Algebraic multigrid methods based on element preconditioning

DOI10.1080/00207160108805133zbMath1027.65169OpenAlexW2117562284MaRDI QIDQ2776796

Joachim Schöberl, Ulrich Langer, Gundolf Haase, Stefan Reitzinger

Publication date: 19 June 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805133

zbMATH Keywords

algorithmsnumerical experimentsfinite elementconjugate gradient methodsparse matrixalgebraic multigridsecond order elliptic equationpreconditioning stiffness matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) 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 (4)

Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems ⋮ Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge-matrices and two-level convergence ⋮ SPECIAL SOLUTION STRATEGIES INSIDE A SPECTRAL ELEMENT OCEAN MODEL ⋮ A Hilbert-order multiplication scheme for unstructured sparse matrices

Cites Work

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• The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function. I. Convergence analysis
• Algebraic multigrid theory: The symmetric case
• Towards algebraic multigrid for elliptic problems of second order
• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• The non-overlapping domain decomposition multiplicative schwarz method

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