Multilevel preconditioners for elliptic problems by substructuring

DOI10.1016/0096-3003(91)90018-IzbMath0739.65095MaRDI QIDQ1180598

Panayot S. Vassilevski

Publication date: 27 June 1992

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

zbMATH Keywords

condition numberelliptic problemblock Gaussian eliminationalgebraic multilevel preconditionerSchur problems

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) Numerical computation of matrix norms, conditioning, scaling (65F35) Complexity and performance of numerical algorithms (65Y20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems

Cites Work

• A finite element - capacitance method for elliptic problems on regions partitioned into subregions
• On the multi-level splitting of finite element spaces
• Algebraic multilevel preconditioning methods. I
• A capacitance matrix method for Dirichlet problem on polygon region
• Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas
• The Construction of Preconditioners for Elliptic Problems by Substructuring, III
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• The Construction of Preconditioners for Elliptic Problems by Substructuring. II
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
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