A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes

DOI10.1137/20M1382519zbMath1492.65295OpenAlexW4224252154MaRDI QIDQ5094224

Shuai Jiang, Mark Ainsworth

Publication date: 2 August 2022

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

Full work available at URL: https://doi.org/10.1137/20m1382519

zbMATH Keywords

Schur complementhigh order finite elementstensor product elementspreconditioning mass matrix

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)

Uses Software

• Firedrake

Cites Work

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• Firedrake
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• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Spectral/hp Element Methods for Computational Fluid Dynamics
• Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra

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