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.
2010
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Diffusion problem
Poisson equation
mimetic finite difference method
polygonal mesh
generalized mesh
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/146251
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact