Complexity bounds on supermesh construction for quasi-uniform meshes

M. Croci; P. E. Farrell

doi:10.1016/j.jcp.2020.109459

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arXiv · 1911.11589

Complexity bounds on supermesh construction for quasi-uniform meshes

M. Croci·P. E. Farrell

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Abstract

Projecting fields between different meshes commonly arises in computational physics. This operation requires a supermesh construction and its computational cost is proportional to the number of cells of the supermesh $n$. Given any two quasi-uniform meshes of $n_A$ and $n_B$ cells respectively, we show under standard assumptions that n is proportional to $n_A + n_B$. This result substantially improves on the best currently available upper bound on $n$ and is fundamental for the analysis of algorithms that use supermeshes.

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M. Croci, P. E. Farrell. 2019-11-26. Complexity bounds on supermesh construction for quasi-uniform meshes. https://doi.org/10.1016/j.jcp.2020.109459

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