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Lindsey Heagy
28 lines
890 B
ReStructuredText
28 lines
890 B
ReStructuredText
.. _api_FiniteVolume:
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Finite Volume
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*************
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Any numerical implementation requires the discretization of continuous
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functions into discrete approximations. These approximations are typically
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organized in a mesh, which defines boundaries, locations, and connectivity. Of
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specific interest to geophysical simulations, we require that averaging,
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interpolation and differential operators be defined for any mesh. In SimPEG,
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we have implemented a staggered mimetic finite volume approach (`Hyman and
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Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This
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approach requires the definitions of variables at either cell-centers, nodes,
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faces, or edges as seen in the figure below.
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.. image:: ../../images/finitevolrealestate.png
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:width: 400 px
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:alt: FiniteVolume
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:align: center
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.. toctree::
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:maxdepth: 2
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api_Mesh
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api_DiffOps
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api_InnerProducts
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