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bio website tudelft.nl
location Delft, Netherlands
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1d
revised Solving the 2D Poisson equation with variable boundary location
added 35 characters in body
1d
revised Solving the 2D Poisson equation with variable boundary location
added some work
2d
comment Transforming the Laplace operator from Polar to Cartesian coordinates
@BeniBogosel Isn't the mixed derivative supposed to have a factor 2?
2d
comment Solving the 2D Poisson equation with variable boundary location
@Dmoreno ok, I think I get it now. Thanks! I actually know roughly what the solution to this problem should look like (because of the physical shape it represents) and I know that there isn't a singularity at $r=0$, but I will work with the mathematically correct formulation you propose!
2d
comment Solving the 2D Poisson equation with variable boundary location
@Dmoreno I will certainly try the other choice of coordinates, indeed that would turn the boundary condition simply into $r=r_0=1$. I'm not sure I completely understand your second point, I can see that $r=0$ is indeed a singular point in the differential equation, but would the boundary condition be something like $\lim_{r\to0}$ $z_r\to0$ (sorry about the notation, don't quite know how to write that) ?
2d
revised Solving the 2D Poisson equation with variable boundary location
better info in title
2d
asked Solving the 2D Poisson equation with variable boundary location
Aug
14
comment Are there any surfaces that contain both positive and negative Gaussian curvature?
Could you clarify what you mean with k1 and k2?! --- And just to clarify my own wording: with inside I mean at the side of the torus inside the hole, I do not mean actually inside the 'tube' of the torus
Aug
7
comment What is this semicircle-like shape called?
@Lucian Smiley?!
Aug
6
comment What is this semicircle-like shape called?
@Semiclassical cutting the major axis of the stadium would result in what is often called an extended or elongated semicircle, so perhaps semi-stadium is not that bad?!
Aug
6
asked What is this semicircle-like shape called?
Aug
2
comment Determine the target weight so that no more than 5% of boxes with normal weight distribution contain less than 500 g
@loading.... & Shahar - Wolfram can't do the definite integral, because of some $0/0$ arguments, but you can find the indefinite integral as you can see here and fill in the boundaries in an intelligent way yourself
Aug
2
accepted Area of the polygon formed by cutting a cube with a plane
Aug
2
comment Area of the polygon formed by cutting a cube with a plane
Great, thank you!
Aug
2
comment Area of the polygon formed by cutting a cube with a plane
Terrific explanation! Quick question: is there an easy way to deal with the case for which $m_i=0$ occurs? Or should I just compute the limit using l'hopital's rule?
Aug
2
comment Area of the polygon formed by cutting a cube with a plane
@CalvinLin I will certainly try that, thanks! I do wonder whether that easily generalizes to polygons with a different number of vertices (due to a different cut of the box)
Aug
2
comment Area of the polygon formed by cutting a cube with a plane
@StephenNand-Lal Good point, completely forgot the word for it. Yes I do, edited it.
Aug
2
asked Area of the polygon formed by cutting a cube with a plane
Jul
26
awarded  Altruist
Jul
20
awarded  Investor