Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation

@inproceedings{Bernkopf2017AnalysisOT,
  title={Analysis of the \$hp\$-version of a first order system least squares method for the Helmholtz equation},
  author={Maximilian Bernkopf and Jens Markus Melenk},
  year={2017}
}
  • Maximilian Bernkopf, Jens Markus Melenk
  • Published 2017
  • Mathematics
  • Extending the wavenumber-explicit analysis of Chen and Qiu (J Comput Appl Math, 309:145–162, 2017), we analyze the L2-convergence of a least squares method for the Helmholtz equation with wavenumber k. For domains with an analytic boundary, we obtain improved rates in the mesh size h and the polynomial degree p under the scale resolution condition that hk∕p is sufficiently small and \(p/\log k\) is sufficiently large. 

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