An elliptic problem with integral constraints with application to large-scale geophysical flows

We present a weak formulation of a non-standard elliptic equation whose boundary values are determined in part by integral relations. Existence and uniqueness of its solution are proved, and a finite element discretization is described, analyzed, and implemented on a test problem. The equation is a...

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Bibliographic Details
Published in:Computational geosciences 1998-01, Vol.2 (4), p.337-346
Main Authors: Meir, Aj, Yavneh, Irad
Format: Article
Language:English
Subjects:
Boundary value problems
Discretization
Finite element analysis
Integrals
Mathematical analysis
Mathematical models
Physical properties
Stratified flow
Studies
Uniqueness
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Summary:We present a weak formulation of a non-standard elliptic equation whose boundary values are determined in part by integral relations. Existence and uniqueness of its solution are proved, and a finite element discretization is described, analyzed, and implemented on a test problem. The equation is a generalization of one that is solved during integration of the three-dimensional Quasigeostrophic equations, which model large-scale rotating stratified flows, where the integral constraints represent conservation of physical properties.[PUBLICATION ABSTRACT]
ISSN:1420-0597
1573-1499
DOI:10.1023/A:1011514606314