Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method

DOI10.1007/s00211-021-01228-1zbMath1502.65179OpenAlexW3034194306MaRDI QIDQ2055981

Sophie Puttkammer, Alexandre Ern, Carsten Carstensen

Publication date: 1 December 2021

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

Full work available at URL: https://doi.org/10.1007/s00211-021-01228-1

zbMATH Keywords

eigenvalues of a symmetric compact differential operatorhybrid high-order (HHO) method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalues, singular values, and eigenvectors (15A18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

Stabilization-free HHO a posteriori error control ⋮ Projection-based guaranteed \(L^2\) error bounds for finite element approximations of Laplace eigenfunctions ⋮ Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates

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