A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation.
DOI10.1016/S0096-3003(03)00201-7zbMath1035.65152OpenAlexW2040469211MaRDI QIDQ1412484
Publication date: 25 November 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00201-7
convergencedomain decompositionfinite elementerror estimateNavier-Stokes equationSchwarz methodsmall Reynolds numbersnonlinear biharmonic equationHsieh-Clough-Tocher element
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analysis of a mixed finite element method for the Navier-Stokes equations
- On the nonlinear domain decomposition method
- On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
- On Schwarz Alternating Methods for the Incompressible Navier--Stokes Equations
- Global and uniform convergence of subspace correction methods for some convex optimization problems
- On the boundary value problem of the biharmonic operator on domains with angular corners
- Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
- On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
- Nonlinearly Preconditioned Inexact Newton Algorithms
- Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements
- Two-Level Schwarz Methods for the Biharmonic Problem Discretized Conforming $C^1 $ Elements
This page was built for publication: A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation.
