The Localized Finite Element Method and Its Application to the Two-Dimensional Sea-Keeping Problem

Marc Lenoir 1 A Tounsi
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We study the various convergence properties of the localized finite element method, which is devoted to the numerical solution of linear problems set in unbounded domains. The problem under consideration is the so-called sea-keeping problem, i.e., the determination of the motion of ships undergoing the action of an incident swell, but in fact the method applies to numerous other problems. Copyright © 1988 Society for Industrial and Applied Mathematics
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Marc Lenoir, A Tounsi. The Localized Finite Element Method and Its Application to the Two-Dimensional Sea-Keeping Problem. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 1988, 25 (4), pp.729-752. ⟨10.1137/0725044⟩. ⟨hal-00974512⟩

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