# Calc_Barycenters

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Computes the barycenters of mesh elements in a vectorized fashion. It works for all element size and types and dimensions.

Version : 1.0

Author : George Kourakos

email: giorgk@gmail.com

web : http://groundwater.ucdavis.edu/msim

Date 18-Mar-2014

Department of Land Air and Water

University of California Davis

## Contents

## Usage

cc = Calc_Barycenters(p, MSH)

## Input:

* p* : [Np x 2] coordinates

* MSH* : [Nel, Nsh] Mesh element ids. Nel is the number of elements and Nsh is the number of shapefunctions. The ids correspond to the row of the array

**p**## Output

* cc* : [Nel x dim] coordinates of the element barycenters

## Example

Create a hypothetical mesh

p = 10 * rand(10,2); MSH = delaunay(p(:,1), p(:,2));

Calculate the barycenter of each element and plot

cc = Calc_Barycenters(p,MSH); triplot(MSH, p(:,1), p(:,2)) hold on plot(cc(:,1), cc(:,2),'or')