Multi-Grid Algorithms with Applications to Elliptic Boundary Value Problems

DOI10.1137/0721017zbMath0534.65062OpenAlexW2026541804MaRDI QIDQ3318036

Craig C. Douglas

Publication date: 1984

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/77f0945003aab23ffcd0222af4301864189cccd5

zbMATH Keywords

convergencefinite elementssmoothing iterationsmultigrid methods

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) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (13)

CACHING IN WITH MULTIGRID ALGORITHMS: PROBLEMS IN TWO DIMENSIONS ⋮ The analysis of PMHSS-multigrid methods for elliptic problems with smooth complex coefficients ⋮ Simulating self-gravitating hydrodynamic flows ⋮ A multigrid method for kernel functions acting on interacting structures with applications to biofluids ⋮ Higher-order schemes for the Laplace transformation method for parabolic problems ⋮ Convergence analysis of HSS-multigrid methods for second-order nonselfadjoint elliptic problems ⋮ The multilevel principle applied to sorting ⋮ A tupleware approach to domain decomposition methods ⋮ Nonnested multigrid methods for linear problems ⋮ Performance of a Petrov-Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations ⋮ Finite element model updating for structural applications ⋮ Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems ⋮ On multilevel iterative methods for integral equations of the second kind and related problems

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