The finite element-Galerkin method for singular self-adjoint differential equations
DOI10.1016/j.cam.2008.02.011zbMath1168.65042OpenAlexW2049744651MaRDI QIDQ2378250
Donal O'Regan, Khaled M. Furati, Mohamed A. El-Gebeily
Publication date: 7 January 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.011
algorithmsweak formulationnumerical experimentsfinite element Galerkin methodsingular self-adjoint second-order differential expressions
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
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Cites Work
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- Singular self-adjoint Sturm-Liouville problems
- Spectral theory of ordinary differential operators
- Bounds for eigenvalues of second-order elliptic differential operators
- Asymptotic error estimates for Rayleigh-Ritz-approximations of selfadjoint eigenvalue problems
- M. G. Krein's lectures on entire operators
- Perturbation theory for linear operators.
- Convergence of the Rayleigh-Ritz method for eigenvalue problems.
- The Friedrichs extension of singular differential operators
- Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
- Theoretical Numerical Analysis
- Eigenvalue inclusions via domain decomposition
- The Friedrichs extension of regular ordinary differential operators
- Comparison of Errors in Upper and Lower Bounds to Eigenvalues of Self-Adjoint Eigenvalue Problems
- On the Spectrum of the Orr-Sommerfeld Equation on the Semiaxis
- Real Self-Adjoint Sturm–Liouville Problems
- Spectral pollution
