Prescribing spatially varying cell sizes

[kamensky]

I don’t know of a way to prescribe cell size as a function, but you can refine cells in subdomains, as illustrated in here

Adapt error in 2018.1.0

Are you maybe looking for the refine() function? Take a look at the following script: from dolfin import * # Define mesh and subdomain: mesh = UnitSquareMesh(10,10) d = mesh.topology().dim() filmx = CompiledSubDomain("x[1] > 1.0-x[0]-DOLFIN_EPS") # Refinement using the `refine()` function and a Boolean `MeshFunction`: r_markers = MeshFunction("bool", mesh, d, False) filmx.mark(r_markers, True) refinedMesh = refine(mesh,r_markers) # Transfering a non-negative integer-valued (`size_t`) `MeshF…

or also deform a given mesh according to a function, to focus refinement in a given location:

from dolfin import *

mesh = UnitSquareMesh(10,10)
V = VectorFunctionSpace(mesh,"Lagrange",1)
x = SpatialCoordinate(mesh)
meshDisp = Constant(0.1)*as_vector((sin(2.0*pi*x[0])*sin(pi*x[1]),
                                    sin(2.0*pi*x[1])*sin(pi*x[0])))
ALE.move(mesh,project(meshDisp,V))

from matplotlib import pyplot as plt
plot(mesh)
plt.show()