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Area of 2-D mesh elements
A = area(mesh)
[A,AE] = area(mesh)
A = area(mesh,elements)
A = area(mesh) returns the area A of the entire mesh.
A
mesh
example
[A,AE] = area(mesh) also returns a row vector AE containing areas of each individual element of the mesh.
AE
A = area(mesh,elements) returns the combined area of the specified elements of the mesh.
elements
collapse all
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.
lshapeg
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.
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.
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
Mesh
PDEModel
generateMesh
Mesh object, specified as the Mesh property of a PDEModel object or as the output of generateMesh.
Example: model.Mesh
model.Mesh
Element IDs, specified as a positive integer or a matrix of positive integers.
Example: [10 68 81 97 113 130 136 164]
[10 68 81 97 113 130 136 164]
Area of the entire mesh or the combined area of the specified elements of the mesh, returned as a positive number.
Areas of individual elements, returned as a row vector of positive numbers.
Introduced in R2018a
volume | findElements | findNodes | meshQuality | FEMesh
volume
findElements
findNodes
meshQuality
FEMesh
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