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Results tagged with na.numerical-analysis
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user 673
Numerical algorithms for problems in analysis and algebra, scientific computation
3
votes
Accepted
Construction of finite element differential forms based on deRham sequences
As robot suggested, a good place to start would be the work of Arnold, Falk, and Winther -- particularly their 2006 paper in Acta Numerica and 2010 paper in Bulletin of the AMS. (Both available at htt …
- 1,116
4
votes
integration of a laplacian
Denis has this exactly right, if your goal is really to calculate these integrals. However, if your real goal (as you say) is to calculate the residual, then this isn't what you want to do at all.
I …
- 1,116
1
vote
Accepted
FEM on a Laplacian
Step (3) is, essentially, a way of defining the weak version of the Laplacian. Given $ u \in H^1 $, the classical Laplacian $ \Delta u $ is generally not defined. However, for any test function $ v …
- 1,116
45
votes
Accepted
What are "variational crimes" and who coined the term?
Thanks for your interest in the paper! (It's also nice to see something on Math Overflow that I know something about.) Your summary of variational crimes is actually pretty close to the mark: it ref …
- 1,116