Local modelling of sea surface topography from (geostrophic) ocean flow

Fehlinger, T.; Freeden, W.; Gramsch, S.; Mayer, C.; Michel, D.; Schreiner, M.. 2007 Local modelling of sea surface topography from (geostrophic) ocean flow. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik, 87 (11-12). 775-791. 10.1002/zamm.200710351

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Calculating locally without boundary correction would lead to errors near the boundary. To avoid these Gibbs phenomenona we additionally consider the boundary integral of the corresponding region on the sphere which occurs in the integral formula of the solution. For reasons of simplicity we discuss a spherical cap first, that means we consider a continuously differentiable (regular) boundary curve. In a second step we concentrate on a more complicated domain with a non continuously differentiable boundary curve, namely a rectangular region. It will turn out that the boundary integral provides a major part for stabilizing and reconstructing the approximation of the solution in our multiscale procedure.

Item Type: Publication - Article
Digital Object Identifier (DOI): 10.1002/zamm.200710351
Programmes: POL Programmes
ISSN: 00442267
NORA Subject Terms: Marine Sciences
Date made live: 21 Aug 2012 16:09

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