A fast solver for the first biharmonic boundary value problem

DOI10.1007/BF01385863zbMath0762.65055MaRDI QIDQ1195918

Dieter Bahlmann, Ulrich Langer

Publication date: 2 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133683

zbMATH Keywords

fast Fourier transformsfast storage saving methodfirst biharmonic boundary value problemfive point finite difference schemevector-processors

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical algorithms for specific classes of architectures (65Y10)

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Cites Work

• A multilevel algorithm for the biharmonic problem
• Numerical study of a dual iterative method for solving a finite element approximation of the biharmonic equation
• An iterative solver for a mixed variable variational formulation of the (first) biharmonic problem
• Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• On the Numerical Solution of the Biharmonic Equation and the Role of Squaring Matrices for Preconditioning
• Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles
• An Algorithm for the Machine Calculation of Complex Fourier Series
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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