A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles

DOI10.1016/S0021-9991(03)00342-5zbMath1032.65134OpenAlexW1990898592MaRDI QIDQ1414095

Bernard Bialecki

Publication date: 19 November 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00342-5

zbMATH Keywords

preconditioningfast Fourier transformsconjugate gradient methodbiharmonic Dirichlet problemorthogonal spline collocationfast Schur complement algorithm

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for discrete and fast Fourier transforms (65T50)

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Uses Software

• COLROW
• ARCELO

Cites Work

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