An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem

DOI10.1016/j.apnum.2016.02.003zbMath1382.65372arXiv1601.01429OpenAlexW2223411817MaRDI QIDQ278780

Yidu Yang, Hai Bi, Hao Li

Publication date: 2 May 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01429

zbMATH Keywords

finite elementadaptive algorithma posteriori error estimateSteklov eigenvalue problemmulti-scale discretization

Mathematics Subject Classification ID

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 (10)

An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications ⋮ A type of multigrid method based on the fixed-shift inverse iteration for the Steklov eigenvalue problem ⋮ A multilevel Newton's method for the Steklov eigenvalue problem ⋮ The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering ⋮ An asymptotically exact a posteriori error estimator for non-selfadjoint Steklov eigenvalue problem ⋮ The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems ⋮ Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems

Uses Software

• iFEM

Cites Work

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