Wang, Hong; Ewing, Richard E.; Russell, Thomas F. Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. (English) Zbl 0830.65095 IMA J. Numer. Anal. 15, No. 3, 405-459 (1995). This paper develops and analyzes Eulerian-Lagrangian localized adjoint methods for convection-diffusion problems. The formulation uses space- time elements, with edges oriented along Lagrangian flow paths, in a time-marching scheme, where space-time test functions are chosen to satisfy a local adjoint condition. Reviewer: Q.Duan (Lafayette) Cited in 31 Documents MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35K15 Initial value problems for second-order parabolic equations Keywords:convergence; Eulerian-Lagrangian localized adjoint methods; convection- diffusion problems; space-time elements; Lagrangian flow paths; time- marching scheme PDFBibTeX XMLCite \textit{H. Wang} et al., IMA J. Numer. Anal. 15, No. 3, 405--459 (1995; Zbl 0830.65095) Full Text: DOI