A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems
DOI10.3934/dcdsb.2022066zbMath1501.65142OpenAlexW4225818284MaRDI QIDQ2083284
Jiantao Jiang, Jing An, Jian-Wei Zhou
Publication date: 10 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022066
error estimationspectral methodpolar geometrydimension reduction schemefourth order Steklov problems
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral theory and eigenvalue problems for partial differential equations (35P99) 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)
Related Items (1)
Cites Work
- Unnamed Item
- An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem
- A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue
- Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
- Conforming finite element approximations for a fourth-order Steklov eigenvalue problem
- A two-grid discretization scheme for the Steklov eigenvalue problem
- A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem
- The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization
- 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-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains
- Nonconforming finite element approximations of the Steklov eigenvalue problem
- A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
- Spectral Methods
- On a fourth order Steklov eigenvalue problem
- Spectral Galerkin approximation and rigorous error analysis for the Steklov eigenvalue problem in circular domain
- Isoparametric finite-element approximation of a Steklov eigenvalue problem
- A full multigrid method for the Steklov eigenvalue problem
- Local defect-correction method based on multilevel discretization for Steklov eigenvalue problem
- A type of multilevel method for the Steklov eigenvalue problem
- Remarks on a Stekloff Eigenvalue Problem
- An efficient spectral method and rigorous error analysis based on dimension reduction scheme for fourth order problems
This page was built for publication: A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems