Divergence boundary conditions for vector Helmholtz equations with divergence constraints
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 33, Issue: 3, page 479-492
- ISSN: 0764-583X
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topKangro, Urve, and Nicolaides, Roy. "Divergence boundary conditions for vector Helmholtz equations with divergence constraints." ESAIM: Mathematical Modelling and Numerical Analysis 33.3 (2010): 479-492. <http://eudml.org/doc/197479>.
@article{Kangro2010,
abstract = {
The idea of replacing a divergence constraint by a divergence boundary
condition is investigated. The connections between the formulations are
considered in detail. It is shown that the most common methods of using
divergence boundary conditions do not always work properly. Necessary
and sufficient conditions for the equivalence of the formulations are
given.
},
author = {Kangro, Urve, Nicolaides, Roy},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Maxwell's equations; divergence boundary conditions; Helmholtz
equation; divergence constraints.; interior and boundary formulations of divergence constraints; finite elements; vector Helmholtz case of electromagnetics},
language = {eng},
month = {3},
number = {3},
pages = {479-492},
publisher = {EDP Sciences},
title = {Divergence boundary conditions for vector Helmholtz equations with divergence constraints},
url = {http://eudml.org/doc/197479},
volume = {33},
year = {2010},
}
TY - JOUR
AU - Kangro, Urve
AU - Nicolaides, Roy
TI - Divergence boundary conditions for vector Helmholtz equations with divergence constraints
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 3
SP - 479
EP - 492
AB -
The idea of replacing a divergence constraint by a divergence boundary
condition is investigated. The connections between the formulations are
considered in detail. It is shown that the most common methods of using
divergence boundary conditions do not always work properly. Necessary
and sufficient conditions for the equivalence of the formulations are
given.
LA - eng
KW - Maxwell's equations; divergence boundary conditions; Helmholtz
equation; divergence constraints.; interior and boundary formulations of divergence constraints; finite elements; vector Helmholtz case of electromagnetics
UR - http://eudml.org/doc/197479
ER -
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