http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31375
A higher-order formulation of the mimetic finite difference method (Articolo in rivista)
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- Label
- A higher-order formulation of the mimetic finite difference method (Articolo in rivista) (literal)
- Anno
- 2008-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1137/080717894 (literal)
- Alternative label
Beirao da Veiga L., Manzini G. (2008)
A higher-order formulation of the mimetic finite difference method
in SIAM journal on scientific computing (Print); SIAM Publications, Philadelphia (Stati Uniti d'America)
(literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Beirao da Veiga L., Manzini G. (literal)
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- Scopus (literal)
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Beirao da Veiga L, Dipartimento di Matematica \"F. Enriques,\" Universit`a degli Studi di Milano, via Saldini 50,
I - 20133 Milano, Italy
Manzini G., Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI) - CNR, via Ferrata 1,
I - 27100 Pavia, Italy (literal)
- Titolo
- A higher-order formulation of the mimetic finite difference method (literal)
- Abstract
- A new mimetic finite difference method for the diffusion problem is developed by
using a linear interpolation for the numerical fluxes. This approach provides a higher-order accurate
approximation to the flux of the exact solution. In analogy with the original formulation, a family
of local scalar products is constructed to satisfy the fundamental properties of local consistency
and spectral stability. The scalar solution field is approximated by a piecewise constant function. A
computationally efficient postprocessing technique is also proposed to get a piecewise quadratic polynomial
approximation to the exact scalar variable. Finally, optimal convergence rates and accuracy
improvement with respect to the lower-order formulation are shown by numerical examples. (literal)
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