Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients.
Rui HeYanfu ChenZihao YangJizu HuangXiaofei GuanPublished in: Comput. Math. Appl. (2024)
Keyphrases
- partial differential equations
- neural network
- diffusion equation
- anisotropic diffusion
- image smoothing
- numerical solution
- mumford shah model
- image denoising
- image processing
- level set
- nonlinear diffusion
- image enhancement
- differential equations
- numerical methods
- problems in image processing
- fourth order
- numerical algorithms
- numerical scheme
- pattern recognition
- noise removal
- finite difference
- high order
- linear combination
- wavelet coefficients
- basis functions
- diffusion process
- evolution equation
- difference equations
- conservation laws
- boundary value problem
- curve evolution
- mathematical morphology
- wavelet transform
- scale spaces
- energy functional
- pairwise
- image segmentation
- lattice boltzmann
- nonlinear partial differential equations