Construction of a natural norm for the convection-diffusion-reaction operator
Bollettino dell'Unione Matematica Italiana (2004)
- Volume: 7-B, Issue: 2, page 335-355
- ISSN: 0392-4041
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topSangalli, Giancarlo. "Construction of a natural norm for the convection-diffusion-reaction operator." Bollettino dell'Unione Matematica Italiana 7-B.2 (2004): 335-355. <http://eudml.org/doc/195554>.
@article{Sangalli2004,
abstract = {In this work, we construct, by means of the function space interpolation theory, a natural norm for a generic linear coercive and non-symmetric operator. We look for a norm which is the counterpart of the energy norm for symmetric operators. The natural norm allows for continuity and inf-sup conditions independent of the operator. Particularly we consider the convection-diffusion-reaction operator, for which we obtain continuity and inf-sup conditions that are uniform with respect to the operator coefficients, and therefore meaningful in the convectiondominant regime. Our results are preliminary to a deeper understanding and analysis of the numerical techniques for non-symmetric problems.},
author = {Sangalli, Giancarlo},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {335-355},
publisher = {Unione Matematica Italiana},
title = {Construction of a natural norm for the convection-diffusion-reaction operator},
url = {http://eudml.org/doc/195554},
volume = {7-B},
year = {2004},
}
TY - JOUR
AU - Sangalli, Giancarlo
TI - Construction of a natural norm for the convection-diffusion-reaction operator
JO - Bollettino dell'Unione Matematica Italiana
DA - 2004/6//
PB - Unione Matematica Italiana
VL - 7-B
IS - 2
SP - 335
EP - 355
AB - In this work, we construct, by means of the function space interpolation theory, a natural norm for a generic linear coercive and non-symmetric operator. We look for a norm which is the counterpart of the energy norm for symmetric operators. The natural norm allows for continuity and inf-sup conditions independent of the operator. Particularly we consider the convection-diffusion-reaction operator, for which we obtain continuity and inf-sup conditions that are uniform with respect to the operator coefficients, and therefore meaningful in the convectiondominant regime. Our results are preliminary to a deeper understanding and analysis of the numerical techniques for non-symmetric problems.
LA - eng
UR - http://eudml.org/doc/195554
ER -
References
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