Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation
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Publication:4494677
DOI<619::AID-FLD977>3.0.CO;2-N 10.1002/(SICI)1097-0363(20000330)32:6<619::AID-FLD977>3.0.CO;2-NzbMath0981.76066OpenAlexW2017823412MaRDI QIDQ4494677
Publication date: 23 October 2000
Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(20000330)32:6<619::aid-fld977>3.0.co;2-n
conjugate gradient methodsUzawa algorithmfast convergencepre-conditionerpressure systemglobal discrete saddle problemglobal variational formulationincompressible Navier-Stokes/Euler coupled problemspectral element approximation
Spectral methods applied to problems in fluid mechanics (76M22) Viscous-inviscid interaction (76D09)
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Cites Work
- Unnamed Item
- On the rotation and skew-symmetric forms for incompressible flow simulations
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Boundary conditions for incompressible flows
- A relaxation procedure for domain decomposition methods using finite elements
- On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions
- Spectral methods for problems in complex geometries
- Spectral approximation for elliptic boundary value problems
- A self-adaptive formulation for the Euler/Navier-Stokes coupling
- An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
- Comparison of conservative and rotational forms in large eddy simulation of turbulent channel flow
- An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
- Multiple buoyancy-driven flows in a vertical cylinder heated from below
- Some fast 3D finite element solvers for the generalized Stokes problem
- Fast Iterative Solution of Stabilised Stokes Systems. Part I: Using Simple Diagonal Preconditioners
- Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations