Chrysafinos, K.; Walkington, Noel J. Error estimates for the discontinuous Galerkin methods for parabolic equations. (English) Zbl 1112.65086 SIAM J. Numer. Anal. 44, No. 1, 349-366 (2006). The authors develop the error estimates for the discontinuous Galerkin methods for parabolic equations using new assumptions. Several theorems and lemmas are presented for the foundation and finally local optimal approximnations are defined and illstrated. No numerical experiments are performed. Reviewer: Prabhat Kumar Mahanti (Saint John) Cited in 2 ReviewsCited in 28 Documents MSC: 65M15 Error bounds 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 35K15 Initial value problems for second-order parabolic equations PDFBibTeX XMLCite \textit{K. Chrysafinos} and \textit{N. J. Walkington}, SIAM J. Numer. Anal. 44, No. 1, 349--366 (2006; Zbl 1112.65086) Full Text: DOI Link