Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces

Cite Details

Franco Brezzi, Konstantin Lipnikov and Mikhail Shashkov, "Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces", M3AS: Mathematical Models and Methods in Applied Sciences, vol. 16, pp. 275-297, 2006

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Abstract

New mimetic finite difference discretizations of diffusion problems on unstructured polyhedral meshes with strongly curved (non-planar) faces are developed. The material properties are described by a full tensor. The optimal convergence estimates, the second order for a scalar variable (pressure) and the first order for a vector variable (velocity), are proved.

BibTeX Entry

@article{lipnikov-2006-convergence,

author = {Franco Brezzi and Konstantin Lipnikov and Mikhail Shashkov},

title = {Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces},

year = {2006},

journal = {M3AS: Mathematical Models and Methods in Applied Sciences},

volume = {16},

pages = {275-297}

}