High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities.
Robert C. KirbyDaniel ShaperoPublished in: Numerische Mathematik (2024)
Keyphrases
- high order
- partial differential equations
- finite element
- variational inequalities
- lipschitz continuity
- finite difference
- convex sets
- numerical solution
- sensitivity analysis
- boundary value problem
- boundary element
- anisotropic diffusion
- higher order
- fourth order
- upper bound
- energy functional
- finite element method
- primal dual
- lower bound
- numerical methods
- pairwise
- fixed point
- image processing
- differential equations
- image denoising
- worst case
- markov random field
- nash equilibrium
- diffusion equation
- low rank
- approximation algorithms
- boundary conditions
- finite number
- finite element model
- multiresolution
- image enhancement
- denoising
- objective function
- state space
- scale spaces
- level set
- super resolution
- curve evolution
- dynamical systems
- game theory
- convex optimization