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misc/test_PriorSampler.ipynb

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survey_work/problems/poisson/Poisson.ipynb

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"This notebook implements Poisson equation where diffusivity is uncertain and sampled from log-normal like distribution. Dependencies are mentioned in the `neuralop.yml` file in the root directory of this repository. \n",
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"\n",
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"## Problem description\n",
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"Consider a two dimensional domain $\\Omega = (0, 1) \\times (0, 1) \\subset \\mathbb{R}^2$ and suppose $u: \\Omega \\to \\mathbf{R}$ denotes the temperature field. The differential equation for temperature field is given by:\n",
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"Consider a two dimensional domain $D_u = (0, 1) \\times (0, 1) \\subset \\mathbb{R}^2$ and suppose $u: \\Omega \\to \\mathbf{R}$ denotes the temperature field. The differential equation for temperature field is given by:\n",
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"\\begin{equation}\\tag{1}\n",
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" \\begin{aligned}\n",
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" -\\nabla \\cdot \\left( m(x) \\nabla u(x) \\right) &= f(x)\\,, \\qquad &\\forall x \\in D_u\\,, \\\\\n",

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