A semi-group theoretical analysis of a finite element method for a linearized viscous shallow-water system

DOI10.2977/prims/1195182031zbMath0565.76030OpenAlexW2067936326MaRDI QIDQ1058911

Teruo Ushijima

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182031

zbMATH Keywords

error estimatesapproximation theory for semi-groups of linear operatorsfinite element step-by-step time integration schemelinear viscous shallow-water systemStrong convergence

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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A tsunami simulation of Hakata Bay using the viscous shallow-water equations, The linearized 2D inviscid shallow water equations in a rectangle: boundary conditions and well-posedness, A semigroup proof for the well-posedness of the linearised shallow water equations

Cites Work

• Approximation of semi-groups of operators
• On the finite element method for parabolic equations. I: Approximation of homomorphic semi-groups
• Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
• On finite element methods for convection dominated phenomena
• Curved Elements in the Finite Element Method. I
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