Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers

DOI10.1137/18M1194997zbMath1436.65025OpenAlexW2982610918WikidataQ126858937 ScholiaQ126858937MaRDI QIDQ5241240

Pedro D. Bello-Maldonado, Paul F. Fischer

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1194997

zbMATH Keywords

finite element methodspectral element methodalgebraic multigridpreconditionerhigh-orderlow-order

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (7)

A Scalable and Robust Vertex-Star Relaxation for High-Order FEM ⋮ Low-Order Preconditioning for the High-Order Finite Element de Rham Complex ⋮ High-order matrix-free incompressible flow solvers with GPU acceleration and low-order refined preconditioners ⋮ Efficient Low-Order Refined Preconditioners for High-Order Matrix-Free Continuous and Discontinuous Galerkin Methods ⋮ A characteristic-based spectral element method for moving-domain problems ⋮ Spectral Equivalence of Low-Order Discretizations for High-Order H(curl) and H(div) Spaces ⋮ Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces

Uses Software

• hypre
• Nek5000
• GitHub

Cites Work

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