A preconditioned domain decomposition algorithm for the solution of the elliptic Neumann problem

DOI10.1007/BF02330875zbMath0762.65068OpenAlexW2032586275MaRDI QIDQ1203442

B. Kiss, Gy. Molnárka

Publication date: 8 February 1993

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02330875

zbMATH Keywords

finite element methodparallel computationpreconditioneriterative solutioncyclic matrixpreconditioned domain decomposition algorithmsecond order elliptic Neumann problem

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

A circulant preconditioner for domain decomposition algorithm for the solution of the elliptic problems ⋮ Scientific applications of iterative Toeplitz solvers

Cites Work

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• A finite element - capacitance method for elliptic problems on regions partitioned into subregions
• 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
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I

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