💄

Author: dionhaefner

examples/fem-shapeopt/demo.ipynb

@@ -27,7 +27,7 @@
     "\n",
     "The design space is defined using a geometry library called PyVista, which does not support automatic differentiation. However, we can enable differentiability of this operation by using a finite difference approximation of the Jacobian matrix.\n",
     "\n",
-    "We denote the design space as a function $g$ that maps the design variables to a signed distance field. Then, we can then define the density field $\\rho(\\mathbf{x})$ as a function of the SDF value $g(\\mathbf{x})$. Finally we denote the differentiable finite element method (FEM) solver as $f$, which takes the density field as input and returns the structure's compliance.  Therefore, the optimization problem can be formulated as follows:\n",
+    "We denote the design space as a function $g$ that maps the design variables to a signed distance field. Then, we can then define the density field $\\rho(\\mathbf{x})$ as a function of a signed distance field (SDF) value $g(\\mathbf{x})$. Finally we denote the differentiable finite element method (FEM) solver as $f$, which takes the density field as input and returns the structure's compliance.  Therefore, the optimization problem can be formulated as follows:\n",
     "\n",
     "\\begin{equation}\n",
     "\\min_{\\theta} f(\\rho(g(\\theta))).\n",
@@ -213,7 +213,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": null,
    "id": "c5c123c8",
    "metadata": {},
    "outputs": [
@@ -239,6 +239,7 @@
     "        params,\n",
     "        radius=bar_radius,\n",
     "    )\n",
+    "    # Concatenate all pipe geometries into a single PolyData object\n",
     "    geometry = sum(geometries, start=pv.PolyData())\n",
     "    sdf = compute_sdf(params, radius=bar_radius, Lx=Lx, Ly=Ly, Nx=Nx, Ny=Ny)\n",
     "    isoval = sdf.contour(isosurfaces=[0.0], scalars=\"implicit_distance\")\n",

examples/fem-shapeopt/fem_tess/tesseract_environment.yaml

@@ -1,7 +1,6 @@
 name: jax-fem-env
 channels:
   - conda-forge
-  - defaults
 dependencies:
   - python==3.12
   - numpy==2.3.0