Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM

DOI10.1016/j.cam.2007.04.044zbMath1145.65101OpenAlexW2107960394MaRDI QIDQ930720

Pavel Šolín, Tomáv s Vejchodský

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.044

zbMATH Keywords

convergencefinite element methodPoisson equationnumerical experimentbilinear form\(hp\)-FEMstatic condensationlinear elliptic problemsILU preconditioningbubble basic functionslocal Schur complementsorthogonal shape functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Partial Differential Equations and the Finite Element Method
• Spectral/hp Element Methods for Computational Fluid Dynamics
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