A variational approximation method for 2nd order elliptic eigenvalue problems in a composite structure with nonstandard boundary conditions

DOI10.1007/BF02684329zbMath0887.35008OpenAlexW2090047793MaRDI QIDQ1377262

Roger van Keer, Hennie De Schepper

Publication date: 5 May 1998

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684329

zbMATH Keywords

interfacesconsistent mass finite element approximationsdiscontinuous transition conditionsnonlocal boundary conditions of Robin type

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods for second-order elliptic equations (35J20) Numerical integration (65D30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature formulas
• External finite-element approximations of eigenfunctions in the case of multiple eigenvalues
• An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures
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