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annotate inst/example/Evolution/Evolution.m @ 239:cb6f11a09667

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Move ufl to m-file in Evolution example
author Eugenio Gianniti <eugenio.gianniti@mail.polimi.it>
date Tue, 24 Jun 2014 16:55:49 +0200
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children
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1 ## Copyright (C) 2013 Marco Vassallo <gedeone-octave@users.sourceforge.net>
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gedeone-octave <marcovass89@hotmail.it>
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2 ##
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gedeone-octave <marcovass89@hotmail.it>
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3 ## This program is free software; you can redistribute it and/or modify it under
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gedeone-octave <marcovass89@hotmail.it>
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4 ## the terms of the GNU General Public License as published by the Free Software
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gedeone-octave <marcovass89@hotmail.it>
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5 ## Foundation; either version 3 of the License, or (at your option) any later
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gedeone-octave <marcovass89@hotmail.it>
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6 ## version.
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7 ##
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8 ## This program is distributed in the hope that it will be useful, but WITHOUT
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gedeone-octave <marcovass89@hotmail.it>
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9 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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gedeone-octave <marcovass89@hotmail.it>
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10 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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gedeone-octave <marcovass89@hotmail.it>
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11 ## details.
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12 ##
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13 ## You should have received a copy of the GNU General Public License along with
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14 ## this program; if not, see <http://www.gnu.org/licenses/>.
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16 pkg load fem-fenics msh
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18 ufl start Evolution
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19 ufl 'element = FiniteElement("Lagrange", triangle, 1)'
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20 ufl
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21 ufl u = TrialFunction(element)
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22 ufl v = TestFunction(element)
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23 ufl
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24 ufl u0 = Coefficient(element)
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25 ufl
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26 ufl dt = Constant(triangle)
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27 ufl
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28 ufl eq = (1/dt)*(u-u0)*v*dx + "inner(grad(u), grad(v))*dx"
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29 ufl a = rhs (eq)
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30 ufl L = lhs (eq)
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31 ufl end
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33 problem = 'Evolution';
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35 mesh = Mesh (msh2m_structured_mesh (0:0.05:1, 0:0.05:1, 1, 1:4));
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37 V = FunctionSpace(problem, mesh);
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39 bc = DirichletBC (V, @(x,y) 1, 1:4);
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40
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41 t = 0;
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42 dt = 0.01;
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43 T = 0.3;
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45 k = Expression ('dt', @(x,y) dt);
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47 u0 = Expression ('u0', @(x,y) 10*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02));
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49 a = BilinearForm (problem, V, V, k);
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50 L = LinearForm (problem, V, k, u0);
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52 A = assemble (a, bc);
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53
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54 # solve the problem for each time step
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55 # We need to update only the lhs
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56 while t < T
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57 t += dt;
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58
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59 # we can pass u0 to the lhs indifferently as a fem_coeff or
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60 # as a fem_func
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61 L = LinearForm (problem, V, k, u0);
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62 b = assemble (L, bc);
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64 u = A \ b;
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66 u0 = Function ('u0', V, u);
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67
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68 #press Q to make the plot continue
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69 plot (u0);
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70 end