Physics-Informed Neural Networks for the Heat Equation with Source Term under Various Boundary Conditions.
Brett BowmanChad OianJason KurzTaufiquar KhanEddie GilNick GamezPublished in: Algorithms (2023)
Keyphrases
- boundary conditions
- heat equation
- neural network
- gaussian kernel
- diffusion equation
- steady state
- scale spaces
- scale space
- shape from shading
- pattern recognition
- diffusion process
- sufficient conditions
- partial differential equations
- gaussian scale space
- image smoothing
- deformation field
- finite element model
- regularization term
- back propagation
- image analysis
- multiscale
- kernel methods
- high order
- level set
- denoising