A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
type: Item
instance of: scholarly article
title: A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
zbMATH Open document ID: 1032.65134
DOI: 10.1016/S0021-9991(03)00342-5
author: B. Bialecki
published in: Journal of Computational Physics
publication date: 2003-11-19T00:00:00Z
review text: A fast Schur complement algorithm for computing piecewise Hermite bicubic orthogonal spline collocation of the biharmonic Dirichlet problem is presented. On an uniform \(N\times N\) uniform partition, the algorithm which involves the preconditioned conjugate gradient method and fast Fourier transforms, requires \(O(N^2 \log_2 N)\) arithmetic operations.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 2005953
zbMATH Keywords: biharmonic Dirichlet problem
zbMATH Keywords: orthogonal spline collocation
zbMATH Keywords: preconditioning
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: fast Fourier transforms
zbMATH Keywords: fast Schur complement algorithm
reviewed by: Wilhelm Heinrichs
describes a project that uses: COLROW
describes a project that uses: ARCELO
MaRDI profile type: Publication
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full work available at URL: s0021-9991(03)00342-5
OpenAlex ID: W1990898592
description: scientific article; zbMATH DE number 2005953