jorgensd

Copyright 2026 Jørgen S. Dokken and Simula Research Laboratory

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jorgensd

# Author Jorgen S. Dokken
# SPDX license identifier: MIT

import gmsh
import scifem
from mpi4py import MPI
import basix.ufl
import dolfinx.fem.petsc
import ufl
import numpy as np

jorgensd

from mpi4py import MPI

try:
    from petsc4py import PETSc

    import dolfinx

    if not dolfinx.has_petsc:
        print("This demo requires DOLFINx to be compiled with PETSc enabled.")
        exit(0)

jorgensd

import dolfinx
import ufl
import basix
import numpy as np
from mpi4py import MPI

comm = MPI.COMM_WORLD

#         (3)
#          |

jorgensd

from mpi4py import MPI
import numpy as np
import dolfinx
import ufl
import basix.ufl

mesh = dolfinx.mesh.create_unit_square(MPI.COMM_WORLD, 10, 10)

V = dolfinx.fem.functionspace(mesh, ("Lagrange", 1, (2,)))
u = dolfinx.fem.Function(V)

jorgensd

"""
Hermite as coordinate element in DOLFINx
Author: Jørgen S. Dokken
SPDX License identifier: MIT
"""

from mpi4py import MPI
import dolfinx

import basix.ufl

jorgensd

from dataclasses import dataclass
import shutil

from mpi4py import MPI
from petsc4py import PETSc
import dolfinx.fem.petsc
from dolfinx_external_operator import (
    FEMExternalOperator,
    evaluate_external_operators,
    evaluate_operands,

jorgensd

from mpi4py import MPI

import dolfinx
import numpy as np
from pathlib import Path

cube = dolfinx.mesh.create_unit_cube(MPI.COMM_WORLD, nx=3, ny=3, nz=3)


def left_cells(x):

jorgensd

# Consistently orient jump integrals on a mesh with a bifurcation
#
# The idea of this demo is to say that the jump at a bifurcation with three cells should be:
# u(0) - u(1) - u(2) where u(0) is taken from the cell with the lowest value, while u(1) and u(2) are taken from the two other cells.
#
#  \         /
#   \ u1    / u2
#    \     /
#     \   /
#      \ /

jorgensd

# This file was generated by running
#
# python cmake/scripts/generate-cmakefiles.py from dolfinx/cpp
#
cmake_minimum_required(VERSION 3.19)

set(PROJECT_NAME demo_real_space)
project(${PROJECT_NAME} LANGUAGES C CXX)

# Set C++20 standard