Finite element analysis for the eigenvalue problem of the linear water wave in a water region with a reentrant corner

DOI10.1007/BF03167319zbMath0928.76058OpenAlexW2067897266MaRDI QIDQ1275846

Daisuke Koyama, Teruo Ushijima, Katsuhiko Tanimoto

Publication date: 13 January 1999

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

Full work available at URL: https://doi.org/10.1007/bf03167319

zbMATH Keywords

error estimatesconvergence accelerationcorner singularitynonlocal boundary condition

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition ⋮ Error estimates of the DtN finite element method for the exterior Helmholtz problem ⋮ Finite element analysis for the eigenvalue problem of the linear water wave in a water region with a reentrant corner

Cites Work

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• Numerical solution for exterior problems
• Computational aspect of linear water wave problem
• Finite element analysis for the eigenvalue problem of the linear water wave in a water region with a reentrant corner
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Curved Elements in the Finite Element Method. I

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