Differential complexes and numerical stability

@inproceedings{Arnold2002DifferentialCA,
  title={Differential complexes and numerical stability},
  author={Douglas N. Arnold},
  year={2002}
}
Dierential complexes such as the de Rham complex have recently come to play an important role in the design and analysis of numerical methods for partial dierential equations. The design of stable discretizations of systems of partial dierential equations often hinges on capturing subtle aspects of the structure of the system in the discretization. In many cases the dieren- tial geometric structure captured by a dierential complex has proven to be a key element, and a discrete dierential… CONTINUE READING

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