Guaranteed lower eigenvalue bounds for the biharmonic equation

DOI10.1007/s00211-013-0559-zzbMath1298.65165OpenAlexW2019685695MaRDI QIDQ2436536

Dietmar Gallistl, Carsten Carstensen

Publication date: 25 February 2014

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-013-0559-z

zbMATH Keywords

biharmonic equation error estimate counterexample numerical experiment lower eigenvalue bounds plate vibration biharminic operator buckling of plates nonconforming Morley finite element analysis

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30)

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