A trial solution for imposing boundary conditions of partial differential equations in physics-informed neural networks.
Seyedalborz ManaviEhsan FattahiThomas BeckerPublished in: Eng. Appl. Artif. Intell. (2024)
Keyphrases
- boundary value problem
- boundary conditions
- partial differential equations
- neural network
- numerical solution
- numerical algorithms
- diffusion equation
- reaction diffusion
- poisson equation
- differential equations
- image denoising
- shape from shading
- numerical methods
- anisotropic diffusion
- pattern recognition
- multiscale
- variational inequalities
- level set
- fourth order
- finite element model
- mathematical morphology
- high quality
- finite element method
- image enhancement
- image processing
- sufficient conditions
- spline interpolation
- boundary element
- lattice boltzmann
- numerical scheme
- curve evolution
- higher order
- computational complexity
- computer vision