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finite element methods 1matrix product states 1operator equations 1partial differential equations 1tensor networks 1

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math.NA2026

Tensor-Network Finite Elements for Analytic Operator Equations

Abhijatmedhi Chotrattanapituk, Michael J. Landry, Chu-Liang Fu +1

The paper introduces a framework that combines finite-element discretization with tensor-network representations to solve analytic operator equations, converting nonlinear PDEs int…