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9 …ithub.com/CEED/libCEED/), the low-level API library for efficient high-order discretization method…
11 …"While libCEED's focus is on high-order finite/spectral element method implementations, the approa…
29     "! python -m pip install libceed"
38 …documentation](https://libceed.org/en/latest/libCEEDapi.html#finite-element-operator-decomposition…
57     "plt.style.use('ggplot')\n",
62     "    result *= np.tanh(x[d] - center)\n",
79 …"The Lagrange interpolation nodes are at the Gauss-Lobatto points, so interpolation to Gauss-Lobat…
203     "      x[d*X_dim + i] = 1 if (i % (2**(dim-d))) // (2**(dim-d-1)) else -1\n",
241     "        plt.scatter(x, y, c=np.array(u_array).reshape(Q, Q))\n",
242     "        plt.xlim(-1, 1)\n",
243     "        plt.ylim(-1, 1)\n",
271     "      x_array[d*X_dim + i] = 1 if (i % (2**(dim-d))) // (2**(dim-d-1)) else -1\n",
310     "  # Check that (1' * G * u - u' * (G' * 1)) is numerically zero\n",
311     "  print('1T * G * u - uT * (GT * 1) =', np.abs(sum_1 - sum_2))"
327    "mimetype": "text/x-python",