A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds

DOI10.1137/18M1212276zbMath1475.65178OpenAlexW3000529065WikidataQ126386488 ScholiaQ126386488MaRDI QIDQ5210539

Carsten Carstensen, Ran Zhang, Qi Long Zhai

Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1212276

zbMATH Keywords

finite element methodeigenvalue boundsweak Galerkin

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian ⋮ A weak Galerkin finite element method can compute both upper and lower eigenvalue bounds ⋮ Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates ⋮ Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method ⋮ Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems

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