A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue

DOI10.1186/S13660-016-1158-1zbMath1347.65180OpenAlexW2515233406WikidataQ59466451 ScholiaQ59466451MaRDI QIDQ313560

Hai Bi, Jing An, Zhen-Dong Luo

Publication date: 12 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1158-1

zbMATH Keywords

error estimatestensor productfourth-order Steklov equation with boundary eigenvaluespectral-Galerkin method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues ⋮ Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem ⋮ Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem ⋮ A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems ⋮ An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Spectral method with the tensor-product nodal basis for the Steklov eigenvalue problem
• Extrapolation and superconvergence of the 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
• On positivity for the biharmonic operator under Steklov boundary conditions
• Nonconforming finite element approximations of the Steklov eigenvalue problem
• A posteriori error estimates for the Steklov eigenvalue problem
• Spectral Methods
• Spectral Approximation for Compact Operators
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media
• A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

This page was built for publication: A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue