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math.NA2026
An adaptive localized orthogonal decomposition method for Helmholtz problems
Yuwen Li, Chuxin Que
We develop an adaptive localized orthogonal decomposition (ALOD) method for Helmholtz problems with parametrized loads. Under standard resolution, oversampling, and discrete-stabil…
math.NA2026
Localized pointwise a posteriori error estimates for nonconforming finite element methods
Yongxing Guo, Yuwen Li
This paper establishes the first localized pointwise a posteriori error estimates for nonconforming finite element discretizations of the Poisson and biharmonic equations. For the…