mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
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530 lines
133 KiB
Plaintext
530 lines
133 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#A step-by-step basic example"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## import basic modules"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"from getfem import Mesh, MeshFem, Fem, MeshIm, Integ, Model\n",
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"from numpy import arange"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## creation of a simple cartesian mesh"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"m = Mesh('cartesian', arange(0,1.1,0.1), arange(0,1.1,0.1))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## create a MeshFem of for a field of dimension 1 (i.e. a scalar field)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"mf = MeshFem(m, 1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## assign the Q2 fem to all convexes of the MeshFem"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"mf.set_fem(Fem('FEM_QK(2,2)'))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## view the expression of its basis functions on the reference convex"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"('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"
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]
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}
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],
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"source": [
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"print Fem('FEM_QK(2,2)').poly_str()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## an exact integration will be used"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"mim = MeshIm(m, Integ('IM_EXACT_PARALLELEPIPED(2)'))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## detect the border of the mesh"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"border = m.outer_faces()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## mark it as boundary #42"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"m.set_region(42, border)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## empty real model"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"md = Model('real')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## declare that \"u\" is an unknown of the system on the finite element method `mf`"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"md.add_fem_variable('u', mf)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## add generic elliptic brick on \"u\""
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"md.add_Laplacian_brick(mim, 'u');"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## add Dirichlet condition"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"1"
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]
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},
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"execution_count": 12,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"g = mf.eval('x*(x-1) - y*(y-1)')\n",
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"md.add_initialized_fem_data('DirichletData', mf, g)\n",
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"md.add_Dirichlet_condition_with_multipliers(mim, 'u', mf, 42, 'DirichletData')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## solve the linear system"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(0, 1)"
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]
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},
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"execution_count": 13,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"md.solve()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## extracted solution"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"u = md.variable('u')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## export computed solution"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"mf.export_to_pos('u.pos',u,'Computed solution')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Overwriting gscript\n"
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]
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}
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],
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"source": [
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"%%writefile gscript\n",
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"Print \"A_step-by-step_basic_example_python_image1.png\";\n",
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"Exit;"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Print \"A_step-by-step_basic_example_python_image1.png\";\r\n",
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"Exit;"
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]
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}
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],
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"source": [
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"!cat gscript"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 18,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"!gmsh u.pos gscript"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"from IPython.core.display import Image"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 20,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"image/png": 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sImE3ScfnEQpnSmQA6rpG76CgV4Rj/aIdPaIusgIo9H8mbwF71o5x/HPjSO1K3fB4UxDu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\nAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<IPython.core.display.Image object>"
|
|
]
|
|
},
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"Image('A_step-by-step_basic_example_python_image1.png')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# add source term"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"2"
|
|
]
|
|
},
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"f = mf.eval('5')\n",
|
|
"md.add_initialized_fem_data('VolumicData', mf, f)\n",
|
|
"md.add_source_term_brick(mim, 'u', 'VolumicData')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"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": 23,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Overwriting gscript\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%writefile gscript\n",
|
|
"Print \"A_step-by-step_basic_example_python_image2.png\";\n",
|
|
"Exit;"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"!gmsh u.pos gscript"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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aIl9HGJEPys2Egq4WFx6HASA8WYYVC8t65JcvnzjBIY0RJptCse2sA2/S4I/s4qQmMPjr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xEd7BqshNFaa1R/L2MvVHeoVxMuBlhkVtiJ6mCZfuAhtY9Slpjsrhg1Wlg96FDXzoLmxrzrT0EF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\n",
|
|
"text/plain": [
|
|
"<IPython.core.display.Image object>"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"Image('A_step-by-step_basic_example_python_image2.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
|
|
}
|