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Documentations
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@@ -161,7 +161,10 @@ Inverse problem
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:width: 800px
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:align: center
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:height: 400px
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:alt: alternate text
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:alt: alternate text
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.. raw:: html
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:file: examples/movie.html
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Mag Differential eq. approach
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*****************************
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+3
-3
@@ -10,7 +10,7 @@
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#
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# All configuration values have a default; values that are commented out
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# serve to show the default.
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import sphinx_rtd_theme
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import sys, os
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# If extensions (or modules to document with autodoc) are in another directory,
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@@ -93,8 +93,8 @@ pygments_style = 'sphinx'
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# The theme to use for HTML and HTML Help pages. See the documentation for
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# a list of builtin themes.
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html_theme = 'default'
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html_theme = 'sphinx_rtd_theme'
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html_theme_path = [sphinx_rtd_theme.get_html_theme_path()]
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# Theme options are theme-specific and customize the look and feel of a theme
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# further. For a list of options available for each theme, see the
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# documentation.
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@@ -1,4 +1,4 @@
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<div class="output" style=""><div class="output_area"><div class="prompt output_prompt">Out[509]:</div><div class="output_subarea output_html rendered_html output_pyout">
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<div class="output" style=""><div class="output_area"><div class="prompt output_prompt"></div><div class="output_subarea output_html rendered_html output_pyout">
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<script language="javascript">
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/* Define the Animation class */
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function Animation(frames, img_id, slider_id, interval, loop_select_id){
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@@ -55,7 +55,7 @@
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Animation.prototype.last_frame = function()
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{
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this.set_frame(this.frames.length - 1);
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}
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}
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Animation.prototype.slower = function()
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{
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@@ -201,9 +201,9 @@ FnSONdiL8Qci0lzwpOM5sQAAAABJRU5ErkJggg==
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"></button>
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<button onclick="animERCBNNRFBIVTPCOM.faster()">+</button>
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<form action="#n" name="_anim_loop_selectERCBNNRFBIVTPCOM" class="anim_control">
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<input type="radio" name="state" value="once"> Once
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<input type="radio" name="state" value="loop" checked=""> Loop
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<input type="radio" name="state" value="reflect"> Reflect
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<input type="radio" name="state" value="once"> Once
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<input type="radio" name="state" value="loop" checked=""> Loop
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<input type="radio" name="state" value="reflect"> Reflect
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</form>
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</div>
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@@ -216,7 +216,7 @@ FnSONdiL8Qci0lzwpOM5sQAAAABJRU5ErkJggg==
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var slider_id = "_anim_sliderERCBNNRFBIVTPCOM";
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var loop_select_id = "_anim_loop_selectERCBNNRFBIVTPCOM";
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var frames = new Array(0);
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frames[0] = "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABIAAAAFoCAYAAAAvh4ASAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\
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AAALEgAACxIB0t1+/AAAIABJREFUeJzt3b1SG+maB/BHnKna2oQPebNNQLC5DczGp4zF5rZh5gIM\
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+AZm8JnI4QDnAsZwso3WQG28x9KUc2PhfIzgAnZAcrChewOPdJAt2ZivRq9+vypVoX718bQa9Lz8\
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@@ -2271,4 +2271,4 @@ aQABAAAAJE4DCAAAACBx/z85KJK1LamKyAAAAABJRU5ErkJggg==\
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}, 0);
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})()
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</script>
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</div></div></div>
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</div></div></div>
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@@ -24,17 +24,9 @@
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"text": [
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"Populating the interactive namespace from numpy and matplotlib\n"
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]
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},
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{
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"output_type": "stream",
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"stream": "stderr",
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"text": [
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"WARNING: pylab import has clobbered these variables: ['axes', 'info', 'flag']\n",
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"`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
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]
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}
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],
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"prompt_number": 24
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"prompt_number": 1
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},
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{
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"cell_type": "markdown",
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@@ -56,16 +48,16 @@
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"hxind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
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"hyind = ((5,25,1.3),(41, 12.5),(5,25,1.3))\n",
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"hzind = ((5,25,1.3),(40, 12.5),(5,25,1.3))\n",
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"hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)\n",
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"M3 = Mesh.TensorMesh([hx, hy, hz], [-sum(hx)/2,-sum(hy)/2,-sum(hz)/2])"
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"cs = 25.\n",
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"hxind = [(cs,5,-1.3), (cs, 41),(cs,5,1.3)]\n",
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"hyind = [(cs,5,-1.3), (cs, 41),(cs,5,1.3)]\n",
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"hzind = [(cs,5,-1.3), (cs, 40),(cs,5,1.3)]\n",
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"M3 = Mesh.TensorMesh([hxind, hyind, hzind], 'CCC')"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 25
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"prompt_number": 10
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},
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{
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"cell_type": "markdown",
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@@ -88,7 +80,7 @@
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 27
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"prompt_number": 11
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},
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{
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"cell_type": "code",
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@@ -101,7 +93,7 @@
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 29
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"prompt_number": 12
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},
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{
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"cell_type": "markdown",
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@@ -123,18 +115,18 @@
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 30
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"prompt_number": 13
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"Bbc = CongruousMagBC(M3, np.array([Box, Boy, Boz]), chi)"
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"Bbc, Bbc_const = CongruousMagBC(M3, np.array([Box, Boy, Boz]), chi)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 31
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"prompt_number": 28
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},
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{
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"cell_type": "code",
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@@ -149,19 +141,19 @@
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{
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"metadata": {},
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"output_type": "display_data",
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"png": 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truncated
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||||
"png": 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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x338be50>"
|
||||
"<matplotlib.figure.Figure at 0xa46fb38>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 32
|
||||
"prompt_number": 29
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"M3.plotImage(np.log10(mu), imageType='CC')"
|
||||
"M3.plotImage(np.log10(mu))"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
@@ -169,21 +161,21 @@
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "pyout",
|
||||
"prompt_number": 33,
|
||||
"prompt_number": 30,
|
||||
"text": [
|
||||
"<matplotlib.collections.QuadMesh at 0x92842d0>"
|
||||
"<matplotlib.collections.QuadMesh at 0x10166160>"
|
||||
]
|
||||
},
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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truncated
|
||||
"png": "iVBORw0KGgoAAAANSUhEUgAAAl4AAAJWCAYAAACJconrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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 truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x57af690>"
|
||||
"<matplotlib.figure.Figure at 0xa504278>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 33
|
||||
"prompt_number": 30
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
@@ -225,15 +217,40 @@
|
||||
"Pbc,Pin, Pout = M3.getBCProjWF(BC, discretization='CC')\n",
|
||||
"Mc = Utils.sdiag(M3.vol)\n",
|
||||
"Div = Mc*Dface*Pin.T*Pin\n",
|
||||
"MfmuI = Utils.sdiag(1/M3.getFaceInnerProduct(mu = 1/mu).diagonal())\n",
|
||||
"Mfmu0 = 1/mu0*M3.getFaceInnerProduct()\n",
|
||||
"MfmuI = Utils.sdiag(1/M3.getFaceInnerProduct(1/mu).diagonal())\n",
|
||||
"Mfmu0 = M3.getFaceInnerProduct(1/mu0)\n",
|
||||
"A = -Div*MfmuI*Div.T\n",
|
||||
"rhs = -Div*MfmuI*Mfmu0*B0 + Div*B0 - Mc*Dface*Pout.T*Bbc"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 34
|
||||
"prompt_number": 31
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"print Mc.shape\n",
|
||||
"print Dface.shape\n",
|
||||
"print Pout.shape\n",
|
||||
"print Bbc.shape"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"output_type": "stream",
|
||||
"stream": "stdout",
|
||||
"text": [
|
||||
"(130050, 130050)\n",
|
||||
"(130050, 397851)\n",
|
||||
"(15402, 397851)\n",
|
||||
"(15402L,)\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 32
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -252,21 +269,21 @@
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 35
|
||||
"prompt_number": 33
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"import petsc4py\n",
|
||||
"import sys\n",
|
||||
"from sys import getrefcount\n",
|
||||
"petsc4py.init(sys.argv)\n",
|
||||
"from petsc4py import PETSc\n",
|
||||
"import PETScIO as IO\n",
|
||||
"Apetsc = PETSc.Mat().createAIJ(size=A.shape,csr=(A.indptr, A.indices, A.data))\n",
|
||||
"bpetsc = IO.arrayToVec(rhs)\n",
|
||||
"xpetsc = IO.arrayToVec(0*rhs)"
|
||||
"# import petsc4py\n",
|
||||
"# import sys\n",
|
||||
"# from sys import getrefcount\n",
|
||||
"# petsc4py.init(sys.argv)\n",
|
||||
"# from petsc4py import PETSc\n",
|
||||
"# import PETScIO as IO\n",
|
||||
"# Apetsc = PETSc.Mat().createAIJ(size=A.shape,csr=(A.indptr, A.indices, A.data))\n",
|
||||
"# bpetsc = IO.arrayToVec(rhs)\n",
|
||||
"# xpetsc = IO.arrayToVec(0*rhs)"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
@@ -286,55 +303,41 @@
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 35
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"# %%time\n",
|
||||
"# ksp = PETSc.KSP().create()\n",
|
||||
"# pc = PETSc.PC().create()\n",
|
||||
"# ksp.setOperators(Apetsc)\n",
|
||||
"# ksp.setType(ksp.Type.BCGS)\n",
|
||||
"# pc = ksp.getPC()\n",
|
||||
"# pc.setType(pc.Type.BJACOBI)\n",
|
||||
"# OptDB = PETSc.Options()\n",
|
||||
"# OptDB[\"ksp_rtol\"] = 1e-8\n",
|
||||
"# OptDB[\"pc_factor_levels\"] = 1\n",
|
||||
"# ksp.setFromOptions()\n",
|
||||
"# ksp.view()\n",
|
||||
"# ksp.solve(bpetsc, xpetsc)\n",
|
||||
"# print ksp.its# print ksp.its\n",
|
||||
"# phi = IO.vecToArray(xpetsc)\n",
|
||||
"# print np.linalg.norm(A*phi-rhs)/norm(rhs)"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 37
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"%%time\n",
|
||||
"ksp = PETSc.KSP().create()\n",
|
||||
"pc = PETSc.PC().create()\n",
|
||||
"ksp.setOperators(Apetsc)\n",
|
||||
"ksp.setType(ksp.Type.BCGS)\n",
|
||||
"pc = ksp.getPC()\n",
|
||||
"pc.setType(pc.Type.BJACOBI)\n",
|
||||
"OptDB = PETSc.Options()\n",
|
||||
"OptDB[\"ksp_rtol\"] = 1e-8\n",
|
||||
"OptDB[\"pc_factor_levels\"] = 1\n",
|
||||
"ksp.setFromOptions()\n",
|
||||
"ksp.view()\n",
|
||||
"ksp.solve(bpetsc, xpetsc)\n",
|
||||
"print ksp.its# print ksp.its\n",
|
||||
"phi = IO.vecToArray(xpetsc)\n",
|
||||
"print np.linalg.norm(A*phi-rhs)/norm(rhs)"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"output_type": "stream",
|
||||
"stream": "stdout",
|
||||
"text": [
|
||||
"81\n",
|
||||
"7.00090107929e-09\n",
|
||||
"CPU times: user 639 ms, sys: 7.95 ms, total: 647 ms\n",
|
||||
"Wall time: 647 ms\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 39
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"%%time\n",
|
||||
"m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(-1/A.diagonal()))\n",
|
||||
"phi, info = sp.linalg.bicgstab(A, rhs, tol=1e-6, maxiter = 1000, M =m1)\n",
|
||||
"# m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(np.sqrt(1/(Utils.mkvc(-A.diagonal())))))\n",
|
||||
"# m2 = m1\n",
|
||||
"# phi, info = sp.linalg.qmr(A, rhs, tol = 1e-5, M1 = m1, M2=m2)"
|
||||
"phi, info = sp.linalg.bicgstab(A, rhs, tol=1e-6, maxiter = 1000, M =m1)"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
@@ -343,12 +346,11 @@
|
||||
"output_type": "stream",
|
||||
"stream": "stdout",
|
||||
"text": [
|
||||
"CPU times: user 994 ms, sys: 0 ns, total: 994 ms\n",
|
||||
"Wall time: 994 ms\n"
|
||||
"Wall time: 1.53 s\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 41
|
||||
"prompt_number": 40
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -369,7 +371,7 @@
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 42
|
||||
"prompt_number": 41
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -388,11 +390,11 @@
|
||||
"stream": "stdout",
|
||||
"text": [
|
||||
"0\n",
|
||||
"7.98141453262e-07\n"
|
||||
"8.03408261327e-07\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 43
|
||||
"prompt_number": 42
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
@@ -405,22 +407,30 @@
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [
|
||||
"figsize(16,5)\n",
|
||||
"M3.plotImage(B, imageType='F')"
|
||||
"figsize(5,5)\n",
|
||||
"M3.plotSlice(phi)"
|
||||
],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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truncated
|
||||
"text": [
|
||||
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|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 17
|
||||
"prompt_number": 53
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
@@ -464,7 +474,7 @@
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 18
|
||||
"prompt_number": 54
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -478,7 +488,7 @@
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 19
|
||||
"prompt_number": 55
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -499,7 +509,7 @@
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"prompt_number": 20
|
||||
"prompt_number": 56
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -519,21 +529,21 @@
|
||||
{
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"output_type": "pyout",
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|
||||
"prompt_number": 57,
|
||||
"text": [
|
||||
"[<matplotlib.lines.Line2D at 0x33a4250>]"
|
||||
"[<matplotlib.lines.Line2D at 0xaddff28>]"
|
||||
]
|
||||
},
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x33a1110>"
|
||||
"<matplotlib.figure.Figure at 0xa53b2b0>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 21
|
||||
"prompt_number": 57
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -553,21 +563,21 @@
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "pyout",
|
||||
"prompt_number": 22,
|
||||
"prompt_number": 58,
|
||||
"text": [
|
||||
"<matplotlib.colorbar.Colorbar instance at 0x84e4518>"
|
||||
"<matplotlib.colorbar.Colorbar instance at 0x0000000012124588>"
|
||||
]
|
||||
},
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x33a1590>"
|
||||
"<matplotlib.figure.Figure at 0xa5422b0>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 22
|
||||
"prompt_number": 58
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -596,21 +606,13 @@
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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truncated
|
||||
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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x4b21e90>"
|
||||
"<matplotlib.figure.Figure at 0x1232e908>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 23
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"collapsed": false,
|
||||
"input": [],
|
||||
"language": "python",
|
||||
"metadata": {},
|
||||
"outputs": []
|
||||
"prompt_number": 59
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -630,21 +632,21 @@
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "pyout",
|
||||
"prompt_number": 59,
|
||||
"prompt_number": 60,
|
||||
"text": [
|
||||
"[<matplotlib.lines.Line2D at 0x851d590>]"
|
||||
"[<matplotlib.lines.Line2D at 0x213e39e8>]"
|
||||
]
|
||||
},
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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|
||||
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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x630ec90>"
|
||||
"<matplotlib.figure.Figure at 0x1232c550>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 59
|
||||
"prompt_number": 60
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
@@ -672,13 +674,13 @@
|
||||
{
|
||||
"metadata": {},
|
||||
"output_type": "display_data",
|
||||
"png": 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truncated
|
||||
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truncated
|
||||
"text": [
|
||||
"<matplotlib.figure.Figure at 0x1138dfd0>"
|
||||
"<matplotlib.figure.Figure at 0x17dc7550>"
|
||||
]
|
||||
}
|
||||
],
|
||||
"prompt_number": 73
|
||||
"prompt_number": 61
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
|
||||
Reference in new issue
Block a user