A parallel perturbed biharmonic solver

DOI10.1016/0898-1221(87)90041-1zbMath0632.65110OpenAlexW1984625186MaRDI QIDQ1095619

Grazia Lotti

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90041-1

zbMATH Keywords

efficiencyparallel computersbiharmonic problembiharmonic solverparallel Gauss algorithmsystems of finite difference equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Parallel Poisson and biharmonic solvers
• The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
• Accelerated Iterative Methods for the Solution of Tridiagonal Systems on Parallel Computers
• On Direct Methods for Solving Poisson’s Equations

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