A rigorous justification and estimation of the rate of convergence for the partial domain method in two-dimensional eigenvalue problems for the Laplace operator

DOI10.1016/0041-5553(90)90045-TzbMath0739.65088OpenAlexW2004904676MaRDI QIDQ4713217

L. T. Poznyak

Publication date: 25 June 1992

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(90)90045-t

zbMATH Keywords

rate of convergenceLaplace operatorRitz methodeigenvalue problemsdomain decomposition methodWeinstein method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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