Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local $L^2$ Projected $C^0$ Finite Element Method

DOI10.1137/100812136zbMath1281.65141OpenAlexW2011724566MaRDI QIDQ2845608

Roger C. E. Tan, Ping Lin, Huo-Yuan Duan

Publication date: 2 September 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100812136

zbMATH Keywords

convergence error estimates eigenfunctions singular solution finite-element method Fortin-type interpolation spectral correct approximation vectorial second-order elliptic eigenproblem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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