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math.NA2025
A fourth-order multi-scale computational method and its convergence analysis for composite Kirchhoff plates with microscopic periodic configurations
Hao Dong, Liqun Cao
The Kirchhoff plate model plays a vital role in modeling, computing and analyzing the mechanical behaviors of thin plate structures. This study propose a novel fourth-order multi-s…
math.NA2025
Smoothing Newton Methods for Evolving Piecewise Smooth Systems Arising from Parabolic PDEs with Hysteresis
Shu Xu, Liqun Cao
Implicit discretizations of parabolic partial differential equations with hysteresis pose significant challenges for the design of robust nonlinear solvers due to the underlying hi…