Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs.
Ani MiraçiDirk PraetoriusJulian StreitbergerPublished in: CoRR (2024)
Keyphrases
- worst case
- piecewise linear
- linear systems
- optimal linear
- nonlinear optimization
- gauss seidel
- closed form
- partial differential equations
- parameter tuning
- nonlinear models
- nonlinear optimization problems
- transfer function
- image processing
- simple linear
- linear complexity
- optimal parameters
- least mean square
- convergence rate
- image denoising
- operator splitting
- single parameter
- semi infinite programming
- optimal solution
- linear model
- denoising
- computational complexity
- initial conditions
- adaptive filtering
- nonlinear functions
- finite difference
- nonlinear diffusion
- finite element method
- numerical solution
- closed form solutions
- convergence speed
- nonlinear regression
- numerical simulations
- kalman filter