• Corpus ID: 203626742

A unified error analysis of HDG methods for the static Maxwell equations

@article{Du2019AUE,
  title={A unified error analysis of HDG methods for the static Maxwell equations},
  author={Shukai Du and Francisco-Javier Sayas},
  journal={ArXiv},
  year={2019},
  volume={abs/1910.01000}
}
We propose a framework that allows us to analyze different variants of HDG methods for the static Maxwell equations using one simple analysis. It reduces all the work to the construction of projections that best fit the structures of the approximation spaces. As applications, we analyze four variants of HDG methods (denoted by B, H, B+, H+), where two of them are known (variants H, B+) and the other two are new (variants H+, B). Under certain regularity assumption, we show that all the four… 

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