Parallel Poisson and biharmonic solvers

DOI10.1007/BF02259647zbMath0342.65070OpenAlexW105680270MaRDI QIDQ1232167

S. C. Chen, Ahmed H. Sameh, David Kuck

Publication date: 1976

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259647

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for linear higher-order PDEs (35G15) Algorithms in computer science (68W99)

Related Items (10)

A fast Poisson solver ⋮ A parallel perturbed biharmonic solver ⋮ On some parallel algorithms for inverting tridiagonal and pentadiagonal matrices ⋮ Parallel computations in linear algebra. II ⋮ Parallel Poisson and biharmonic solvers ⋮ Parallel direct linear system solvers - a survey ⋮ Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions ⋮ A fast algorithm for solving the first biharmonic boundary value problem ⋮ Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem ⋮ A parallel alternating direction implicit preconditioning method

Cites Work

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• Parallel Poisson and biharmonic solvers
• Solving the biharmonic equation in a square
• Error Analysis of Direct Methods of Matrix Inversion
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• Time and Parallel Processor Bounds for Linear Recurrence Systems
• On Stable Parallel Linear System Solvers
• On Fourier-Toeplitz Methods for Separable Elliptic Problems
• The Kantorovich and Some Related Inequalities
• An Adaptation of the Fast Fourier Transform for Parallel Processing
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• Solving the Biharmonic Equation as Coupled Finite Difference Equations
• On Direct Methods for Solving Poisson’s Equations
• A Fast Poisson Solver Amenable to Parallel Computation

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