Gaussian process surrogate with physical law-corrected prior for multi-coupled PDEs defined on irregular geometry

ArXi:2509.02617v2 Announce Type: replace-cross Parametric partial differential equations (PDEs) serve as fundamental mathematical tools for modeling complex physical phenomena, yet repeated high-fidelity numerical simulations across parameter spaces remain computationally prohibitive. In this work, we propose a physical law-corrected prior Gaussian process (LC-prior GP) for efficient surrogate modeling of parametric PDEs.