area
Area of 2-D mesh elements
Description
Examples
Area of Entire 2-D Mesh
Generate a 2-D mesh and find its area.
Create a PDE model.
model = createpde;
Include the geometry of the built-in function lshapeg
. Plot the geometry.
geometryFromEdges(model,@lshapeg); pdegplot(model,"FaceLabels","on")
Generate a mesh and plot it.
mesh = generateMesh(model); figure pdemesh(model)
Compute the area of the entire mesh.
ma = area(mesh)
ma = 3.0000
Area of Individual Elements of 2-D Mesh
Generate a 2-D mesh and find the area of each element.
Create a PDE model.
model = createpde;
Include the geometry of the built-in function lshapeg
. Plot the geometry.
geometryFromEdges(model,@lshapeg); pdegplot(model,"FaceLabels","on")
Generate a mesh and plot it.
mesh = generateMesh(model); figure pdemesh(model)
Compute the area of the entire mesh and the area of each individual element of the mesh. Display the areas of the first 5 elements.
[ma,mi] = area(mesh); mi(1:5)
ans = 1×5
0.0054 0.0054 0.0050 0.0055 0.0055
Total Area of Group of Elements
Find the combined area of the elements associated with a particular face of a 2-D mesh.
Create a PDE model.
model = createpde;
Include the geometry of the built-in function lshapeg
. Plot the geometry.
geometryFromEdges(model,@lshapeg); pdegplot(model,"FaceLabels","on")
Generate a mesh and plot it.
mesh = generateMesh(model); figure pdemesh(model)
Find the elements associated with face 1 and compute the total area of these elements.
Ef1 = findElements(mesh,"region","Face",1); maf1 = area(mesh,Ef1)
maf1 = 1
Find how much of the total mesh area belongs to these elements. Return the result as a percentage.
maf1_percent = maf1/area(mesh)*100
maf1_percent = 33.3333
Input Arguments
mesh
— Mesh object
Mesh
property of a PDEModel
object | output of generateMesh
Mesh object, specified as the Mesh
property of a PDEModel
object or as the
output of generateMesh
.
Example: model.Mesh
elements
— Element IDs
positive integer | matrix of positive integers
Element IDs, specified as a positive integer or a matrix of positive integers.
Example: [10 68 81 97 113 130 136 164]
Output Arguments
A
— Area
positive number
Area of the entire mesh or the combined area of the specified elements of the mesh, returned as a positive number.
AE
— Areas of individual elements
row vector of positive numbers
Areas of individual elements, returned as a row vector of positive numbers.
Version History
Introduced in R2018a
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