Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge-Ampère equation.
Michael NeilanPublished in: J. Comput. Appl. Math. (2014)
Keyphrases
- finite element methods
- numerical solution
- difference equations
- finite difference
- partial differential equations
- eikonal equation
- hamilton jacobi
- differential equations
- nonlinear equations
- finite element
- diffusion equation
- fourth order
- numerical methods
- image denoising
- level set
- anisotropic diffusion
- exact solution
- hessian matrix
- image processing
- linear systems
- nonlinear diffusion
- numerical analysis
- image enhancement
- discrete data
- high order
- dynamical systems
- multiscale
- image segmentation