A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime.
Erik BurmanMihai NechitaLauri OksanenPublished in: Numerische Mathematik (2020)
Keyphrases
- diffusion equation
- inverse problems
- finite element method
- partial differential equations
- numerical solution
- numerical methods
- boundary conditions
- anisotropic diffusion
- diffusion processes
- image denoising
- image processing
- nonlinear diffusion
- heat transfer
- level set
- diffusion process
- scale spaces
- image reconstruction
- multiscale
- image enhancement
- finite element
- numerical simulations
- differential equations
- energy functional
- noise removal
- denoising
- scale space
- global optimization
- high order
- optimization methods
- high quality
- optimization problems
- noisy images
- wavelet transform
- pattern recognition
- finite element model
- single image
- genetic algorithm