This paper is concerned with the construction of a discrete conservative operator on a mesh, knowing a conservative operator on a different mesh. We analyse the possibility of defining such a transfer based on the preservation of conservation properties and provide practical procedures, which can be effectively implemented for schemes that work on staggered grids. We show that such a transfer can be applied to obtain a discrete balance equation on a mesh starting from a discrete balance equation on a different mesh, and to prove local discrete duality relations for standard discrete operators defined on staggered grids.

中文翻译：

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交错网格之间保守离散微分算子的转移：构造和对偶关系

本文关注网格上离散保守算子的构造，知道不同网格上的保守算子。我们分析了基于保存属性定义这种转移的可能性，并提供了实用的程序，这些程序可以有效地用于在交错网格上工作的方案。我们表明，这种转移可以用于从不同网格上的离散平衡方程开始获得网格上的离散平衡方程，并证明在交错网格上定义的标准离散算子的局部离散对偶关系。