--- a +++ b/devel/example/Ficticious_Domain/Steady_state/L2_penalization/A_L2.ufl @@ -0,0 +1,31 @@ +## 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/>. + +P2 = VectorElement("CG", triangle, 2) +P1 = FiniteElement("CG", triangle, 1) +P0 = FiniteElement("DG", triangle, 0) +TH = P2 + + +u = TrialFunction(TH) +v = TestFunction(TH) + +nu = Coefficient(P0) +sig = Coefficient(P0) +u0 = Coefficient(P2) +f = Coefficient(P2) + +a = (nu * inner (grad (u), grad (v)) + sig * (inner (u, v)) + inner(grad(u)*u0, v)) * dx +L = (inner(f, v))*dx