Multigrid Methods Chapman & Hall/CRC Research Notes in Mathematics Series
Langue : Anglais
Auteur : Bramble James H
Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
1. Introduction to Iterative Methods 2. Model problems and Sobolev spaces 3. Abstract Multilevel Algorithms 4. Multigrid Algorithms with Nonnested Spaces and Varying Forms 5. Construction of Classes of Smoothers 6. Application to Second Order Elliptic Problems 7. Perturbation of Forms 8. Pseudodifferential operators of order minus one 9. Application to fourth order problems 10. Implementation, work estimates and full multigrid
Professional
Bramble, James H
Date de parution : 12-2019
17.4x24.6 cm
Thème de Multigrid Methods :
Mots-clés :
Full Multigrid; large scale scientific calculations; Continuous Piecewise Polynomials; efficient iterative methods; Convex Polygonal Domain; multigrid algorithms; Pseudodifferential Operators; Continuous Piecewise Linear Functions; Continuous Piecewise; Multigrid Algorithm; Multigrid Method; Usual Sobolev Space; Polygonal Domain; Riesz Representation Theorem; Rayleigh Quotient; Finite Element Spaces; Convex Polygon; Piecewise Linear Functions; Finite Element Approximation; Galerkin Approximation; Maximum Row Sum; Term Recurrence Relation; Schur Complement Equation; Fourth Order Problems; Reference Quadrature; Rough Coefficients; Piecewise Linear Interpolant; Computational Basis
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