Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems

DOI10.1016/j.cam.2022.114900zbMath1503.65282OpenAlexW4306811582MaRDI QIDQ2104079

Önder Türk, Eylem Bahadır

Publication date: 9 December 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114900

zbMATH Keywords

finite element methodSteklov eigenvalue problemsboundary variationsHadamard-type formulas

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extremal eigenvalue problem for the Wentzell-Laplace operator
• The method of fundamental solutions applied to boundary eigenvalue problems
• Hadamard's formula inside and out
• Laplace eigenvalues on regular polygons: a series in \(1/N\)
• A discontinuous Steklov problem with an application to water waves
• Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
• Earth surface effects on active faults: An eigenvalue asymptotic analysis
• Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
• Numerical studies of the Steklov eigenvalue problem via conformal mappings
• An improved two-grid finite element method for the Steklov eigenvalue problem
• A virtual element method for the Steklov eigenvalue problem allowing small edges
• The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering
• A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem
• Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method
• A DRBEM approximation of the Steklov eigenvalue problem
• On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems
• The Steklov eigenvalue problem in a cuspidal domain
• Spectral geometry of the Steklov problem (survey article)
• A posteriori error estimates for the Steklov eigenvalue problem
• Finite element approximation of eigenvalue problems
• A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
• On Vibrating Thin Membranes with Mass Concentrated Near the Boundary: An Asymptotic Analysis
• Finite element computation of sloshing modes in containers with elastic baffle plates
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• A priori and a posteriori error estimates for a virtual element method for the non-self-adjoint Steklov eigenvalue problem
• Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem
• An HDG method for the Steklov eigenvalue problem
• A virtual element method for the Steklov eigenvalue problem
• Introduction to Tensor Analysis and the Calculus of Moving Surfaces
• The effect of reduced integration in the Steklov eigenvalue problem
• Computational Methods for Extremal Steklov Problems
• On the two-dimensional sloshing problem

This page was built for publication: Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems