A sixth order fast direct Helmholtz equation solver

DOI10.1016/0378-4754(80)90002-6zbMath0435.65083OpenAlexW2071411115MaRDI QIDQ1140415

Theodore S. Papatheodorou, Robert E. Lynch, Elias N. Houstis

Publication date: 1980

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(80)90002-6

zbMATH Keywords

reduction proceduresixth orderfast Fourier methodHelmholtz equation solver

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Uses Software

• FFT9

Cites Work

• Unnamed Item
• Inversion of Lewis' Poisson operator
• High-Order Fast Elliptic Equation Solvers
• Algorithm 543: FFT9, Fast Solution of Helmholtz-Type Partial Differential Equations [D3]
• High order methods for elliptic partial differential equations with singularities
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• On Direct Methods for Solving Poisson’s Equations
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations

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