3 papers
math.NA2026
Physics-Informed Neural Networks with Attention Feature Expansion for Monge-Ampère Equations
Anxiao Yu, Bangmin Wu, Zhengbang Zha +2
The Monge-Ampère equation is a fundamental fully nonlinear elliptic partial differential equation that finds extensive applications across multiple disciplines. This study propose…
math.NA2026
Factorization and monotonicity methods for reconstructing impenetrable obstacles in inverse biharmonic scattering
Tielei Zhu, Zhihao Ge, Bangmin Wu
The inverse scattering problem for biharmonic waves, governing flexural vibrations of elastic plates, presents fundamental analytical challenges distinct from acoustic inverse prob…
math.NA2026
A Finite Element Method for Elliptic Hemivariational Inequalities in Non-isotropic and Heterogeneous Semipermeable Media
Ban Li, Bangmin Wu
This work investigates finite element approximations for a general class of elliptic hemivariational inequalities arising in semipermeable media. The proposed model incorporates no…