Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1037.65063
Benamou, Jean-David
Numerical resolution of an ``unbalanced'' mass transport problem. (English)
[J] M2AN, Math. Model. Numer. Anal. 37, No. 5, 851-868 (2003). ISSN 0764-583X; ISSN 1290-3841/e

Summary: We introduce a modification of the Monge-Kantorovitch problem of exponent 2 which accommodates non balanced initial and final densities. The augmented Lagrangian numerical method introduced by the author [Numer. Math. 84, 375--393 (2000; Zbl 0968.76069)] is adapted to this ``unbalanced'' problem. We illustrate the usability of this method on an idealized error estimation problem in meteorology.

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49J20 Optimal control problems with PDE (existence)
80A20 Heat and mass transfer
49M30 Methods of successive approximation, not based on necessary cond.

Keywords: penalization technique; Monge-Kantorovitch problem; augmented Lagrangian numerical method; error estimation; meteorology

Citations: Zbl 0968.76069

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]