ISSN:
1573-1499
Keywords:
elliptic equation
;
integral constraint
;
Quasigeostrophic equations
;
geophysical flows
;
35Q35
;
65N30
;
76M10
;
76V05
;
86A05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Computer Science
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1011514606314
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