A parallel time-space least-squares spectral element solver for incompressible flow problems

DOI10.1016/j.amc.2006.07.009zbMath1108.76052OpenAlexW2132966906MaRDI QIDQ870136

Hugo Atle Jakobsen, Carlos A. Dorao

Publication date: 12 March 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.009

zbMATH Keywords

Navier-Stokes equationsSchur complement method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Parallel numerical computation (65Y05)

Related Items (7)

On the solution of the advection equation and advective dominated reactor models by weighted residual methods ⋮ On multigrid methods for the solution of least-squares finite element models for viscous flows ⋮ High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements ⋮ An efficient solver for space-time isogeometric Galerkin methods for parabolic problems ⋮ Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction ⋮ Spectral solution of the breakage-coalescence population balance equation Picard and Newton iteration methods ⋮ Space–time least–squares isogeometric method and efficient solver for parabolic problems

Uses Software

• GrAL

Cites Work

• Space-time coupled spectral/\(hp\) least-squares finite element formulation for the incompressible Navier-Stokes equations
• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• Nonlinear preconditioned conjugate gradient and least-squares finite elements
• Parallel Schur complement method for large-scale systems on distributed memory computers
• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• A least-squares spectral element formulation for the Stokes problem
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Least-squares spectral element method for non-linear hyperbolic differential equations
• A least-squares finite element method for incompressible Navier-Stokes problems
• High-Order Methods for Incompressible Fluid Flow
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