How to calculate the average within a mesh element

Hello,

I am wondering about how to take the average value of all the nodes on the edges and corners of a 2-D quadratic element. I used PED tool box to build a model. Each one of the nodes has three categories of values as a_i, b_i, c_i. And I would like to get the average of the 6 nodes in one element for a, b, and c. Are there any ways to do it? And also. how can I output the area for each one of the element or use it for caluculations with a, b, and c?

Thank you very much!

Best regards,

Shengyue Shan

Answer 1

[KSSV]

N = 10 ;
x = rand(N,1) ; y = rand(N,1) ;
dt = delaunayTriangulation(x(:),y(:)) ; 
tri = dt.ConnectivityList ;
p = dt.Points ;
% some physical property/ get mean 
V = rand(N,1) ;
V = V(tri) ;
Vm = mean(V,2) ;

Read more here: https://in.mathworks.com/help/matlab/ref/delaunaytriangulation.html

[Shengyue Shan]

Hello KSSV,

Thank you very much for your answer! But is the delaunayTriangulation used to generate a triangle based on the the node coordinates? For my case, it is that I have already generated the triangular mesh elements, and and need to do the calculation with the nodes on the triangle. Do you have any idea of how to do this?

Thanks!

[KSSV]

YOu will be having a nodal connectivity matrix i.e tri and the coordinates i.e p in your hand already. YOu need to get these and solve what you want.