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March 12, 2025 03:28
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Solución de la ecuación de Helmholtz inhomogénea para el problema de Dirichlet.
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "15bf2dc9-1f14-4f8b-ba90-f48c4bd02f28", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib widget" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "0b581857-22fa-4c03-ae10-65cc083fe9b4", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"from scipy.sparse import diags\n", | |
"from scipy.sparse.linalg import spsolve\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "62f11806-77c1-4841-8352-76d62b3ca6db", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def solve_helm(N=100, L=1, a1=2.0, a2=2.0, k=1.0):\n", | |
"\n", | |
" x = np.linspace(-L, L, N + 2)\n", | |
" dx = x[1] - x[0]\n", | |
" Y, X = np.meshgrid(x, x)\n", | |
" A = diags([-4. + k**2*dx**2, 1., 1., 1., 1.], [0,-1, 1, -N, N],\n", | |
" shape=(N**2, N**2))/dx**2\n", | |
" A = A.tocsr()\n", | |
" b = (k**2 - (a1 * np.pi)**2 - (a2 * np.pi)**2)\\\n", | |
" * np.sin(a1 * np.pi * X[1:-1, 1:-1].flatten()) * np.sin(a2 * np.pi * Y[1:-1, 1:-1].flatten())\n", | |
" sol = spsolve(A, b)\n", | |
" u_num = np.zeros((N + 2, N + 2))\n", | |
" u_num[1:-1, 1:-1] = np.reshape(sol, (N, N))\n", | |
" return X, Y, u_num" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "f84312f6-22e7-4c13-baac-8ff6e96aea0a", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"N = 400\n", | |
"a1 = 2.0\n", | |
"a2 = 2.0\n", | |
"\n", | |
"X, Y, u_num = solve_helm(N=N, a1=a1, a2=a2)\n", | |
"u_exact = np.sin(a1 * np.pi * X) * np.sin(a2 * np.pi * Y)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "5d84af26-9a85-4782-904e-c97224b4adff", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.colorbar.Colorbar at 0x22200941690>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"application/vnd.jupyter.widget-view+json": { | |
"model_id": "54e51659ce6a482585a5b5af4173799e", | |
"version_major": 2, | |
"version_minor": 0 | |
}, | |
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", 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" <div style=\"display: inline-block;\">\n", | |
" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n", | |
" Figure\n", | |
" </div>\n", | |
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' width=640.0/>\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure()\n", | |
"plt.contourf(X, Y, u_num,\n", | |
" cmap='magma', levels=10)\n", | |
"\n", | |
"plt.colorbar(shrink=0.8)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "4287d58c-43e8-49e4-b9e3-c8fbb84a966a", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.colorbar.Colorbar at 0x22200d01810>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"application/vnd.jupyter.widget-view+json": { | |
"model_id": "9659a4cf61f94dc99e1a31268f888b23", | |
"version_major": 2, | |
"version_minor": 0 | |
}, | |
"image/png": 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" <div style=\"display: inline-block;\">\n", | |
" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n", | |
" Figure\n", | |
" </div>\n", | |
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' width=640.0/>\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure()\n", | |
"plt.contourf(X, Y, u_exact, cmap='magma', levels=10)\n", | |
"plt.colorbar(shrink=0.8)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "7fa2adb1-bc9a-4af3-9e4c-ee7c9ab82983", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Relative error norm: 0.01222\n" | |
] | |
} | |
], | |
"source": [ | |
"rel_error = np.linalg.norm(u_num - u_exact) / np.linalg.norm(u_exact)\n", | |
"print('Relative error norm: %.5f' % rel_error)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "c5d1e10f-bc52-421f-8e20-0609aac2bf49", | |
"metadata": {}, | |
"source": [ | |
"## Convergencia del error" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "36c28833-5e7a-4841-9320-e96fa43c8569", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"N_list = np.logspace(1, 3, 20, dtype=int)\n", | |
"a1 = 2.0\n", | |
"a2 = 2.0\n", | |
"\n", | |
"rel_errors = []\n", | |
"for N in N_list:\n", | |
" X, Y, u_num = solve_helm(N=N, a1=a1, a2=a2)\n", | |
" u_exact = np.sin(a1 * np.pi * X) * np.sin(a2 * np.pi * Y)\n", | |
" rel_errors.append(np.linalg.norm(u_num - u_exact)/ np.linalg.norm(u_exact))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "cdcb4fda-e1e6-4673-8ffc-b28bd62db798", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Error relativo')" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"application/vnd.jupyter.widget-view+json": { | |
"model_id": "adccc09ad0f54ebc898e49e686c56d56", | |
"version_major": 2, | |
"version_minor": 0 | |
}, | |
"image/png": 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", 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"\n", | |
" <div style=\"display: inline-block;\">\n", | |
" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n", | |
" Figure\n", | |
" </div>\n", | |
" <img 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' width=640.0/>\n", | |
" </div>\n", | |
" " | |
], | |
"text/plain": [ | |
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure()\n", | |
"\n", | |
"plt.loglog(N_list, rel_errors)\n", | |
"plt.xlabel(\"Número de celdas\")\n", | |
"plt.ylabel(\"Error relativo\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "6d3b39f4-63d9-4495-bad6-1f9dec687172", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"-1.0056614461878512\n" | |
] | |
} | |
], | |
"source": [ | |
"from scipy.stats import linregress\n", | |
"\n", | |
"slope, intercept, r, p, se = linregress(np.log10(N_list), np.log10(rel_errors))\n", | |
"print(slope)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "05ed282f-d806-4daa-8cbb-04668ac25956", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.11.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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