Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems

DOI10.1016/j.cam.2010.05.039zbMath1198.65192OpenAlexW2035370078MaRDI QIDQ1959464

Petia Boyanova, Maya G. Neytcheva, Svetozar Margenov

Publication date: 7 October 2010

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.2010.05.039

zbMATH Keywords

linear systemsnumerical examplespreconditioningfinite elementmultigrid methodselliptic problemsparabolic problemsiterative solutiontriangular meshesdomain decomposition techniquesalgebraic multiLevel iteration methodsCrouzeix-Raviart non-conforming elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Uses Software

• HSL

Cites Work

• Asymptotic work estimates for AMLI methods
• Robust algebraic multilevel methods and algorithms.
• Algebraic multilevel preconditioning methods. I
• Multilevel preconditioners for elliptic problems by substructuring
• The Schur complement and its applications
• Stabilization of algebraic multilevel iteration methods; additive methods
• Algebraic Multilevel Preconditioning Methods, II
• On the multilevel preconditioning of Crouzeix–Raviart elliptic problems
• Robust optimal multilevel preconditioners for non‐conforming finite element systems
• The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
• On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
• Iterative Solution Methods
• Algebraic multilevel iteration method for Stieltjes matrices
• An algebraic preconditioning method for M‐matrices: linear versus non‐linear multilevel iteration
• Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems

This page was built for publication: Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems