Kernel‐based reconstruction methods are applied to obtain highly accurate approximations
of local vector fields from normal components assigned at the edges of a computational
mesh. The theoretical background of kernel‐based reconstructions for vector‐valued
functions is first reviewed, before the reconstruction method is adapted to the specific
requirements of relevant applications in computational fluid dynamics. To this end, important
computational aspects concerning the design of the reconstruction scheme like the selection …

Kernel-based reconstruction methods are applied to obtain highly accurate approximations
of local vector fields from normal components assigned at the edges of a computational
mesh. The theoretical background of kernel-based reconstructions for vector-valued
functions is first reviewed, before the reconstruction method is adapted to the specific
requirements of relevant applications in computational fluid dynamics. To this end, important
computational aspects concerning the design of the reconstruction scheme, such as the …