Questions tagged [local-coordinates]

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1-D local interpolation of sampled function that is polynomial in 1/x

I have a number of evenly-spaced samples of functions that are polynomial in $1/x$ where $x$ is a continuous variable on $x\in\left[a,b\right]$, i.e. $$f(x_i)=\sum_{n=0}^{N} f_n x_i^{-n}.$$ I want to ...
4
votes
1answer
2k views

Unwrap cylinder to plane in Paraview

I want to extract the data from the boundary surface of a cylinder (in a .vtu file) and plot it onto a plane, where the coordinates are theta (rotation angle) and Z(...
4
votes
1answer
172 views

How to express the derivatives with respect to the initial coordinates {x,y,z} when 3D coordinate system is mapped into 2D manifold {e,n}?

This is often required in the stiffness matrix evaluation. Thanks to this thread I found out how to perform integrals over 2D surface. I've tried to evaluate the integral of the single shape function ...
5
votes
2answers
290 views

changing from global to local coordinate structure

I am going to put this question on math exchange and stack exchange as well (since it doesn't really fit in any of the specific fields, I don't know which it should go in), but here is the question: ...