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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 simpli…
math.NA2024
Mittag-Leffler stability of complete monotonicity-preserving schemes for time-dependent coefficients sub-diffusion equations
Wen Dong, Dongling Wang
A key characteristic of the anomalous sub-solution equation is that the solution exhibits algebraic decay rate over long time intervals, which is often refered to the Mittag-Leffle…