Nitsche’s method applied to linear elasticity problems

dokken · July 10, 2025, 4:31pm

Non-matching meshes with Nitsche can not be done with the aforementioned tutorial.

For matching/submeshes, you could also consider

and

gist.github.com

https://gist.github.com/jorgensd/8a5c32f491195e838f5863ca88b27bce#file-problem-py

dg.py

from mpi4py import MPI
import dolfinx
import dolfinx.fem.petsc
import dolfinx.nls.petsc
import numpy
import argparse
from ufl import (
    Circumradius,
    FacetNormal,
    SpatialCoordinate,

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problem.py

# SPDX-License-Identifier: MIT

from mpi4py import MPI
import dolfinx
import dolfinx.fem.petsc
import ufl
import numpy as np
from petsc4py import PETSc
import numpy.typing as npt
from packaging.version import Version

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For non-marching with Nitsche I would suggest

or the strong formulation (MPC) at

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Nitsche’s method applied to linear elasticity problems

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