On 03/07/2018 12:19 PM, RAJAT ARORA wrote:

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I want to do the following thing: I have a scalar quantity available only at the Gauss points of a cell. (cell = 2d rectangular element) I want to get the derivative of this quantity at the center of the cell. One way to do this is to locally project the gauss point variable to the nodes of the element using compute_projection_from_quadrature_points_matrix and then take the derivative.What I want to do is the following: Think of the 4 gauss points as a newrectangular element.Then, these 4 vertices become the node and this makes the value of thevariable known at the nodes of this element.Now, I want to take the derivative of the variable wrt to this new cell(vertices of new cell = gauss points of parent cell).Can someone please help me figure out how can I take the derivative wrt tothis new cell?Some thought: Mapping eulerian may not work here as that mapping applies tothe nodes and is continuous. Here, the same node gets mapped to differentvertices (gauss point of the cell of which the node is a part of), so a singlemapping may not work. Either I use different Euler vector for the differentelement but will that be expensive?

`I think this is too complicated. That's because everything in deal.II always`

`assumed that you have a mesh, so if you did what you suggest, you'd have to`

`actually build a triangulation and everything that lives on it. That does not`

`seem efficient.`

`What is wrong with the approach using`

`compute_projection_from_quadrature_points_matrix()?`

Best W. -- ------------------------------------------------------------------------ Wolfgang Bangerth email: bange...@colostate.edu www: http://www.math.colostate.edu/~bangerth/ -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en

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