Adaptive Solution to Two-Dimensional Partial Differential Equations in Curved Domains Using the Monge-Ampére Equation.
Kelsey L. DiPietroAlan E. LindsayPublished in: SIAM J. Sci. Comput. (2019)
Keyphrases
- partial differential equations
- numerical methods
- boundary value problem
- numerical solution
- hamilton jacobi
- numerical algorithms
- integral equation
- eikonal equation
- finite difference
- differential equations
- level set
- fourth order
- image processing
- anisotropic diffusion
- heat equation
- image denoising
- difference equations
- problems in image processing
- energy functional
- numerical scheme
- image enhancement
- boundary conditions
- exact solution
- mathematical morphology
- numerical integration
- finite difference method
- euler lagrange equations
- finite element method
- optimal solution
- multiscale