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# Copyright (C) 2004-2007 Anders Logg
#
# This file is part of FFC.
#
# FFC is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# FFC is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with FFC. If not, see <http://www.gnu.org/licenses/>.
#
# The bilinear form for the nonlinear term in the
# Navier-Stokes equations with fixed convective velocity.
#
# Compile this form with FFC: ffc NavierStokes.ufl

element = VectorElement("Lagrange", tetrahedron, 1)

u = TrialFunction(element)
v = TestFunction(element)

w = Coefficient(element)

a = w[j]*Dx(u[i], j)*v[i]*dx