Robust error estimates of PINN in one-dimensional boundary value problems for linear elliptic equations.
Jihahm YooHaesung LeePublished in: CoRR (2024)
Keyphrases
- boundary value problem
- differential equations
- error estimates
- boundary conditions
- numerical solution
- fixed point theorem
- partial differential equations
- poisson equation
- variational inequalities
- error estimation
- finite element method
- differential operators
- cross validation
- sufficient conditions
- linear systems
- provably correct
- error analysis
- shape from shading