Adaptive nonconforming finite element approximation of eigenvalue clusters

DOI10.1515/cmam-2014-0020zbMath1304.65203OpenAlexW2032883788MaRDI QIDQ481901

Dietmar Gallistl

Publication date: 18 December 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/adaptive-nonconforming-finite-element-approximation-of-eigenvalue-clusters(c4b530e0-7619-443c-b17c-84160bee4bcf).html

zbMATH Keywords

eigenvalue problemoptimalityStokes operatoradaptive finite element methodeigenvalue cluster

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (6)

Guaranteed lower bounds for eigenvalues of elliptic operators ⋮ An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods ⋮ Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters ⋮ Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method ⋮ Stable splitting of polyharmonic operators by generalized Stokes systems

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