Arbitrary Order Mixed Mimetic Finite Differences Method with Nodal Degrees of Freedom

Technical Report · Thu Sep 01 00:00:00 EDT 2016

DOI:https://doi.org/10.2172/1321697· OSTI ID:1321697

Iaroshenko, Oleksandr ^[1]; Gyrya, Vitaliy ^[1]; Manzini, Gianmarco ^[1]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this work we consider a modification to an arbitrary order mixed mimetic finite difference method (MFD) for a diffusion equation on general polygonal meshes [1]. The modification is based on moving some degrees of freedom (DoF) for a flux variable from edges to vertices. We showed that for a non-degenerate element this transformation is locally equivalent, i.e. there is a one-to-one map between the new and the old DoF. Globally, on the other hand, this transformation leads to a reduction of the total number of degrees of freedom (by up to 40%) and additional continuity of the discrete flux.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1321697
• Report Number(s): LA-UR-16-26696
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
Mathematics
mimetic finite difference
mixed diffusion