Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem
DOI10.1134/S1995080219110179OpenAlexW2989723623MaRDI QIDQ2304608
P. S. Solov'ev, D. M. Korosteleva, Sergei I. Solov'ev
Publication date: 12 March 2020
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080219110179
eigenvaluefinite element methodordinary differential equationnonlinear eigenvalue problempositive eigenfunction
Sturm-Liouville theory (34B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvibrations of a beam with elastically attached load
- An integral method for solving nonlinear eigenvalue problems
- Nonlinear Rayleigh functionals
- Approximation of differential eigenvalue problems with a nonlinear dependence on the parameter
- A successive quadratic approximations method for nonlinear eigenvalue problems
- Approximation of variational eigenvalue problems
- Approximation of positive semidefinite spectral problems
- Error investigation of a finite element approximation for a nonlinear Sturm-Liouville problem
- Approximation of nonlinear spectral problems in a Hilbert space
- A block Newton method for nonlinear eigenvalue problems
- Eigenvibrations of a beam with load
- Quadrature finite element method for elliptic eigenvalue problems
- Approximation of sign-indefinite spectral problems
- Error of the Bubnov-Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter
- Superconvergence of finite element approximations to eigenspaces
- A fast direct method of solving Hermitian fourth-order finite-element schemes for the Poisson equation
- Fast direct methods of solving finite-element grid schemes with bicubic elements for the Poisson equation
- Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem
- Finite element approximation with numerical integration for differential eigenvalue problems
- Eigenvibrations of a bar with elastically attached load
- Numerical study of stability and nonlinear eigenvalue problems
- Preconditioned iterative methods for a class of nonlinear eigenvalue problems
- A study of variable step iterative methods for variational inequalities of the second kind
- Approximation of differential eigenvalue problems
- Solving acoustic nonlinear eigenvalue problems with a contour integral method
- The Quadratic Eigenvalue Problem
- Nonlinear Rank-One Modification of the Symmetric Eigenvalue Problem
- NLEVP
- Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes
- Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
- The bisection method for symmetrie eigenvalue problems with a parameter entering nonlinearly
- Algorithms for the Nonlinear Eigenvalue Problem
- Investigation of a spectral problem for the Helmholtz operator in the plane
This page was built for publication: Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem