Finite volume methods for convection-diffusion problems Academic Article

abstract

• Derivation, stability, and error analysis in both discrete H1- and L2-norms for cell-centered finite volume approximations of convection-diffusion problems are presented. Various upwind strategies are investigated. The theoretical results are illustrated by numerical examples.

authors

• Lazarov, Raytcho

published proceedings

• SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

• Lazarov, R. D., Mishev, I. D., & Vassilevski, P. S.

citation count

• 164

complete list of authors

• Lazarov, RD||Mishev, ID||Vassilevski, PS

publication date

• January 1996

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Numerical Analysis  Journal

keywords

• Cell-centered Grid
• Convection-diffusion Problem
• Error Estimates
• Non-self-adjoint Elliptic Problems
• Upwind And Modified Upwind Approximations

Digital Object Identifier (DOI)

• 10.1137/0733003

start page

• 31

end page

• 55

volume

• 33

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1137%2F0733003