bio | website | |
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location | ||
age | ||
visits | member for | 5 years, 2 months |
seen | Nov 12 '12 at 21:32 | |
stats | profile views | 357 |
Dec 10 |
awarded | Nice Answer |
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? |