Modified nodal cubic spline collocation for biharmonic equations

DOI10.1007/s11075-007-9064-8zbMath1117.65158OpenAlexW1966953392MaRDI QIDQ877270

Bernard Bialecki, Abeer Ali Abushama

Publication date: 19 April 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9064-8

zbMATH Keywords

numerical examplesfast Fourier transformcubic splinespreconditioned conjugate gradient methodmixed formulationbiharmonic Dirichlet problemnodal collocation

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) Error bounds for boundary value problems involving PDEs (65N15) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (7)

Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable ⋮ Optimal superconvergent one step quadratic spline collocation methods ⋮ A fourth order finite difference method for the Dirichlet biharmonic problem ⋮ Compact optimal quadratic spline collocation methods for the Helmholtz equation ⋮ A quadratic spline collocation method for the Dirichlet biharmonic problem ⋮ An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem

Cites Work

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• Modified Nodal Cubic Spline Collocation For Poisson's Equation
• On the numerical solution of the first biharmonic equation
• Multilevel Schwarz Methods for the Biharmonic Dirichlet Problem
• A highly accurate numerical solution of a biharmonic equation
• Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
• Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles
• Solving the Biharmonic Equation as Coupled Finite Difference Equations

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