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cs.LG2025
Reduced-Basis Deep Operator Learning for Parametric PDEs with Independently Varying Boundary and Source Data
Yueqi Wang, Guang Lin
Parametric PDEs power modern simulation, design, and digital-twin systems, yet their many-query workloads still hinge on repeatedly solving large finite-element systems. Existing o…
math.NA2025
Adaptive Crouzeix-Raviart finite elements for the first eigenpair of -Laplacian
Guanglian Li, Yueqi Wang, Yifeng Xu
In this paper, we propose and analyze an adaptive Crouzeix-Raviart finite element method for computing the first Dirichlet eigenpair of the -Laplacian problem. We prove that the…