Multi-p Preconditioners

DOI10.1137/S1064827595279368zbMath0926.65046OpenAlexW2062932012MaRDI QIDQ4376250

Ning Hu, Xian-Zhong Guo, I. Norman Katz

Publication date: 10 February 1998

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

Full work available at URL: https://doi.org/10.1137/s1064827595279368

zbMATH Keywords

comparison of methodsnumerical examplesconjugate gradient methodmultigrid method\(p\)-version of the finite element methodmulti-\(p\) preconditioner

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) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (6)

Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes ⋮ Algebraic multigrid for higher-order finite elements ⋮ Performance enhancement of the multi-\(p\) preconditioner ⋮ Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements ⋮ A parallel multi-\(p\) method ⋮ An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother

Uses Software

• ITPACK

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