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physics.class-ph2009
Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis
Vassilios Dougalis, Dimitrios Mitsotakis, Jean-Claude Saut
We consider a class of Boussinesq systems of Bona-Smith type in two space dimensions approximating surface wave flows modelled by the three-dimensional Euler equations. We show tha…
math.NA2009★ 1 cited
Galerkin Methods for Parabolic and SCHR{Ö}DINGER Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics
D. C. Antonopoulou, V. A. Dougalis, G. E. Zouraris
In this paper we consider Galerkin-finite element methods that approximate the solutions of initial-boundary-value problems in one space dimension for parabolic and Schrödinger evo…