Jump to content

Talk:Mixed finite element method

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Daomcg (talk | contribs) at 03:11, 2 July 2016. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
WikiProject iconMathematics Stub‑class Low‑priority
WikiProject iconThis article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
StubThis article has been rated as Stub-class on Wikipedia's content assessment scale.
LowThis article has been rated as Low-priority on the project's priority scale.


Expansion and improvement

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:

  1. Examples of mixed systems
  2. Examples of mixed finite element spaces (Nedelec, Raviart-Thomas, p2/p1 Elements for stokes')
  3. Well-posedness of mixed space problems, continuum and discrete cases.
  4. Discussion of exact sequences and the finite element exterior calculus

Daomcg (talk) 03:11, 2 July 2016 (UTC)[reply]