• Corpus ID: 232146964

Numerical results for an unconditionally stable space-time finite element method for the wave equation

@article{Lscher2021NumericalRF,
  title={Numerical results for an unconditionally stable space-time finite element method for the wave equation},
  author={Richard L{\"o}scher and Olaf Steinbach and Marco Zank},
  journal={ArXiv},
  year={2021},
  volume={abs/2103.04324}
}
In this work, we introduce a new space-time variational formulation of the secondorder wave equation, where integration by parts is also applied with respect to the time variable, and a modified Hilbert transformation is used. For this resulting variational setting, ansatz and test spaces are equal. Thus, conforming finite element discretizations lead to Galerkin–Bubnov schemes. We consider a conforming tensor-product approach with piecewise polynomial, continuous basis functions, which results… 

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