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Mimetic interpolation
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<p>In mathematics, mimetic interpolation is a method for <a href="/facts/Interpolation/8PyetX4f">interpolating</a> <a href="/facts/Differential_form/T9gyHtMv">differential forms</a>. In contrast to other interpolation methods, which estimate a field at a location given its values on neighboring points, mimetic interpolation estimates the field's k {\displaystyle k} -form given the field's <i>projection</i> on neighboring 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 } . </p><p>Mimetic interpolation is particularly relevant in the context of vector and pseudo-vector fields as the method conserves <a href="/facts/Line_integral/10s4B3Nn">line integrals</a> and fluxes, respectively. </p>