Physics-informed, boundary-constrained Gaussian process regression for the reconstruction of fluid flow fields
arXiv:2507.17582v3 Announce Type: replace-cross Abstract: Gaussian process regression techniques have been used in fluid mechanics for the reconstruction of flow fields from a reduction-of-dimension perspective. A main ingredient in this setting is the construction of adapted covariance functions, or kernels, to obtain such estimates. In this paper, we present a general method for constraining a prescribed Gaussian process on an arbitrary compact set. The kernel of the pre-defined process must be at least continuous and may include other […]