Douglas, Jim jun.; Russell, Thomas F. Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. (English) Zbl 0492.65051 SIAM J. Numer. Anal. 19, 871-885 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 410 Documents MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35K15 Initial value problems for second-order parabolic equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs Keywords:convection-dominated diffusion problems; optimal order error estimates; time-truncation errors; finite element techniques PDF BibTeX XML Cite \textit{J. Douglas jun.} and \textit{T. F. Russell}, SIAM J. Numer. Anal. 19, 871--885 (1982; Zbl 0492.65051) Full Text: DOI OpenURL