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math.NA2026
Consistent CutPINNs for Convection-Diffusion Equations on Curved Level-Set Domains
Maneesh Kumar Singh
We present an a priori error analysis of consistent-loss PINNs for stationary convection-diffusion equations on curved level-set domains. The standard mean-squared interior loss fa…
math.NA2026
Consistent CutPINNs for Elliptic PDEs on Curved Level-Set Domains
Maneesh Kumar Singh
We propose \emph{Consistent CutPINN}, a framework for partial differential equations posed on bounded curved domains defined implicitly by a $\C^2$ level-set function, $Ω= \{Ï< 0…