MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM.
Dong T. P. NguyenDirk NuyensPublished in: Numerische Mathematik (2021)
Keyphrases
- finite element method
- partial differential equations
- higher order
- numerical solution
- anisotropic diffusion
- uniform random
- numerical methods
- boundary value problem
- high order
- diffusion equation
- image denoising
- nonlinear diffusion
- natural images
- finite element
- numerical simulations
- diffusion process
- wavelet coefficients
- level set
- quasi monte carlo
- image processing
- heat equation
- differential equations
- boundary element method
- boundary conditions
- pairwise
- multiscale
- markov random field
- diffuse optical tomography
- image enhancement
- finite difference
- variance reduction
- energy functional
- regression model
- finite element model
- monte carlo
- denoising
- wavelet transform
- np hard
- curve evolution
- subband
- bit rate
- graph cuts
- constraint networks
- state space
- multiresolution