Author

Ronald Katende

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Jul 2026

Non-Asymptotic Variational Learning for Monotone Nonlinear Multiscale Elliptic Equations: Scale-Robust Primal-Dual Bounds and Strong-Form Statistical Ill-Conditioning

A non-asymptotic approximation, sampling, and finite-iteration optimization theory for variational physics-informed approximation of uniformly monotone nonlinear multiscale elliptic equations and shows that corrector-enriched classes substantially reduce energy and \(H^1\) errors as the microscopic scale is refined.

Ronald Katende · arXiv.org · 0 citations