A multiscale finite element method for partial differential equations posed in domains with rough boundaries.
Alexandre L. MadureiraPublished in: Math. Comput. (2009)
Keyphrases
- partial differential equations
- finite element method
- numerical solution
- multiscale
- numerical methods
- finite difference method
- image processing
- anisotropic diffusion
- image denoising
- boundary value problem
- level set
- finite element
- finite difference
- differential equations
- scale space
- numerical simulations
- image enhancement
- high order
- energy functional
- natural images
- wavelet transform
- mathematical morphology
- fourth order
- diffuse optical tomography
- numerical algorithms
- diffusion equation
- nonlinear partial differential equations
- edge detection
- image compression
- curve evolution
- object boundaries
- heat equation
- boundary element method
- wavelet coefficients
- boundary conditions