Dear all: I am new to fenics, and I wonder if it’s possible to find the gradient w.r.t the MeshFunction? More specified: For a given mesh, with stored simulation result from external numerical model, we denote the f_{i} \in R be the value of the i-th mesh center. So we have no explicit expressi…

An oversight perhaps is using a DG space V^p_\text{DG} of degree p=0. Naturally the broken gradient operator defined on a mesh \mathcal{T}_h = \{\kappa\} is \nabla_h := \nabla|_{\kappa \in \mathcal{T}_h} when applied to a function \nabla_h u_h(x) = 0, \forall u_h \in V^0_\text{DG}. So the trick woul…

[Gradient w.r.t MeshFunction]

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dokken November 24, 2022, 1:43pm 2

You would have to convert your mesh function into a function in the (“DG”, 0) space, see for instance: How to define different materials / importet 3D geometry (gmsh) - #2 by dokken

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[Gradient w.r.t MeshFunction]

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