A multilevel correction scheme for the Steklov eigenvalue problem

DOI10.1155/2015/791298zbMath1394.65140OpenAlexW1564406396WikidataQ59119892 ScholiaQ59119892MaRDI QIDQ1666588

Hai Bi, Qichao Zhao, Yidu Yang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/791298

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Uses Software

• iFEM

Cites Work

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• Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
• A multigrid method for Helmholtz transmission eigenvalue problems
• Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems
• 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
• An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
• A multigrid method for eigenvalue problem
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• A finite element solution of an added mass formulation for coupled fluid-solid vibrations
• A multilevel correction method for convection-diffusion eigenvalue problems
• Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem
• A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
• A posteriori error estimates for the Steklov eigenvalue problem
• Acceleration of a two-grid method for eigenvalue problems
• The extended/generalized finite element method: An overview of the method and its applications
• Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
• Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems
• A type of multilevel method for the Steklov eigenvalue problem
• A multi-level correction scheme for eigenvalue problems

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