An asymptotic preserving method for transport equations with oscillatory scattering coefficients
Publication
, Journal Article
Li, Q; Lu, J
Published in: Multiscale Modeling and Simulation
January 1, 2017
We design a numerical scheme for transport equations with oscillatory periodic scattering coefficients. The scheme is asymptotic preserving in the diffusion limit as the Knudsen number goes to zero. It also captures the homogenization limit as the length scale of the scattering coefficient goes to zero. The proposed method is based on the construction of multiscale finite element basis and a Galerkin projection based on the even-odd decomposition. The method is analyzed in the asymptotic regime, as well as validated numerically.
Duke Scholars
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
January 1, 2017
Volume
15
Issue
4
Start / End Page
1694 / 1718
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Li, Q., & Lu, J. (2017). An asymptotic preserving method for transport equations with oscillatory scattering coefficients. Multiscale Modeling and Simulation, 15(4), 1694–1718. https://doi.org/10.1137/16M109212X
Li, Q., and J. Lu. “An asymptotic preserving method for transport equations with oscillatory scattering coefficients.” Multiscale Modeling and Simulation 15, no. 4 (January 1, 2017): 1694–1718. https://doi.org/10.1137/16M109212X.
Li Q, Lu J. An asymptotic preserving method for transport equations with oscillatory scattering coefficients. Multiscale Modeling and Simulation. 2017 Jan 1;15(4):1694–718.
Li, Q., and J. Lu. “An asymptotic preserving method for transport equations with oscillatory scattering coefficients.” Multiscale Modeling and Simulation, vol. 15, no. 4, Jan. 2017, pp. 1694–718. Scopus, doi:10.1137/16M109212X.
Li Q, Lu J. An asymptotic preserving method for transport equations with oscillatory scattering coefficients. Multiscale Modeling and Simulation. 2017 Jan 1;15(4):1694–1718.
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
January 1, 2017
Volume
15
Issue
4
Start / End Page
1694 / 1718
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics