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In mathematics, mimetic interpolation is a method for interpolating differential forms. In contrast to other interpolation methods, which estimate a field at a location given its values on neighbouring points, mimetic interpolation estimates the k {\displaystyle k} -form given the field's projection on neighbouring grid elements. The grid elements can be grid points as well as cell edges or faces, depending on k = 0 , 1 , 2 , ⋯ {\displaystyle k=0,1,2,\cdots }.
Mimetic interpolation is particularly relevant in the context of vector and pseudo-vector fields as the method conserves line integrals and fluxes, respectively.
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