Fourier analysis of Schwarz alternating methods for piecewise Hermite bicubic orthogonal spline collocation

DOI10.1007/BF01990539zbMath0792.65021MaRDI QIDQ1317865

Bernard Bialecki, D. Scott Dillery

Publication date: 31 July 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemnumerical experimentsFourier analysisPoisson's equationorthogonal spline collocationpiecewise Hermite bicubicsSchwarz alternating methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Orthogonal spline collocation methods for partial differential equations

Cites Work

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• A $C^1 $ Finite Element Collocation Method for Elliptic Equations
• The Schwarz Algorithm for Spectral Methods
• The convergence rate of the schwarz alternating procedure (II)—for two-dimensional problems
• The convergence rate of the schwarz alternating procedure (v)—for more than two subdomains
• Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations