We analyse a family of nodal mimetic finite difference methods for the discretisation of diffusion problems on unstructured polygonal meshes. The discretisation is based on nodal grid functions defined at the mesh vertices as in finite difference methods and satisfy a consistency and stability condition at the element level. We derive the condition under which a particular mimetic method can be recast in the finite element framework.
A finite element re-formulation of the nodal mimetic finite difference method for elliptic problems on polygonal and polyhedral meshes
G Manzini;A Russo
2010
Abstract
We analyse a family of nodal mimetic finite difference methods for the discretisation of diffusion problems on unstructured polygonal meshes. The discretisation is based on nodal grid functions defined at the mesh vertices as in finite difference methods and satisfy a consistency and stability condition at the element level. We derive the condition under which a particular mimetic method can be recast in the finite element framework.File in questo prodotto:
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