Stabilization of algebraic multilevel iteration methods; additive methods

DOI10.1023/A:1019136808500zbMath0937.65135OpenAlexW1668829611MaRDI QIDQ1817774

Owe Axelsson

Publication date: 25 May 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019136808500

zbMATH Keywords

stabilizationfinite elementadaptive methodsparallelizationsecond-order elliptic boundary value problemsalgebraic multilevel iteration methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) Parallel numerical computation (65Y05)

Related Items (11)

Two simple derivations of universal bounds for the CBS inequality constant. ⋮ Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems ⋮ Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems ⋮ Finite-element based sparse approximate inverses for block-factorized preconditioners ⋮ Algebraic multilevel preconditioning in isogeometric analysis: construction and numerical studies ⋮ Multilevel preconditioning of rotated bilinear non-conforming FEM problems ⋮ Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems ⋮ Milestones in the development of iterative solution methods ⋮ Analysis of the CBS Constant for Quadratic Finite Elements ⋮ Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system ⋮ Finite element approximation of multi-scale elliptic problems using patches of elements

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