A rapidly convergent method for the inversion of separable, positive, self-adjoint discrete elliptic operators in three or more dimensions

DOI10.1016/0021-9991(87)90096-9zbMath0646.65049OpenAlexW2019651071MaRDI QIDQ1104049

Eric D. Siggia, Alain Pumir

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90096-9

zbMATH Keywords

Poisson equationeigenfunction expansionpositive eigenvaluesinner iterationseparable, positive, self-adjoint discrete elliptic operators

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Applications to the sciences (65Z05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Collapsing solutions to the 3-D Euler equations

Cites Work

• A direct Method for the Discrete Solution of Separable Elliptic Equations
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On Direct Methods for Solving Poisson’s Equations

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