Essential Numerical Range of an Operator with Respect to a Coercive form and the Approximation of Its Spectrum by the Galerkin Method

DOI10.1137/0718077zbMath0523.65040OpenAlexW2085684488MaRDI QIDQ3673954

Jean Descloux

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1137/0718077

zbMATH Keywords

Galerkin methodessential numerical rangecoercive formdomain of spectral convergencespectrum of bounded operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Numerical solutions to equations with linear operators (65J10)

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Essential numerical range and $C$-numerical range for unbounded operators ⋮ Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas ⋮ The essential numerical range for unbounded linear operators ⋮ Generalized Weyl theorems and spectral pollution in the Galerkin method ⋮ Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method ⋮ Sesquilinear version of numerical range and numerical radius

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