An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother

DOI10.1016/j.camwa.2022.08.019OpenAlexW4293200768WikidataQ114201413 ScholiaQ114201413MaRDI QIDQ2079751

Janitha Gunatilake

Publication date: 30 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.019

zbMATH Keywords

hierarchical bases\(p\)-multigridspace decomposition\(p\)-version finite elementsmultiplicative Schwarzstrengthened Cauchy Buniakowskii Schwarz inequality

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Uses Software

• PETSc
• ParaView
• GAMBIT

Cites Work

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