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Volume 5, Issue 3
Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

Ming Fang, Xianming Wang, Zhihui Li & Shaoqiang Tang

DOI: 10.4208/aamm.12-m1264

Adv. Appl. Math. Mech., 5 (2013), pp. 337-350.

Published online: 2013-05

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  • 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.

  • Keywords

Body-centered-cubic (BCC) crystalline solids, dispersion relation, matching boundary condition, reflection coefficient, scalar waves.

  • AMS Subject Headings

65Z05, 70-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-337, author = {Fang , MingWang , XianmingLi , Zhihui and Tang , Shaoqiang}, 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.

Fang , MingWang , XianmingLi , Zhihui and Tang , Shaoqiang. (2013). 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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