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visits member for 4 years, 6 months
seen Nov 12 '12 at 21:32

Jun
25
awarded  Yearling
Apr
26
answered Construction of finite element differential forms based on deRham sequences
Jan
18
answered reduced symplectic form
Oct
19
awarded  Yearling
Jul
29
answered Example of symplectic and hamiltonian diffeomorphism on $S^2$ and $T^2$
Apr
7
answered integration of a laplacian
Apr
7
comment Weakest condition for an integrable, almost-symplectic manifold?
Do you mean Liouville's theorem (the Hamiltonian vector field preserves the symplectic form) or Liouville integrability (maximal set of first integrals in involution)?
Apr
6
comment FEM on a Laplacian
$H^{-1}$ is the dual space of $H^1$. This is actually even weaker than being in $ L^2 $ (a.k.a. $H^0$), since it's only a continuous functional when applied to weakly differentiable test functions. For example, consider the 1-D Dirac $\delta$-function, $ \delta = \mathrm{H} ' $, where $\mathrm{H}$ is the Heaviside step function. This is obviously not in $L^2$; however, it is in $H^{-1}$, since $ (\delta, v) = (\mathrm{H}', v) = -(\mathrm{H}, v') \leq \lVert \mathrm{H} \rvert _{L^2} \lVert v \rVert _{H^1} $. This means that you can even make sense of the PDE $ u'' = \delta $.
Apr
6
answered FEM on a Laplacian
Dec
23
revised $\ell^p$ version of singular values
caught a mistake
Dec
22
revised $\ell^p$ version of singular values
added 179 characters in body
Dec
22
revised Question about Banach's matchbox problem.
added code; edited body
Dec
22
answered $\ell^p$ version of singular values
Dec
22
answered Question about Banach's matchbox problem.
Oct
19
awarded  Yearling
Jun
18
answered Proving Hodge decomposition without using the theory of elliptic operators?
May
28
awarded  Enlightened
May
28
awarded  Nice Answer
May
26
answered What are “variational crimes” and who coined the term?
Nov
19
comment Splitting book into chapters
I agree that \include and \includeonly are the best way to go. This creates a separate .aux file for each included chapter -- so it maintains cross-references, page numbering, etc. -- but only outputs the chapter(s) selected with \includeonly. I used this recently when I had to output my list of references as a separate PDF file, and it worked like a charm.