Finite element interpolation error bounds with applications to eigenvalue problems
DOI10.1007/BF00944591zbMath0514.65003MaRDI QIDQ1051385
Publication date: 1983
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Mathieu equationeigenvalue problemsoptimal constantsRayleigh-Ritzfinite element interpolation error bounds
Numerical interpolation (65D05) Spline approximation (41A15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Best constants in approximation theory (41A44)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Methods for lower bounds to frequencies of continuous elastic systems
- Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
- Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions
- Computable Finite Element Error Bounds for Poisson's Equation
- A Comparison of Finite Element Error Bounds for Poisson's Equation
- Error Estimates for the Solution of the Radial Schrödinger Equation by the Rayleigh—Ritz Finite Element Method
- Higher Order Convergence Results for the Rayleigh–Ritz Method Applied to Eigenvalue Problems. I: Estimates Relating Rayleigh–Ritz and Galerkin Approximations to Eigenfunctions
- $L^2 $ Error Bounds for the Rayleigh–Ritz–Galerkin Method
- Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials
- Error Bounds for Polynomial Spline Interpolation
This page was built for publication: Finite element interpolation error bounds with applications to eigenvalue problems