Quadrature finite element method for elliptic eigenvalue problems

DOI10.1134/S1995080217050341zbMath1379.65086OpenAlexW2755193708MaRDI QIDQ1682808

Sergei I. Solov'ev

Publication date: 6 December 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217050341

zbMATH Keywords

error estimatesnumerical integrationfinite element methodeigenvalue problemquadrature formulaeigenfunctioncurved finite elementsecond-order self-adjoint elliptic differential operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Approximation of the problem on eigenvibrations of a string with attached load ⋮ Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem ⋮ Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem ⋮ Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter ⋮ Approximation of positive semidefinite nonlinear eigenvalue problems

Uses Software

• NLEVP

Cites Work

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