Convergence rate estimates for iterative solutions of the biharmonic equation

DOI10.1016/0377-0427(88)90348-2zbMath0675.65104OpenAlexW2026532228MaRDI QIDQ1122340

Richard S. Varga, Garry H. Rodrigue

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90348-2

zbMATH Keywords

spectral radiusbiharmonic equationconvergence ratefinite-difference schemesoverrelaxationiteration matrices

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Factored sparse approximate inverse of block tridiagonal and block pentadiagonal matrices ⋮ A Semismooth Newton Multigrid Method for Constrained Elliptic Optimal Control Problems ⋮ Fourier analysis of iterative schemes for solving the biharmonic equation ⋮ A hybrid triangulation method for banded linear systems

Cites Work

• Estimation of the Relaxation Factor for Small Mesh Size
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