On Some Theoretical and Practical Aspects of Multigrid Methods

DOI10.2307/2006069zbMath0407.65043OpenAlexW4247438870MaRDI QIDQ4194388

R. A. Nicolaides

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006069

zbMATH Keywords

EfficiencyNumerical ResultsElliptic EquationsFinite Element SystemsMultigrid Algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (12)

RECENT DEVELOPMENT OF IMMERSED FEM FOR ELLIPTIC AND ELASTIC INTERFACE PROBLEMS ⋮ Design and data structure of fully adaptive, multigrid, finite-element software ⋮ Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition ⋮ Multigrid methods: Development of fast solvers ⋮ Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials ⋮ On numerical methods for acoustic problems ⋮ The contraction number of a multigrid method for solving the Poisson equation ⋮ On making large nonlinear problems small ⋮ Two-level hierarchical FEM method for modeling passive microwave devices ⋮ A multigrid method for the transonic full potential equation discretized with finite elements on an arbitrary body fitted mesh ⋮ The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation ⋮ The multigrid method for accelerated solution of the discretized Schrödinger equation

Cites Work

• On multiple grid and related techniques for solving discrete elliptic systems
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On the l 2 Convergence of an Algorithm for Solving Finite Element Equations
• On Multigrid Convergence in the Indefinite Case
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
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