High-order Sobolev preconditioning

DOI10.1016/J.NA.2005.02.072zbMath1224.65173OpenAlexW2113900052MaRDI QIDQ999975

Walter B. jun. Ricardson

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.072

zbMATH Keywords

preconditioningdifferential equationsleast squaressteepest descentSobolev gradients

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Preconditioners for iterative methods (65F08)

Related Items (2)

Adjoint state method for time-harmonic scattering problems with boundary perturbations ⋮ New possibilities in image diffusion and sharpening via high-order Sobolev gradient flows

Cites Work

• An iterative method for solving nonlinear partial differential equations
• Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
• Sobolev preconditioning for the Poisson-Boltzmann equation
• Least-squares finite element method and preconditioned conjugate gradient solution
• Sobolev Gradients and the Ginzburg--Landau Functional
• A least-squares approach based on a discrete minus one inner product for first order systems
• Steepest descent using smoothed gradients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: High-order Sobolev preconditioning