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math.NA2026
Geometry-aware LegONet for PDE Learning on Arbitrary Domains
Jiahao Zhang, Yueqi Wang, Guang Lin
Learned PDE solvers often entangle governing operators with the geometry, boundary conditions, and discretization used for training. This limits reuse when the same physics is pose…
math.NA2026
Generative Prior-Guided Neural Interface Reconstruction for 3D Electrical Impedance Tomography
Haibo Liu, Junqing Chen, Guang Lin
Reconstructing complex 3D interfaces from indirect measurements remains a grand challenge in scientific computing, particularly for ill-posed inverse problems like Electrical Imped…
math.NA2026
LegONet: Plug-and-Play Structure-Preserving Neural Operator Blocks for Compositional PDE Learning
Jiahao Zhang, Yueqi Wang, Guang Lin
Learned PDE solvers are often trained as monolithic surrogates for a specific equation, boundary condition and discretization. This makes them difficult to reuse when mechanisms ch…