@Article{AAMM-5-337,
author = {Ming and Fang and and 20131 and and Ming Fang and Xianming and Wang and and 20132 and and Xianming Wang and Zhihui and Li and and 20133 and and Zhihui Li and Shaoqiang and Tang and and 20134 and and Shaoqiang Tang},
title = {Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {3},
pages = {337--350},
abstract = {
Matching boundary conditions (MBC's) are proposed to treat scalar
waves in the body-centered-cubic lattices. By matching the
dispersion relation, we construct MBC's for normal incidence and
incidence with an angle alpha. Multiplication of MBC operators
then leads to multi-directional absorbing boundary conditions. The
effectiveness is illustrated by the reflection coefficient analysis
and wave packet tests. In particular, the designed M1M1 treats the
scalar waves in a satisfactory manner.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m1264},
url = {http://global-sci.org/intro/article_detail/aamm/73.html}
}
TY - JOUR
T1 - Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices
AU - Fang , Ming
AU - Wang , Xianming
AU - Li , Zhihui
AU - Tang , Shaoqiang
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 337
EP - 350
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1264
UR - https://global-sci.org/intro/article_detail/aamm/73.html
KW - Body-centered-cubic (BCC) crystalline solids, dispersion relation, matching boundary condition, reflection coefficient, scalar waves.
AB -
Matching boundary conditions (MBC's) are proposed to treat scalar
waves in the body-centered-cubic lattices. By matching the
dispersion relation, we construct MBC's for normal incidence and
incidence with an angle alpha. Multiplication of MBC operators
then leads to multi-directional absorbing boundary conditions. The
effectiveness is illustrated by the reflection coefficient analysis
and wave packet tests. In particular, the designed M1M1 treats the
scalar waves in a satisfactory manner.
Ming Fang, Xianming Wang, Zhihui Li & Shaoqiang Tang. (1970). Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices.
Advances in Applied Mathematics and Mechanics. 5 (3).
337-350.
doi:10.4208/aamm.12-m1264
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