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https://github.com/wassname/simpeg.git
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- moved _GLoc to the problem (the problem should know where on the grid all the things live)
- continue hooking up prim-sec source (right now switching between EB - HJ formulations from prim to sec is a bit unstable)
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+57
-15
@@ -8,29 +8,29 @@ from SimPEG.EM.Utils import omega
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class BaseFDEMProblem(BaseEMProblem):
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"""
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We start by looking at Maxwell's equations in the electric
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field \\\(\\\mathbf{e}\\\) and the magnetic flux
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density \\\(\\\mathbf{b}\\\)
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We start by looking at Maxwell's equations in the electric
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field \\\(\\\mathbf{e}\\\) and the magnetic flux
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density \\\(\\\mathbf{b}\\\)
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.. math ::
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.. math ::
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\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\\\
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{\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}
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\mathbf{C} \mathbf{e} + i \omega \mathbf{b} = \mathbf{s_m} \\\\
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{\mathbf{C}^{\\top} \mathbf{M_{\mu^{-1}}^f} \mathbf{b} - \mathbf{M_{\sigma}^e} \mathbf{e} = \mathbf{s_e}}
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if using the E-B formulation (:code:`Problem_e`
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or :code:`Problem_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
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if using the E-B formulation (:code:`Problem_e`
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or :code:`Problem_b`). Note that in this case, :math:`\mathbf{s_e}` is an integrated quantity.
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If we write Maxwell's equations in terms of
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\\\(\\\mathbf{h}\\\) and current density \\\(\\\mathbf{j}\\\)
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If we write Maxwell's equations in terms of
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\\\(\\\mathbf{h}\\\) and current density \\\(\\\mathbf{j}\\\)
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.. math ::
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.. math ::
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\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\\\
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\mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}
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\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + i \omega \mathbf{M_{\mu}^e} \mathbf{h} = \mathbf{s_m} \\\\
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\mathbf{C} \mathbf{h} - \mathbf{j} = \mathbf{s_e}
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if using the H-J formulation (:code:`Problem_j` or :code:`Problem_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
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if using the H-J formulation (:code:`Problem_j` or :code:`Problem_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
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The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
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The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
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"""
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surveyPair = SurveyFDEM
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@@ -204,6 +204,17 @@ class Problem_e(BaseFDEMProblem):
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def __init__(self, mesh, **kwargs):
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BaseFDEMProblem.__init__(self, mesh, **kwargs)
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def _GLoc(self, fieldType):
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if fieldType == 'e':
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return 'E'
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elif fieldType == 'b':
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return 'F'
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elif (fieldType == 'h') or (fieldType == 'j'):
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return 'CCV'
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else:
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raise Exception('Field type must be e, b, h, j')
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def getA(self, freq):
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"""
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System matrix
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@@ -314,6 +325,16 @@ class Problem_b(BaseFDEMProblem):
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def __init__(self, mesh, **kwargs):
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BaseFDEMProblem.__init__(self, mesh, **kwargs)
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def _GLoc(self, fieldType):
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if fieldType == 'e':
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return 'E'
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elif fieldType == 'b':
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return 'F'
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elif (fieldType == 'h') or (fieldType == 'j'):
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return'CCV'
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else:
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raise Exception('Field type must be e, b, h, j')
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def getA(self, freq):
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"""
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System matrix
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@@ -462,6 +483,16 @@ class Problem_j(BaseFDEMProblem):
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def __init__(self, mesh, **kwargs):
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BaseFDEMProblem.__init__(self, mesh, **kwargs)
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def _GLoc(self, fieldType):
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if fieldType == 'h':
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return 'E'
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elif fieldType == 'j':
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return 'F'
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elif (fieldType == 'e') or (fieldType == 'b'):
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return 'CCV'
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else:
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raise Exception('Field type must be e, b, h, j')
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def getA(self, freq):
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"""
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System matrix
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@@ -600,6 +631,17 @@ class Problem_h(BaseFDEMProblem):
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def __init__(self, mesh, **kwargs):
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BaseFDEMProblem.__init__(self, mesh, **kwargs)
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def _GLoc(self, fieldType):
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if fieldType == 'h':
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return 'E'
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elif fieldType == 'j':
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return 'F'
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elif (fieldType == 'e') or (fieldType == 'b'):
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return 'CCV'
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else:
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raise Exception('Field type must be e, b, h, j')
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def getA(self, freq):
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"""
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System matrix
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