Talk:Mixed finite element method
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Expansion and improvement
[edit]I think that the perspective of Mixed finite elements as being primarily the introduction of 'additional' variables is not necessarily accurate. For example, people use mixed elements for the Stokes' equation and in this case pressure is a physical variable which shows up in the standard formulation. For this reason I think the section should be rewritten to suggest that a mixed finite element method is a problem in which multiple variables are saught in distinct function spaces. This perspective has no preference for models which are generally posed in a mixed form (i.e. Maxwell's equations or Stoke's Equations) vs. problems which are often posed in a single variable (i.e. Poisson Equation).
General points which should be added:
- Examples of mixed systems
- Examples of mixed finite element spaces (Nedelec, Raviart-Thomas, p2/p1 Elements for stokes')
- Well-posedness of mixed space problems, continuum and discrete cases.
- Discussion of exact sequences and the finite element exterior calculus