2 papers
math.NA2026
BTF-PINN: Enforcing Dirichlet Boundary Conditions Without Boundary Training
Wenyu Dong, Shuo Zhang
The homogeneous Dirichlet boundary value problem captures the core difficulty of solving Dirichlet problems with non-interpolatory methods. We propose BTF-PINN (Boundary-Training-F…
math.NA2026
Primal finite element scheme of the Hodge-Laplace problem
Wenyu Dong, Shuo Zhang
In this paper, we construct nonconforming finite element spaces for the approximation of on si…