published 15 September 2021
  • Computer Science, Mathematics
  • ArXiv
In this paper, an energy-based discontinuous Galerkin method for dynamic Euler-Bernoulli beam equations is developed. The resulting method is energy-dissipating or energy-conserving depending on the simple, mesh-independent choice of numerical fluxes. By introducing a velocity field, the original problem is transformed into a first-order in time system. In our formulation, the discontinuous Galerkin approximations for the original displacement field and the auxiliary velocity field are not… Expand

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