An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem
DOI10.1515/math-2022-0032zbMath1496.65205OpenAlexW4292787272MaRDI QIDQ2084183
Hui Zhang, Jun Zhang, Zixin Liu
Publication date: 18 October 2022
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2022-0032
error estimationweighted Sobolev spacefinite element approximationdimension reduction schemefourth-order Steklov eigenvalue problem
Error bounds for boundary value problems involving PDEs (65N15) 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) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Cites Work
- Unnamed Item
- Unnamed Item
- A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue
- The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
- The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds
- Positivity preserving property for a class of biharmonic elliptic problems
- On positivity for the biharmonic operator under Steklov boundary conditions
- Positivity for polyharmonic problems on domains close to a disk
- On the first eigenvalue of a fourth order Steklov problem
- A finite element solution of an added mass formulation for coupled fluid-solid vibrations
- An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries
- Spectral Methods
- On a fourth order Steklov eigenvalue problem
- On the Convergence of the Fourier Approximation for Eigenvalues and Eigenfunctions of Discontinuous Problems
- Remarks on a Stekloff Eigenvalue Problem
This page was built for publication: An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem
