Dual-grid-based tree/cotree decomposition of higher-order interpolatory H (∇∧, Ω) basis

DOI10.1002/nme.2818zbMath1193.65197OpenAlexW2066916924MaRDI QIDQ3586898

Mook-Seng Leong, Davood Ansari Oghol Beig

Publication date: 1 September 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2818

zbMATH Keywords

finite element method (FEM)null-space\(H(\nabla \wedge, \Omega )/\)curl-conforming basisdual/primal graphhigh-order interpolatory vector basisKrylov solver(s)spurious/non-physical solutionstree/cotree (TC)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Uses Software

• Trilinos

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Mixed finite elements in \(\mathbb{R}^3\)
• An overview of the Trilinos project
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