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######################################################## |
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# |
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# Copyright (c) 2003-2009 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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######################################################## |
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__copyright__="""Copyright (c) 2003-2009 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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from esys.escript import * |
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from esys.escript.linearPDEs import Poisson |
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from esys.finley import Rectangle |
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import numpy |
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import matplotlib |
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matplotlib.use('agg') #For interactive use, you can comment out this line |
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#It's just here to make testing easier |
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import pylab |
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#Testing whether we have a late enough version of matplotlib |
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try: |
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matplotlib.mlab.griddata |
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# generate domain: |
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mydomain = Rectangle(l0=1.,l1=1.,n0=40, n1=20) |
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# define characteristic function of Gamma^D |
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x = mydomain.getX() |
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gammaD = whereZero(x[0])+whereZero(x[1]) |
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# define PDE and get its solution u |
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mypde = Poisson(domain=mydomain) |
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mypde.setValue(f=1,q=gammaD) |
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u = mypde.getSolution() |
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|
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# interpolate u to a matplotlib grid: |
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x_grid = numpy.linspace(0.,1.,50) |
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y_grid = numpy.linspace(0.,1.,50) |
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x=mydomain.getX()[0].toListOfTuples() |
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y=mydomain.getX()[1].toListOfTuples() |
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z=interpolate(u,mydomain.getX().getFunctionSpace()).toListOfTuples() |
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z_grid = matplotlib.mlab.griddata(x,y,z,xi=x_grid,yi=y_grid ) |
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# interpolate u to a rectangular grid: |
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matplotlib.pyplot.contourf(x_grid, y_grid, z_grid, 5) |
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matplotlib.pyplot.savefig("u.png") |
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# uncommend this line if you want to interact with a plot window |
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#matplotlib.pyplot.show() |
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|
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except AttributeError: |
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print "Your version of matplotlib does not provide the griddata method.\nSkipping example.\n" |