Domain decomposition interface preconditioners for fourth-order elliptic problems

DOI10.1016/0168-9274(91)90072-8zbMath0755.65121OpenAlexW2024362124WikidataQ57397430 ScholiaQ57397430MaRDI QIDQ1181534

E. Weinan, Tony F. Chan, Jiachang Sun

Publication date: 27 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90072-8

zbMATH Keywords

numerical examplesSchur complementdomain decompositionbiharmonic equationcondition numbersinterface preconditioners

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution, Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems., Extension theorems for plate elements with applications, Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique

Cites Work

• A capacitance matrix method for Dirichlet problem on polygon region
• Analysis of Preconditioners for Domain Decomposition
• A Comparison of Domain Decomposition Techniques for Elliptic Partial Differential Equations and their Parallel Implementation
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles
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