Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters
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Publication:5118846
DOI10.1090/mcom/3549zbMath1446.35083arXiv2008.04140OpenAlexW2946601727MaRDI QIDQ5118846
Geneviève Dusson, Eric Cancès, Martin Vohralík, Benjamin Stamm, Yvon Maday
Publication date: 27 August 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.04140
Boundary value problems for second-order elliptic equations (35J25) 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 (8)
Practical Error Bounds for Properties in Plane-Wave Electronic Structure Calculations ⋮ Fully computable a posteriori error bounds for eigenfunctions ⋮ Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis ⋮ Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems ⋮ Projection-based guaranteed \(L^2\) error bounds for finite element approximations of Laplace eigenfunctions ⋮ A posteriori error estimates for elliptic eigenvalue problems using auxiliary subspace techniques ⋮ A Posteriori Error Estimates for Adaptive QM/MM Coupling Methods ⋮ An Adaptive Planewave Method for Electronic Structure Calculations
Uses Software
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