2 papers
math.NA2026
A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces
Jingkai Zhang, Tiexiang Li, Shuo Zhang
This paper develops a natural decomposition method (NDM)for imposing essential boundary conditions in noninterpolatory meshfree Galerkin spaces without boundary parameter tuning or…
math.NA2026
A Unified DeepONet Framework for Logarithmically Stable Infinite-Dimensional Inverse Problems
Wen-Jie Wu, Tiexiang Li, Wen-Wei Lin
We develop a unified DeepONet framework for logarithmically stable inverse problems between infinite-dimensional function spaces, with inverse acoustic scattering as a model applic…