--- a +++ b/devel/example/Ficticious_Domain/Unsteady/L2_penalization/TentativeVelocity.ufl @@ -0,0 +1,37 @@ +## Copyright (C) 2013 Marco Vassallo <gedeone-octave@users.sourceforge.net> +## +## This program is free software; you can redistribute it and/or modify it under +## the terms of the GNU General Public License as published by the Free Software +## Foundation; either version 3 of the License, or (at your option) any later +## version. +## +## This program 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 General Public License for more +## details. +## +## You should have received a copy of the GNU General Public License along with +## this program; if not, see <http://www.gnu.org/licenses/>. + + +V = VectorElement("CG", triangle, 2) +Q = FiniteElement("CG", triangle, 1) +P0 = FiniteElement("DG", triangle, 0) +# Define trial and test functions +u = TrialFunction(V) +v = TestFunction(V) + +# Define coefficients +k = Constant(triangle) +u0 = Coefficient(V) +p0 = Coefficient(Q) +f = Coefficient(V) +sig = Coefficient(P0) +nu = Coefficient(P0) + +# Define bilinear and linear forms +eq = (1/k)*inner(u - u0, v)*dx + inner(grad(u)*u0, v)*dx + \ + nu*inner(grad(u), grad(v))*dx + sig * (inner (u, v))*dx \ + - inner(f, v)*dx - div(v)*p0*dx +a = lhs(eq) +L = rhs(eq)