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annotate inst/example/Poisson/Poisson.m @ 238:b96f6b12f8ca

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Move ufl to m-file in Poisson example
author Eugenio Gianniti <eugenio.gianniti@mail.polimi.it>
date Tue, 24 Jun 2014 16:43:13 +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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2 ##
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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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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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gedeone-octave <marcovass89@hotmail.it>
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14 ## this program; if not, see <http://www.gnu.org/licenses/>.
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15
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16 pkg load fem-fenics msh
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17
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18 ufl start Poisson
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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 f = Coefficient(element)
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24 ufl g = Coefficient(element)
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25 ufl
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26 ufl "a = inner(grad(u), grad(v))*dx"
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27 ufl L = f*v*dx + g*v*ds
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28 ufl end
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29
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30 # Create mesh and define function space
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31 x = y = linspace (0, 1, 33);
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32 mesh = Mesh(msh2m_structured_mesh (x, y, 1, 1:4));
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33
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34 V = FunctionSpace('Poisson', mesh);
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35
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36 # Define boundary condition
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37 bc = DirichletBC(V, @(x, y) 0.0, [2;4]);
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38
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39 f = Expression ('f', @(x,y) 10*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02));
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40 g = Expression ('g', @(x,y) sin (5.0 * x));
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41
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42 a = BilinearForm ('Poisson', V, V);
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43 L = LinearForm ('Poisson', V, f, g);
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44
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45 # Compute solution
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46 [A, b] = assemble_system (a, L, bc);
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47 sol = A \ b;
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48 u = Function ('u', V, sol);
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50 # Save solution in VTK format
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51 save (u, 'poisson');
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53 # Plot solution
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54 plot (u);