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Docs/sphinx_documentation/source/LinearSolvers.rst

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@@ -856,19 +856,19 @@ Curl-Curl
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The curl-curl solver supports solving the linear system arising from the
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discretized form of
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.. math:: \nabla \times (\alpha \nabla \times \mathbf{E}) + \beta \mathbf{E} = \mathbf{f},
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.. math:: \nabla \times (\alpha \nabla \times \vec{E}) + \beta \vec{E} = \vec{f},
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where :math:`\mathbf{E}` and :math:`\mathbf{f}` are defined on grid edges,
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where :math:`\vec{E}` and :math:`\vec{f}` are defined on grid edges,
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:math:`\alpha` is a positive scalar, and :math:`\beta` is a non-negative
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scalar (either a constant or a field). An :cpp:`Array` of three
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:cpp:`MultiFab`\ s is used to store the components of :math:`\mathbf{E}` and
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:math:`\mathbf{f}`. It's the user's responsibility to ensure that the
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:cpp:`MultiFab`\ s is used to store the components of :math:`\vec{E}` and
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:math:`\vec{f}`. It's the user's responsibility to ensure that the
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right-hand-side data are consistent on edges shared by multiple
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:cpp:`Box`\ es. If needed, you can call :cpp:`MLCurlCurl::prepareRHS` to
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perform this synchronization.
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The solver supports 1D, 2D and 3D. Note that even in the 1D and 2D cases,
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:math:`\mathbf{E}` still has three components, one for each spatial
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:math:`\vec{E}` still has three components, one for each spatial
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direction.
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Open Boundary Poisson Solver

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