area

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

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

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