Higher-order finite element analysis of lake circulation

DOI10.1016/0045-7930(73)90014-5zbMath0334.76008OpenAlexW2049279626MaRDI QIDQ1229117

Stevens T. K. Chan, Richard H. Gallagher

Publication date: 1973

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(73)90014-5

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

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A unified treatment of steady-state shallow water and two-dimensional Navier-Stokes equations. Finite element penalty function approach, High order accurate, explicit, difference formulas for the classical wave equation

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Curved, isoparametric, 'quadrilateral' elements for finite element analysis
• High-order polynomial triangular finite elements for potential problems
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