Title
A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain
Abstract
Highly anisotropic elliptic problems occur in many physical models that need to be solved numerically. A direction of dominant diffusion is thus introduced (called here parallel direction) along which the diffusion coefficient is several orders larger of magnitude than in the perpendicular one. In this case, finite-difference methods based on misaligned stencils are generally not designed to provide an optimal discretization, and may lead the perpendicular diffusion to be polluted by the numerical error in approximating the parallel diffusion.
Year
DOI
Venue
2020
10.1016/j.jcp.2019.109093
Journal of Computational Physics
Keywords
Field
DocType
Anisotropic operators,Conservative finite-difference scheme,Aligned interpolation
Anisotropy,Finite difference scheme,Mathematical analysis,Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
405
0021-9991
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
J.A. Soler100.34
F. Schwander2163.07
G. Giorgiani300.34
J. Liandrat400.34
P. Tamain5173.89
Eric Serre673.03