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synced 2026-07-07 06:56:15 +08:00
Ha. Not a bug, the test was wrong. Must project the components of the field.
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@@ -32,7 +32,7 @@ from OrderTest import OrderTest
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class TestInnerProducts(OrderTest):
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"""Integrate an function over a unit cube domain using edgeInnerProducts and faceInnerProducts."""
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meshTypes = ['uniformTensorMesh', 'uniformLOM']
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meshTypes = ['uniformTensorMesh', 'uniformLOM', 'rotateLOM']
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meshDimension = 3
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meshSizes = [16, 32]
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@@ -64,17 +64,61 @@ class TestInnerProducts(OrderTest):
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analytic = 69881./21600 # Found using matlab symbolic toolbox.
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if self.location == 'edges':
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Ex = call(ex, self.M.gridEx)
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Ey = call(ey, self.M.gridEy)
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Ez = call(ez, self.M.gridEz)
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E = np.matrix(np.r_[Ex, Ey, Ez]).T
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if self.M._meshType == 'TENSOR':
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Ex = call(ex, self.M.gridEx)
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Ey = call(ey, self.M.gridEy)
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Ez = call(ez, self.M.gridEz)
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E = np.matrix(np.r_[Ex, Ey, Ez]).T
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elif self.M._meshType == 'LOM':
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Tx = self.M.r(self.M.tangents, 'E', 'Ex', 'V')
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Ty = self.M.r(self.M.tangents, 'E', 'Ey', 'V')
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Tz = self.M.r(self.M.tangents, 'E', 'Ez', 'V')
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EX_x = call(ex, self.M.gridEx)
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EY_x = call(ey, self.M.gridEx)
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EZ_x = call(ez, self.M.gridEx)
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Ex = np.sum(np.c_[EX_x, EY_x, EZ_x]*np.c_[Tx[0], Tx[1], Tx[2]], 1)
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EX_y = call(ex, self.M.gridEy)
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EY_y = call(ey, self.M.gridEy)
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EZ_y = call(ez, self.M.gridEy)
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Ey = np.sum(np.c_[EX_y, EY_y, EZ_y]*np.c_[Ty[0], Ty[1], Ty[2]], 1)
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EX_z = call(ex, self.M.gridEz)
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EY_z = call(ey, self.M.gridEz)
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EZ_z = call(ez, self.M.gridEz)
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Ez = np.sum(np.c_[EX_z, EY_z, EZ_z]*np.c_[Tz[0], Tz[1], Tz[2]], 1)
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E = np.matrix(np.r_[Ex, Ey, Ez]).T
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A = self.M.getEdgeInnerProduct(sigma)
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numeric = E.T*A*E
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elif self.location == 'faces':
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Fx = call(ex, self.M.gridFx)
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Fy = call(ey, self.M.gridFy)
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Fz = call(ez, self.M.gridFz)
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F = np.matrix(np.r_[Fx, Fy, Fz]).T
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if self.M._meshType == 'TENSOR':
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Fx = call(ex, self.M.gridFx)
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Fy = call(ey, self.M.gridFy)
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Fz = call(ez, self.M.gridFz)
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F = np.matrix(np.r_[Fx, Fy, Fz]).T
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elif self.M._meshType == 'LOM':
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Nx = self.M.r(self.M.normals, 'F', 'Fx', 'V')
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Ny = self.M.r(self.M.normals, 'F', 'Fy', 'V')
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Nz = self.M.r(self.M.normals, 'F', 'Fz', 'V')
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FX_x = call(ex, self.M.gridFx)
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FY_x = call(ey, self.M.gridFx)
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FZ_x = call(ez, self.M.gridFx)
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Fx = np.sum(np.c_[FX_x, FY_x, FZ_x]*np.c_[Nx[0], Nx[1], Nx[2]], 1)
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FX_y = call(ex, self.M.gridFy)
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FY_y = call(ey, self.M.gridFy)
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FZ_y = call(ez, self.M.gridFy)
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Fy = np.sum(np.c_[FX_y, FY_y, FZ_y]*np.c_[Ny[0], Ny[1], Ny[2]], 1)
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FX_z = call(ex, self.M.gridFz)
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FY_z = call(ey, self.M.gridFz)
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FZ_z = call(ez, self.M.gridFz)
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Fz = np.sum(np.c_[FX_z, FY_z, FZ_z]*np.c_[Nz[0], Nz[1], Nz[2]], 1)
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F = np.matrix(np.r_[Fx, Fy, Fz]).T
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A = self.M.getFaceInnerProduct(sigma)
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numeric = F.T*A*F
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@@ -150,15 +194,43 @@ class TestInnerProducts2D(OrderTest):
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analytic = 781427./360 # Found using matlab symbolic toolbox. z=5
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if self.location == 'edges':
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Ex = call(ex, self.M.gridEx)
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Ey = call(ey, self.M.gridEy)
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E = np.matrix(np.r_[Ex, Ey]).T
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if self.M._meshType == 'TENSOR':
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Ex = call(ex, self.M.gridEx)
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Ey = call(ey, self.M.gridEy)
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E = np.matrix(np.r_[Ex, Ey]).T
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elif self.M._meshType == 'LOM':
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Tx = self.M.r(self.M.tangents, 'E', 'Ex', 'V')
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Ty = self.M.r(self.M.tangents, 'E', 'Ey', 'V')
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EX_x = call(ex, self.M.gridEx)
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EY_x = call(ey, self.M.gridEx)
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Ex = np.sum(np.c_[EX_x, EY_x]*np.c_[Tx[0], Tx[1]], 1)
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EX_y = call(ex, self.M.gridEy)
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EY_y = call(ey, self.M.gridEy)
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Ey = np.sum(np.c_[EX_y, EY_y]*np.c_[Ty[0], Ty[1]], 1)
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E = np.matrix(np.r_[Ex, Ey]).T
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A = self.M.getEdgeInnerProduct(sigma)
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numeric = E.T*A*E
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elif self.location == 'faces':
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Fx = call(ex, self.M.gridFx)
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Fy = call(ey, self.M.gridFy)
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F = np.matrix(np.r_[Fx, Fy]).T
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if self.M._meshType == 'TENSOR':
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Fx = call(ex, self.M.gridFx)
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Fy = call(ey, self.M.gridFy)
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F = np.matrix(np.r_[Fx, Fy]).T
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elif self.M._meshType == 'LOM':
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Nx = self.M.r(self.M.normals, 'F', 'Fx', 'V')
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Ny = self.M.r(self.M.normals, 'F', 'Fy', 'V')
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FX_x = call(ex, self.M.gridFx)
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FY_x = call(ey, self.M.gridFx)
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Fx = np.sum(np.c_[FX_x, FY_x]*np.c_[Nx[0], Nx[1]], 1)
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FX_y = call(ex, self.M.gridFy)
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FY_y = call(ey, self.M.gridFy)
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Fy = np.sum(np.c_[FX_y, FY_y]*np.c_[Ny[0], Ny[1]], 1)
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F = np.matrix(np.r_[Fx, Fy]).T
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A = self.M.getFaceInnerProduct(sigma)
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numeric = F.T*A*F
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