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JuliaFEM.jl/docs/getfem_examples/A_step-by-step_basic_example_python.ipynb
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2015-05-21 22:54:28 +03:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#A step-by-step basic example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## import basic modules"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import getfem as gf\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## creation of a simple cartesian mesh"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"m = gf.Mesh('cartesian', np.arange(0,1.1,0.1), np.arange(0,1.1,0.1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## create a MeshFem of for a field of dimension 1 (i.e. a scalar field)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mf = gf.MeshFem(m, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## assign the Q2 fem to all convexes of the MeshFem"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mf.set_fem(gf.Fem('FEM_QK(2,2)'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## view the expression of its basis functions on the reference convex"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"('1 - 3*x - 3*y + 2*x^2 + 9*x*y + 2*y^2 - 6*x^2*y - 6*x*y^2 + 4*x^2*y^2', '4*x - 4*x^2 - 12*x*y + 12*x^2*y + 8*x*y^2 - 8*x^2*y^2', '-x + 2*x^2 + 3*x*y - 6*x^2*y - 2*x*y^2 + 4*x^2*y^2', '4*y - 12*x*y - 4*y^2 + 8*x^2*y + 12*x*y^2 - 8*x^2*y^2', '16*x*y - 16*x^2*y - 16*x*y^2 + 16*x^2*y^2', '-4*x*y + 8*x^2*y + 4*x*y^2 - 8*x^2*y^2', '-y + 3*x*y + 2*y^2 - 2*x^2*y - 6*x*y^2 + 4*x^2*y^2', '-4*x*y + 4*x^2*y + 8*x*y^2 - 8*x^2*y^2', 'x*y - 2*x^2*y - 2*x*y^2 + 4*x^2*y^2')\n"
]
}
],
"source": [
"print gf.Fem('FEM_QK(2,2)').poly_str()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## an exact integration will be used"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mim = gf.MeshIm(m, gf.Integ('IM_EXACT_PARALLELEPIPED(2)'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## detect the border of the mesh"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"border = m.outer_faces()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## mark it as boundary #42"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"m.set_region(42, border)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## empty real model"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"md = gf.Model('real')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## declare that \"u\" is an unknown of the system on the finite element method `mf`"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"md.add_fem_variable('u', mf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## add generic elliptic brick on \"u\""
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"md.add_Laplacian_brick(mim, 'u');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## add Dirichlet condition"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"g = mf.eval('x*(x-1) - y*(y-1)')\n",
"md.add_initialized_fem_data('DirichletData', mf, g)\n",
"md.add_Dirichlet_condition_with_multipliers(mim, 'u', mf, 42, 'DirichletData')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## solve the linear system"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0, 1)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"md.solve()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## extracted solution"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"u = md.variable('u')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## export computed solution"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mf.export_to_pos('u.pos',u,'Computed solution')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting gscript\n"
]
}
],
"source": [
"%%writefile gscript\n",
"Print \"solution.png\";\n",
"Exit;"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Print \"solution.png\";\r\n",
"Exit;"
]
}
],
"source": [
"!cat gscript"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"!gmsh u.pos gscript"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from IPython.core.display import Image"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sImE3ScfnEQpnSmQA6rpG76CgV4Rj/aIdPaIusgIo9H8mbwF71o5x/HPjSO1K3fB4UxDu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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image('solution.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# add source term"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f = mf.eval('10')\n",
"md.add_initialized_fem_data('VolumicData', mf, f)\n",
"md.add_source_term_brick(mim, 'u', 'VolumicData')"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"md.solve()\n",
"u = md.variable('u')\n",
"mf.export_to_pos('u.pos',u,'Computed solution')"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting gscript\n"
]
}
],
"source": [
"%%writefile gscript\n",
"Print \"solution_with_source_term.png\";\n",
"Exit;"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!gmsh u.pos gscript"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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BmHG7437DLeOOKjQ6groZBJaK7+klVZPSk0uAcOcfhxnQRERlFlYUJNVLC6T6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\naIRzgJLddWGGMf9Fnyxjz6CBf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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image('solution_with_source_term.png')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}