An efficient numerical method based on Legendre-Galerkin approximation for the Steklov eigenvalue problem in spherical domain

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
Spectral method with the tensor-product nodal basis for the Steklov eigenvalue problem
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Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
A finite element solution of an added mass formulation for coupled fluid-solid vibrations
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Nonconforming finite element approximations of the Steklov eigenvalue problem
A posteriori error estimates for the Steklov eigenvalue problem
A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
Spectral Methods
Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems
Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
On the Convergence of the Fourier Approximation for Eigenvalues and Eigenfunctions of Discontinuous Problems
Isoparametric finite-element approximation of a Steklov eigenvalue problem
Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media
A type of multilevel method for the Steklov eigenvalue problem

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