Re-ran raw string changer. Unchecked.

nagelt · Oct 31, 2024 · bc1cd28 · bc1cd28
1 parent d4694d9
commit bc1cd28
Show file tree

Hide file tree

Showing 17 changed files with 1,207 additions and 1,180 deletions.
diff --git a/00_ODEs.ipynb b/00_ODEs.ipynb
diff --git a/06_soil_column_FEM.ipynb b/06_soil_column_FEM.ipynb
@@ -204,7 +204,7 @@
       "source": [
         "plt.xlabel(r'$z$')\n",
         "plt.ylabel(r'element ID')\n",
-        "plt.title('Finite element mesh')\n",
+        "plt.title(r'Finite element mesh')\n",
         "for i,elem in enumerate(elements):\n",
         "    if (i==0):\n",
         "        plt.plot(elem._line_element__coords,[i]*elem._line_element__nnodes, 'bs-', label=r'elements')\n",
@@ -673,7 +673,7 @@
       "source": [
         "K, f = global_assembler(nodes,elements,solution)\n",
         "plt.spy(K,marker='.')\n",
-        "plt.title('sparsity pattern')\n",
+        "plt.title(r'sparsity pattern')\n",
         "plt.tight_layout()"
       ]
     },
@@ -733,7 +733,7 @@
       "source": [
         "plt.ylabel(r'$z$ / m')\n",
         "plt.xlabel(r'$-u_z$ / mm')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(-solution*1e3, nodes, 'ro-', label=r'FEM')\n",
         "plt.plot(reference_solution*1e3, reference_z, ls='--', color='black', label=r'analytical')\n",
         "plt.legend();"
@@ -767,7 +767,7 @@
       "source": [
         "plt.ylabel(r'$z$ / m')\n",
         "plt.xlabel(r'$-u_z$ / mm')\n",
-        "plt.title('Mesh convergence')\n",
+        "plt.title(r'Mesh convergence')\n",
         "for i in [3,5,11]:\n",
         "    number_of_elements = i\n",
         "    nodes_per_element = 2\n",

diff --git a/06_soil_column_FEM_HM.ipynb b/06_soil_column_FEM_HM.ipynb
@@ -352,7 +352,7 @@
       "source": [
         "plt.xlabel(r'$z$')\n",
         "plt.ylabel(r'element ID')\n",
-        "plt.title('Finite element mesh for $u$')\n",
+        "plt.title(r'Finite element mesh for $u$')\n",
         "for i,elem in enumerate(elements_u):\n",
         "    if (i==0):\n",
         "        plt.plot(elem._line_element__coords,[i]*elem._line_element__nnodes, 'bs-', label=r'elements')\n",
@@ -383,7 +383,7 @@
       "source": [
         "plt.xlabel(r'$z$')\n",
         "plt.ylabel(r'element ID')\n",
-        "plt.title('Finite element mesh for $p$')\n",
+        "plt.title(r'Finite element mesh for $p$')\n",
         "for i,elem in enumerate(elements_p):\n",
         "    if (i==0):\n",
         "        plt.plot(elem._line_element__coords,[i]*elem._line_element__nnodes, 'bs-', label=r'elements')\n",
@@ -1006,7 +1006,7 @@
         "K, f = global_assembler(elements_u,elements_p,solution,solution*1.1,0.5)\n",
         "plt.imshow(K, cmap='turbo',alpha=np.where(K==0,0.,1.))\n",
         "plt.colorbar()\n",
-        "plt.title('sparsity pattern')\n",
+        "plt.title(r'sparsity pattern')\n",
         "plt.tight_layout()"
       ]
     },

diff --git a/06_soil_column_FEM_LD.ipynb b/06_soil_column_FEM_LD.ipynb
@@ -445,7 +445,7 @@
       "source": [
         "plt.ylabel(r'$z$ / m')\n",
         "plt.xlabel(r'$u_z$ / mm')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(solution*1e3, nodes, 'ro-', label=r'FEM')\n",
         "#plt.plot(reference_solution*1e3, reference_z, ls='--', color='black', label=r'load-free, small strain')\n",
         "plt.legend();"

diff --git a/07_Terzaghi_1D_consolidation.ipynb b/07_Terzaghi_1D_consolidation.ipynb
@@ -531,7 +531,7 @@
       "source": [
         "plt.xlabel(r'$z$ / m')\n",
         "plt.ylabel(r'$p$ / kPa')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(nodes, sols[0]/1.e3, marker='o', label=r'$t = %i$ d' %(times[0]/60/60))\n",
         "plt.plot(nodes, sols[1]/1.e3, marker='o', label=r'$t = %i$ d' %(times[1]/60/60/24))\n",
         "plt.plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
@@ -589,7 +589,7 @@
         "        ax[i][j].plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('$\\mathrm{d}t = %i$ h, $n_\\mathrm{el} = %i$, $\\mathrm{Ne} = %.1f$' %(dt/3600,nel,(H/nel)**2/(2*dt*ConsolidationCoeff(0))))\n",
+        "        ax[i][j].set_title(r'$\\mathrm{d}t = %i$ h, $n_\\mathrm{el} = %i$, $\\mathrm{Ne} = %.1f$' %(dt/3600,nel,(H/nel)**2/(2*dt*ConsolidationCoeff(0))))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]
@@ -635,7 +635,7 @@
         "        ax[i-2][k].plot(nodes, sols[0]/1.e3, ls = '--', color='black', label=r'$t = %i$ d' %(times[0]/60/60/24))\n",
         "        ax[i-2][k].set_xlabel(r'$z$ / m')\n",
         "        ax[i-2][k].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i-2][k].set_title('%i nodes per element, $\\mathrm{Ne} = %.1f$' %(i,(H/number_of_elements)**2/(2*dt*ConsolidationCoeff(0))))\n",
+        "        ax[i-2][k].set_title(r'%i nodes per element, $\\mathrm{Ne} = %.1f$' %(i,(H/number_of_elements)**2/(2*dt*ConsolidationCoeff(0))))\n",
         "        ax[i-2][k].legend(fontsize=10)\n",
         "    ax[i-2][1].set_xlim(7,10)\n",
         "    ax[i-2][1].set_ylim(bottom=150)\n",

diff --git a/07b_Terzaghi_1D_consolidation_explicit.ipynb b/07b_Terzaghi_1D_consolidation_explicit.ipynb
@@ -521,7 +521,7 @@
       "source": [
         "plt.xlabel(r'$z$ / m')\n",
         "plt.ylabel(r'$p$ / kPa')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(nodes, sols[0]/1.e3, marker='o', label=r'$t = %i$ h' %(times[0]/60/60))\n",
         "plt.plot(nodes, sols[1]/1.e3, marker='o', label=r'$t = %i$ h' %(times[1]/60/60))\n",
         "plt.plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ h' %(times[10]/60/60))\n",
@@ -578,7 +578,7 @@
         "        ax[i][j].plot(nodes, sols[-1]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]

diff --git a/07c_Terzaghi_1D_consolidation_CN.ipynb b/07c_Terzaghi_1D_consolidation_CN.ipynb
@@ -502,7 +502,7 @@
       "source": [
         "plt.xlabel(r'$z$ / m')\n",
         "plt.ylabel(r'$p$ / kPa')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(nodes, sols[0]/1.e3, marker='o', label=r'$t = %i$ h' %(times[0]/60/60))\n",
         "plt.plot(nodes, sols[1]/1.e3, marker='o', label=r'$t = %i$ h' %(times[1]/60/60))\n",
         "plt.plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ h' %(times[10]/60/60))\n",
@@ -556,7 +556,7 @@
         "        ax[i][j].plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]

diff --git a/07d_Terzaghi_1D_consolidation_mass_lumping.ipynb b/07d_Terzaghi_1D_consolidation_mass_lumping.ipynb
@@ -537,7 +537,7 @@
       "source": [
         "plt.xlabel(r'$z$ / m')\n",
         "plt.ylabel(r'$p$ / kPa')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(nodes, sols[0]/1.e3, marker='o', label=r'$t = %i$ d' %(times[0]/60/60))\n",
         "plt.plot(nodes, sols[1]/1.e3, marker='o', label=r'$t = %i$ d' %(times[1]/60/60/24))\n",
         "plt.plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
@@ -633,7 +633,7 @@
         "        #\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]
@@ -718,7 +718,7 @@
         "        #\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].text(1.5,100,'$C_\\mathrm{V} = %.2e$ m/s²' %ConsolidationCoeff(1.5))\n",
         "        ax[i][j].text(6.5,100,'$C_\\mathrm{V} = %.2e$ m/s²' %ConsolidationCoeff(6.5))\n",
         "        ax[i][j].legend(fontsize=10)\n",

diff --git a/07e_Terzaghi_1D_consolidation_mass_lumping_FIC_stabilization.ipynb b/07e_Terzaghi_1D_consolidation_mass_lumping_FIC_stabilization.ipynb
@@ -575,7 +575,7 @@
       "source": [
         "plt.xlabel(r'$z$ / m')\n",
         "plt.ylabel(r'$p$ / kPa')\n",
-        "plt.title('Finite element solution')\n",
+        "plt.title(r'Finite element solution')\n",
         "plt.plot(nodes, sols[0]/1.e3, marker='o', label=r'$t = %i$ d' %(times[0]/60/60))\n",
         "plt.plot(nodes, sols[1]/1.e3, marker='o', label=r'$t = %i$ d' %(times[1]/60/60/24))\n",
         "plt.plot(nodes, sols[10]/1.e3, marker='o', label=r'$t = %i$ d' %(times[10]/60/60/24))\n",
@@ -670,7 +670,7 @@
         "        #\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]
@@ -728,7 +728,7 @@
         "        #\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].legend(fontsize=10)\n",
         "fig.tight_layout()"
       ]
@@ -813,7 +813,7 @@
         "        #\n",
         "        ax[i][j].set_xlabel(r'$z$ / m')\n",
         "        ax[i][j].set_ylabel(r'$p$ / kPa')\n",
-        "        ax[i][j].set_title('dt = %i h, nel = %i' %(dt/3600,nel))\n",
+        "        ax[i][j].set_title(r'dt = %i h, nel = %i' %(dt/3600,nel))\n",
         "        ax[i][j].text(1.5,100,'$C_\\mathrm{V} = %.2e$ m/s²' %ConsolidationCoeff(1.5))\n",
         "        ax[i][j].text(6.5,100,'$C_\\mathrm{V} = %.2e$ m/s²' %ConsolidationCoeff(6.5))\n",
         "        ax[i][j].legend(fontsize=10)\n",

diff --git a/08_coupled_problems.ipynb b/08_coupled_problems.ipynb
@@ -517,7 +517,7 @@
         "    ax[1][0].set_xlabel(r'time step')\n",
         "    ax[1][0].set_ylabel(r'number of iterations')\n",
         "    ax[1][1].legend()\n",
-        "    ax[1][1].set_title('monolithic --; staggered __')\n",
+        "    ax[1][1].set_title(r'monolithic --; staggered __')\n",
         "    plt.show()"
       ]
     },