The Direct Solution of the Discrete Poisson Equation in $O(N^2 )$ Operations

DOI10.1137/1017042zbMath0314.65049OpenAlexW2022095542MaRDI QIDQ4074331

F. W. Dorr

Publication date: 1975

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1017042

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (7)

On the FACR(l) algorithm for the discrete Poisson equation ⋮ Solving elliptic boundary value problems by double sweep method ⋮ Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations ⋮ Reduktionsverfahren für Differenzengleichungen bei Randwertaufgaben. II ⋮ Direct methods for the solution of the discrete Poisson equation: some comparisons ⋮ Use of fast direct methods for mildly nonlinear elliptic difference equations ⋮ Fast elliptic solvers - an overview

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