A note on lower bounds of eigenvalues of fourth order elliptic operators on local quasi-uniform grids

DOI10.1515/CMAM-2016-0008zbMath1338.65239OpenAlexW2561015422MaRDI QIDQ267679

Youai Li

Publication date: 11 April 2016

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0008

zbMATH Keywords

eigenvaluelower boundbiharmonic operatorfourth order elliptic operatorlocal quasi-uniform gridMorley element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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