Azure CI commit ref c67d0341f466f257a63e54a06f0c85af28291ca0

simpeg · Oct 27, 2023 · 8bf2b58 · 8bf2b58
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diff --git a/...ads/0943fdbabefb0e8b86d9f5337b49f831/discretize-mixins-InterfaceMPL-plot_grid-1_03_00.pdf b/...ads/0943fdbabefb0e8b86d9f5337b49f831/discretize-mixins-InterfaceMPL-plot_grid-1_03_00.pdf
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@@ -35,7 +35,7 @@
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diff --git a/...oads/0ee1bb1d4effe2b4e23874d50ae20c81/discretize-TensorMesh-face_z_divergence-1_00_00.pdf b/...oads/0ee1bb1d4effe2b4e23874d50ae20c81/discretize-TensorMesh-face_z_divergence-1_00_00.pdf
diff --git a/...247f7d16317679/discretize-operators-DiffOperators-get_edge_inner_product_line-1_01_00.pdf b/...247f7d16317679/discretize-operators-DiffOperators-get_edge_inner_product_line-1_01_00.pdf
diff --git a/...b6611649/discretize-base-BaseRectangularMesh-get_edge_inner_product-1_01_00.png b/...b6611649/discretize-base-BaseRectangularMesh-get_edge_inner_product-1_01_00.png
diff --git a/.../0f4f6bc512b2d2fb7caddc3dccb63c79/discretize-SimplexMesh-get_edge_inner_product_line-1.py b/.../0f4f6bc512b2d2fb7caddc3dccb63c79/discretize-SimplexMesh-get_edge_inner_product_line-1.py
@@ -0,0 +1,44 @@
+# Here we provide an example of edge inner product line matrix.
+# For simplicity, we will work on a 2 x 2 x 2 tensor mesh.
+# As seen below, we begin by constructing and imaging the basic
+# edge inner product line matrix.
+#
+from discretize import TensorMesh
+import matplotlib.pyplot as plt
+import numpy as np
+#
+h = np.ones(2)
+mesh = TensorMesh([h, h, h])
+Me = mesh.get_edge_inner_product_line()
+#
+fig = plt.figure(figsize=(6, 6))
+ax = fig.add_subplot(111)
+ax.imshow(Me.todense())
+ax.set_title('Basic Edge Inner Product Line Matrix', fontsize=18)
+plt.show()
+#
+# Next, we consider the case where the physical properties
+# are defined by diagnostic properties on mesh edges. For the isotropic case,
+# we show the physical property tensor for a single cell.
+#
+# Define the diagnostic property values for x, y and z faces.
+#
+tau_x, tau_y, tau_z = 3, 2, 1
+#
+# Here construct and image the edge inner product line matrix for the isotropic case.
+# Spy plots are used to demonstrate the sparsity of the matrix.
+#
+tau = np.r_[
+    tau_x * np.ones(mesh.n_edges_x),
+    tau_y * np.ones(mesh.n_edges_y),
+    tau_z * np.ones(mesh.n_edges_z)
+]
+M = mesh.get_edge_inner_product_line(tau)
+#
+# Then plot the sparse representation,
+#
+fig = plt.figure(figsize=(4, 4))
+ax1 = fig.add_subplot(111)
+ax1.imshow(M.todense())
+ax1.set_title("M (isotropic)", fontsize=16)
+plt.show()
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diff --git a/...7d0a06e4f4fbadbd347267/discretize-CurvilinearMesh-average_edge_to_cell_vector-1_01_00.pdf b/...7d0a06e4f4fbadbd347267/discretize-CurvilinearMesh-average_edge_to_cell_vector-1_01_00.pdf
diff --git a/...f690941a75517dedcfb/discretize-CylindricalMesh-average_face_to_cell-1_01_00.png b/...f690941a75517dedcfb/discretize-CylindricalMesh-average_face_to_cell-1_01_00.png
diff --git a/...db8b5d553a8/discretize-CurvilinearMesh-get_face_inner_product_deriv-1_00_00.png b/...db8b5d553a8/discretize-CurvilinearMesh-get_face_inner_product_deriv-1_00_00.png
diff --git a/...8682d30fa54c346cb0/discretize-operators-InnerProducts-get_edge_inner_product_surface-1.py b/...8682d30fa54c346cb0/discretize-operators-InnerProducts-get_edge_inner_product_surface-1.py
@@ -0,0 +1,45 @@
+# Here we provide an example of edge inner product surface matrix.
+# For simplicity, we will work on a 2 x 2 x 2 tensor mesh.
+# As seen below, we begin by constructing and imaging the basic
+# edge inner product surface matrix.
+#
+from discretize import TensorMesh
+import matplotlib.pyplot as plt
+import numpy as np
+import matplotlib as mpl
+#
+h = np.ones(2)
+mesh = TensorMesh([h, h, h])
+Me = mesh.get_edge_inner_product_surface()
+#
+fig = plt.figure(figsize=(6, 6))
+ax = fig.add_subplot(111)
+ax.imshow(Me.todense())
+ax.set_title('Basic Edge Inner Product Surface Matrix', fontsize=18)
+plt.show()
+#
+# Next, we consider the case where the physical properties
+# are defined by diagnostic properties on mesh faces. For the isotropic case,
+# we show the physical property tensor for a single cell.
+#
+# Define the diagnostic property values for x, y and z faces.
+#
+tau_x, tau_y, tau_z = 3, 2, 1
+#
+# Here construct and image the edge inner product surface matrix for the isotropic case.
+# Spy plots are used to demonstrate the sparsity of the inner product surface matrices.
+#
+tau = np.r_[
+    tau_x * np.ones(mesh.n_faces_x),
+    tau_y * np.ones(mesh.n_faces_y),
+    tau_z * np.ones(mesh.n_faces_z)
+]
+M = mesh.get_edge_inner_product_surface(tau)
+#
+# Then plot the sparse representation,
+#
+fig = plt.figure(figsize=(4, 4))
+ax1 = fig.add_subplot(111)
+ax1.imshow(M.todense())
+ax1.set_title("M (isotropic)", fontsize=16)
+plt.show()
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diff --git a/...7e3460376fd5594974f18cb0a4/discretize-SimplexMesh-average_cell_vector_to_face-1_01_00.pdf b/...7e3460376fd5594974f18cb0a4/discretize-SimplexMesh-average_cell_vector_to_face-1_01_00.pdf
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diff --git a/...60e43938b46ce37ad9fe65/discretize-TensorMesh-average_face_z_to_cell-1_01_00.png b/...60e43938b46ce37ad9fe65/discretize-TensorMesh-average_face_z_to_cell-1_01_00.png
diff --git a/...05e5f10885665bfb100e7c523ea5b/discretize-TensorMesh-n_edges_per_direction-1.png b/...05e5f10885665bfb100e7c523ea5b/discretize-TensorMesh-n_edges_per_direction-1.png
diff --git a/..._downloads/27919a583c7a5f017ca91c873f43fc03/discretize-base-BaseTensorMesh-faces-1_01.pdf b/..._downloads/27919a583c7a5f017ca91c873f43fc03/discretize-base-BaseTensorMesh-faces-1_01.pdf
diff --git a/...s/27a7da4d1b4ae730754da06bd228f485/discretize-TensorMesh-average_cell_to_edge-1_00_00.pdf b/...s/27a7da4d1b4ae730754da06bd228f485/discretize-TensorMesh-average_cell_to_edge-1_00_00.pdf
diff --git a/...27bd2910402a5be53dd43c937af83085/discretize-TreeMesh-closest_points_index-1.png b/...27bd2910402a5be53dd43c937af83085/discretize-TreeMesh-closest_points_index-1.png
diff --git a/...7db8386ed30f922850f651c265/discretize-mixins-InterfaceMPL-plot_grid-1_02_00.png b/...7db8386ed30f922850f651c265/discretize-mixins-InterfaceMPL-plot_grid-1_02_00.png
diff --git a/...bc4984c24591e21e9d667e88d5/discretize-TreeMesh-get_edge_inner_product_surface-1_01_00.pdf b/...bc4984c24591e21e9d667e88d5/discretize-TreeMesh-get_edge_inner_product_surface-1_01_00.pdf
diff --git a/...s/289f22bb8ca9a92d8a89526c1d898ac2/discretize-TensorMesh-plot_slice-1_00_00.png b/...s/289f22bb8ca9a92d8a89526c1d898ac2/discretize-TensorMesh-plot_slice-1_00_00.png
diff --git a/...bd128cec4ee3bea49928689f2fe8fe/discretize-CylindricalMesh-plot_grid-1_01_00.png b/...bd128cec4ee3bea49928689f2fe8fe/discretize-CylindricalMesh-plot_grid-1_01_00.png
diff --git a/...83960882cfead217aa7a8fd6/discretize-CylindricalMesh-cell_gradient_x-1_00_00.png b/...83960882cfead217aa7a8fd6/discretize-CylindricalMesh-cell_gradient_x-1_00_00.png
diff --git a/en/main/_downloads/28c5b2b1410edccc82765e12515b16c7/discretize-SimplexMesh-1.pdf b/en/main/_downloads/28c5b2b1410edccc82765e12515b16c7/discretize-SimplexMesh-1.pdf
diff --git a/...6ea9517750857e87db7b6f95f/discretize-SimplexMesh-get_edge_inner_product_deriv-1_01_00.pdf b/...6ea9517750857e87db7b6f95f/discretize-SimplexMesh-get_edge_inner_product_deriv-1_01_00.pdf
diff --git a/...f99d65289f2b34/discretize-base-BaseRegularMesh-average_node_to_cell-1_00_00.png b/...f99d65289f2b34/discretize-base-BaseRegularMesh-average_node_to_cell-1_00_00.png
diff --git a/...4094221ebfaebb18132e29b5813/discretize-CurvilinearMesh-average_edge_y_to_cell-1_01_00.pdf b/...4094221ebfaebb18132e29b5813/discretize-CurvilinearMesh-average_edge_y_to_cell-1_01_00.pdf
diff --git a/...0044d69f7b5381c869bc7cc06a0/discretize-CurvilinearMesh-average_face_x_to_cell-1_00_00.pdf b/...0044d69f7b5381c869bc7cc06a0/discretize-CurvilinearMesh-average_face_x_to_cell-1_00_00.pdf
diff --git a/...s/29990ec6f12eb652d454d413c372f2c1/discretize-TensorMesh-get_edge_inner_product_line-1.py b/...s/29990ec6f12eb652d454d413c372f2c1/discretize-TensorMesh-get_edge_inner_product_line-1.py
@@ -0,0 +1,44 @@
+# Here we provide an example of edge inner product line matrix.
+# For simplicity, we will work on a 2 x 2 x 2 tensor mesh.
+# As seen below, we begin by constructing and imaging the basic
+# edge inner product line matrix.
+#
+from discretize import TensorMesh
+import matplotlib.pyplot as plt
+import numpy as np
+#
+h = np.ones(2)
+mesh = TensorMesh([h, h, h])
+Me = mesh.get_edge_inner_product_line()
+#
+fig = plt.figure(figsize=(6, 6))
+ax = fig.add_subplot(111)
+ax.imshow(Me.todense())
+ax.set_title('Basic Edge Inner Product Line Matrix', fontsize=18)
+plt.show()
+#
+# Next, we consider the case where the physical properties
+# are defined by diagnostic properties on mesh edges. For the isotropic case,
+# we show the physical property tensor for a single cell.
+#
+# Define the diagnostic property values for x, y and z faces.
+#
+tau_x, tau_y, tau_z = 3, 2, 1
+#
+# Here construct and image the edge inner product line matrix for the isotropic case.
+# Spy plots are used to demonstrate the sparsity of the matrix.
+#
+tau = np.r_[
+    tau_x * np.ones(mesh.n_edges_x),
+    tau_y * np.ones(mesh.n_edges_y),
+    tau_z * np.ones(mesh.n_edges_z)
+]
+M = mesh.get_edge_inner_product_line(tau)
+#
+# Then plot the sparse representation,
+#
+fig = plt.figure(figsize=(4, 4))
+ax1 = fig.add_subplot(111)
+ax1.imshow(M.todense())
+ax1.set_title("M (isotropic)", fontsize=16)
+plt.show()
diff --git a/...nloads/29aa21f6439c738858eed6f859ee2e1e/discretize-CylindricalMesh-plot_slice-1_01_00.pdf b/...nloads/29aa21f6439c738858eed6f859ee2e1e/discretize-CylindricalMesh-plot_slice-1_01_00.pdf
diff --git a/...0bcbd6eb948/discretize-operators-DiffOperators-average_node_to_cell-1_00_00.png b/...0bcbd6eb948/discretize-operators-DiffOperators-average_node_to_cell-1_00_00.png
diff --git a/...s/2a1d38f8c87ae132f9ec3ad78f8ba7df/discretize-CurvilinearMesh-cell_gradient_z-1_00_00.pdf b/...s/2a1d38f8c87ae132f9ec3ad78f8ba7df/discretize-CurvilinearMesh-cell_gradient_z-1_00_00.pdf
diff --git a/...0ebd2e4c7/discretize-operators-DiffOperators-average_edge_x_to_cell-1_00_00.png b/...0ebd2e4c7/discretize-operators-DiffOperators-average_edge_x_to_cell-1_00_00.png
diff --git a/...539a19c0abeca3987d606/discretize-TensorMesh-stencil_cell_gradient_x-1_00_00.png b/...539a19c0abeca3987d606/discretize-TensorMesh-stencil_cell_gradient_x-1_00_00.png
diff --git a/...ede4f0e4ee7c6c67d/discretize-base-BaseTensorMesh-get_edge_inner_product_deriv-1_00_00.pdf b/...ede4f0e4ee7c6c67d/discretize-base-BaseTensorMesh-get_edge_inner_product_deriv-1_00_00.pdf
diff --git a/...78352b0e469dd5/discretize-base-BaseMesh-average_cell_vector_to_face-1_01_00.png b/...78352b0e469dd5/discretize-base-BaseMesh-average_cell_vector_to_face-1_01_00.png
diff --git a/...a9ae74eff28d17ea892c2c215/discretize-CurvilinearMesh-get_interpolation_matrix-1_01_00.pdf b/...a9ae74eff28d17ea892c2c215/discretize-CurvilinearMesh-get_interpolation_matrix-1_01_00.pdf
diff --git a/...54ad88f0afc6e867fc5468e97e903/discretize-CylindricalMesh-average_node_to_face-1_00_00.pdf b/...54ad88f0afc6e867fc5468e97e903/discretize-CylindricalMesh-average_node_to_face-1_00_00.pdf
diff --git a/...5068d515faab21fd75ef86a4/discretize-base-BaseMesh-get_edge_inner_product_line-1_01_00.pdf b/...5068d515faab21fd75ef86a4/discretize-base-BaseMesh-get_edge_inner_product_line-1_01_00.pdf
diff --git a/...1855a2426d341773fa8540bc09/discretize-operators-InnerProducts-face_divergence-1_00_00.pdf b/...1855a2426d341773fa8540bc09/discretize-operators-InnerProducts-face_divergence-1_00_00.pdf
diff --git a/...d6302c772fe76d/discretize-base-BaseRegularMesh-average_cell_to_edge-1_00_00.png b/...d6302c772fe76d/discretize-base-BaseRegularMesh-average_cell_to_edge-1_00_00.png
diff --git a/...f0d9cb25fca9898adbff32ffedeb7/discretize-TreeMesh-get_edge_inner_product_line-1_00_00.pdf b/...f0d9cb25fca9898adbff32ffedeb7/discretize-TreeMesh-get_edge_inner_product_line-1_00_00.pdf
diff --git a/...e4f6b93db2b1eb019ac/discretize-CylindricalMesh-average_cell_to_face-1_00_00.png b/...e4f6b93db2b1eb019ac/discretize-CylindricalMesh-average_cell_to_face-1_00_00.png
diff --git a/...ds/2c1405b8d22af0ea01544eb7d2187831/discretize-mixins-InterfaceMPL-plot_image-1_01_00.pdf b/...ds/2c1405b8d22af0ea01544eb7d2187831/discretize-mixins-InterfaceMPL-plot_image-1_01_00.pdf
diff --git a/...e4fa9ae4dec3f829869d9/discretize-base-BaseMesh-average_edge_to_face-1_00_00.png b/...e4fa9ae4dec3f829869d9/discretize-base-BaseMesh-average_edge_to_face-1_00_00.png
diff --git a/...35215a8b91a432d8b65f65339b5/discretize-CylindricalMesh-average_edge_y_to_cell-1_01_00.pdf b/...35215a8b91a432d8b65f65339b5/discretize-CylindricalMesh-average_edge_y_to_cell-1_01_00.pdf
diff --git a/...dcd065404/discretize-operators-InnerProducts-get_face_inner_product-1_02_00.png b/...dcd065404/discretize-operators-InnerProducts-get_face_inner_product-1_02_00.png
diff --git a/...3458001a5aef59b1e151a5d614/discretize-operators-DiffOperators-cell_gradient_z-1_00_00.pdf b/...3458001a5aef59b1e151a5d614/discretize-operators-DiffOperators-cell_gradient_z-1_00_00.pdf
diff --git a/en/main/_downloads/2ce55a88d79ed07e42c747f4a1e82c03/3_nodal_dirichlet_poisson.ipynb b/en/main/_downloads/2ce55a88d79ed07e42c747f4a1e82c03/3_nodal_dirichlet_poisson.ipynb
@@ -107,7 +107,7 @@
       "name": "python",
       "nbconvert_exporter": "python",
       "pygments_lexer": "ipython3",
-      "version": "3.10.11"
+      "version": "3.10.13"
     }
   },
   "nbformat": 4,

diff --git a/...69fc7ec14b3bc1/discretize-base-BaseRegularMesh-average_node_to_edge-1_00_00.png b/...69fc7ec14b3bc1/discretize-base-BaseRegularMesh-average_node_to_edge-1_00_00.png
diff --git a/...6b2917ef6f3718c050bd8d1/discretize-base-BaseRegularMesh-stencil_cell_gradient-1_00_00.pdf b/...6b2917ef6f3718c050bd8d1/discretize-base-BaseRegularMesh-stencil_cell_gradient-1_00_00.pdf
diff --git a/...690fac62e1a97879f23d9bb733f/discretize-CurvilinearMesh-average_face_z_to_cell-1_00_00.pdf b/...690fac62e1a97879f23d9bb733f/discretize-CurvilinearMesh-average_face_z_to_cell-1_00_00.pdf
diff --git a/...0dd63a4d49e1/discretize-CylindricalMesh-get_edge_inner_product_line-1_01_00.png b/...0dd63a4d49e1/discretize-CylindricalMesh-get_edge_inner_product_line-1_01_00.png
diff --git a/...170d84d3661f6435e98c1b32f54b9/discretize-CylindricalMesh-average_node_to_cell-1_00_00.pdf b/...170d84d3661f6435e98c1b32f54b9/discretize-CylindricalMesh-average_node_to_cell-1_00_00.pdf
diff --git a/...a21a997c7eaeb0b13/discretize-TensorMesh-average_edge_to_cell_vector-1_00_00.png b/...a21a997c7eaeb0b13/discretize-TensorMesh-average_edge_to_cell_vector-1_00_00.png
diff --git a/...bd47b1db21a7763fe2/discretize-base-BaseRectangularMesh-get_edge_inner_product-1_00_00.pdf b/...bd47b1db21a7763fe2/discretize-base-BaseRectangularMesh-get_edge_inner_product-1_00_00.pdf
diff --git a/...f00813536fd0d2/discretize-base-BaseRegularMesh-average_node_to_face-1_00_00.png b/...f00813536fd0d2/discretize-base-BaseRegularMesh-average_node_to_face-1_00_00.png
diff --git a/...619dd44e2580e12ed39bb826c3896/discretize-TensorMesh-cell_gradient_y-1_01_00.png b/...619dd44e2580e12ed39bb826c3896/discretize-TensorMesh-cell_gradient_y-1_01_00.png
diff --git a/...ads/2df370105257f1a2b7aadf9b1e1c62b9/discretize-TreeMesh-get_edge_inner_product_line-1.py b/...ads/2df370105257f1a2b7aadf9b1e1c62b9/discretize-TreeMesh-get_edge_inner_product_line-1.py
@@ -0,0 +1,44 @@
+# Here we provide an example of edge inner product line matrix.
+# For simplicity, we will work on a 2 x 2 x 2 tensor mesh.
+# As seen below, we begin by constructing and imaging the basic
+# edge inner product line matrix.
+#
+from discretize import TensorMesh
+import matplotlib.pyplot as plt
+import numpy as np
+#
+h = np.ones(2)
+mesh = TensorMesh([h, h, h])
+Me = mesh.get_edge_inner_product_line()
+#
+fig = plt.figure(figsize=(6, 6))
+ax = fig.add_subplot(111)
+ax.imshow(Me.todense())
+ax.set_title('Basic Edge Inner Product Line Matrix', fontsize=18)
+plt.show()
+#
+# Next, we consider the case where the physical properties
+# are defined by diagnostic properties on mesh edges. For the isotropic case,
+# we show the physical property tensor for a single cell.
+#
+# Define the diagnostic property values for x, y and z faces.
+#
+tau_x, tau_y, tau_z = 3, 2, 1
+#
+# Here construct and image the edge inner product line matrix for the isotropic case.
+# Spy plots are used to demonstrate the sparsity of the matrix.
+#
+tau = np.r_[
+    tau_x * np.ones(mesh.n_edges_x),
+    tau_y * np.ones(mesh.n_edges_y),
+    tau_z * np.ones(mesh.n_edges_z)
+]
+M = mesh.get_edge_inner_product_line(tau)
+#
+# Then plot the sparse representation,
+#
+fig = plt.figure(figsize=(4, 4))
+ax1 = fig.add_subplot(111)
+ax1.imshow(M.todense())
+ax1.set_title("M (isotropic)", fontsize=16)
+plt.show()
diff --git a/...b74a/discretize-operators-DiffOperators-average_edge_to_cell_vector-1_01_00.png b/...b74a/discretize-operators-DiffOperators-average_edge_to_cell_vector-1_01_00.png
diff --git a/en/main/_downloads/2e0f820b08f2b22bb795ce4e2f4cf4c9/discretize-SimplexMesh-edges-1_01.pdf b/en/main/_downloads/2e0f820b08f2b22bb795ce4e2f4cf4c9/discretize-SimplexMesh-edges-1_01.pdf