Orthogonal collocation solution of biharmonic equations

DOI10.1080/00207169308804233zbMath0810.65108OpenAlexW2017963967MaRDI QIDQ4297209

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Publication date: 24 April 1995

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169308804233

zbMATH Keywords

numerical examplesbiharmonic equationfast Fourier transform algorithmsystem of Poisson equationspiecewise Hermite bicubic orthogonal collocation method

Mathematics Subject Classification ID

Related Items (5)

Nonconforming spline collocation methods in irregular domains II: Error analysis ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Uses Software

• AUTO

Cites Work

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• A fast algorithm for solving the tensor product collocation equations
• Direct solution of the biharmonic equation using noncoupled approach
• An alternating-direction collocation method for finite element approximations on rectangles
• Alternating-direction collocation for rectangular regions
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• Chebyshev pseudospectral method of viscous flows with corner singularities
• Modified integral equation solution of viscous flows near sharp corners
• A collocation method for boundary value problems
• A coupled double splitting ADI scheme for the first biharmonic using collocation
• Solving the biharmonic equation in a square
• The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics
• On Solving Elliptic Equations to Moderate Accuracy
• Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
• Orthogonal Collocation for Elliptic Partial Differential Equations
• Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I
• Collocation at Gaussian Points

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