Finite element exterior calculus

Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods in the calculus of differential forms. Its main application has been a comprehensive theory for finite element methods in computational electromagnetism. FEEC has been developed in the early 2000s by Douglas N. Arnold, Richard S. Falk and Ragnar Winther, [1] [2] among others.

Finite element exterior calculus is sometimes called as an example of a compatible discretization technique, and bears similarities with discrete exterior calculus, although they are distinct theories.

References

  1. ↑ Arnold, Douglas N., Richard S. Falk, and Ragnar Winther. "Finite element exterior calculus, homological techniques, and applications." Acta numerica 15 (2006): 1-155.
  2. ↑ Arnold, Douglas, Richard Falk, and Ragnar Winther. "Finite element exterior calculus: from Hodge theory to numerical stability." Bulletin of the American mathematical society 47.2 (2010): 281-354.


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