Guaranteed two-sided bounds on all eigenvalues of preconditioned diffusion and elasticity problems solved by the finite element method.

DOI10.21136/AM.2020.0217-19MaRDI QIDQ2662447

Martin Ladecký, Ivana Pultarová, Zeman, J.

Publication date: 13 April 2021

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03673

zbMATH Keywords

preconditioningelliptic differential equationbound on eigenvalues

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)

Related Items (4)

Elimination of ringing artifacts by finite-element projection in FFT-based homogenization ⋮ Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning ⋮ A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators ⋮ An optimal preconditioned FFT-accelerated finite element solver for homogenization

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