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math.NA2024
Element learning: a systematic approach of accelerating finite element-type methods via machine learning, with applications to radiative transfer
Shukai Du, Samuel N. Stechmann
In this paper, we propose a systematic approach for accelerating finite element-type methods by machine learning for the numerical solution of partial differential equations (PDEs)…
math.NA2024
Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
Ruhui Jin, Qin Li, Anjali Nair +1
Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when…