Note
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Vertex value function¶
A vertex value function is a particular field function that lets invariant the mesh of a field and defined by a function such that:
Let’s note that the input dimension of still design the dimension of : . Its output dimension is equal to .
The creation of the VertexValueFunction object requires the function and the integer : the dimension of the vertices of the mesh .
This example illustrates the creation of a field from the function such as:
import openturns as ot
ot.Log.Show(ot.Log.NONE)
Create a mesh
N = 100
mesh = ot.RegularGrid(0.0, 1.0, N)
Create the function that acts the values of the mesh
h = ot.SymbolicFunction(["t", "x1", "x2"], ["t+x1^2+x2^2"])
Create the field function
f = ot.VertexValueFunction(h, mesh)
Evaluate f
inF = ot.Normal(2).getSample(N)
outF = f(inF)
# print input/output at first 10 mesh nodes
txy = mesh.getVertices()
txy.stack(inF)
txy.stack(outF)
txy[:10]