High-Order Fast Elliptic Equation Solvers

DOI10.1145/355853.355859zbMath0432.65054OpenAlexW2047925487WikidataQ128126511 ScholiaQ128126511MaRDI QIDQ3870250

Theodore S. Papatheodorou, Elias N. Houstis

Publication date: 1979

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/355853.355859

zbMATH Keywords

algorithmfast Fourier transformhigh-order methodscomparisonsfast Poisson solverfast Helmholtz solver

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (14)

Stationary biparametric ADI preconditioners for conjugate gradient methods ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ A sixth order fast direct Helmholtz equation solver ⋮ A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems ⋮ A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells ⋮ A fourth-order kernel-free boundary integral method for the modified Helmholtz equation ⋮ Effect of gravity modulation on the stability of a horizontal double-diffusive layer ⋮ The numerical solution of PDE problems with standard software packages ⋮ The accurate solution of Poisson's equation by expansion in Chebyshev polynomials ⋮ Bibliography on the evaluation of numerical software ⋮ A fourth-order Cartesian grid method for multiple acoustic scattering on closely packed obstacles ⋮ FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions ⋮ A population of linear, second order, elliptic partial differential equations on rectangular domains. I, II ⋮ An adaptive fast solver for the modified Helmholtz equation in two dimensions

This page was built for publication: High-Order Fast Elliptic Equation Solvers