Estep, D. Error estimates for multiscale operator decomposition for multiphysics models. (English) Zbl 1218.65100 Fish, Jacob (ed.), Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press (ISBN 978-0-19-923385-4/hbk). 305-390 (2010). MSC: 65M15 65M20 35K57 65M12 PDFBibTeX XMLCite \textit{D. Estep}, in: Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press. 305--390 (2010; Zbl 1218.65100) Full Text: DOI Link
Carey, V.; Estep, D.; Johansson, A.; Larson, M.; Tavener, S. Blockwise adaptivity for time dependent problems based on coarse scale adjoint solutions. (English) Zbl 1216.65127 SIAM J. Sci. Comput. 32, No. 4, 2121-2145 (2010). MSC: 65M60 35K57 65M15 65M50 PDFBibTeX XMLCite \textit{V. Carey} et al., SIAM J. Sci. Comput. 32, No. 4, 2121--2145 (2010; Zbl 1216.65127) Full Text: DOI Link
Estep, D.; Ginting, V.; Ropp, D.; Shadid, J. N.; Tavener, S. An a posteriori-a priori analysis of multiscale operator splitting. (English) Zbl 1166.65367 SIAM J. Numer. Anal. 46, No. 3, 1116-1146 (2008). MSC: 65L70 65L05 34A34 65L60 35K57 65M20 PDFBibTeX XMLCite \textit{D. Estep} et al., SIAM J. Numer. Anal. 46, No. 3, 1116--1146 (2008; Zbl 1166.65367) Full Text: DOI
Estep, Donald J.; Larson, Mats G.; Williams, Roy D. Estimating the error of numerical solutions of systems of reaction-diffusion equations. (English) Zbl 0998.65096 Mem. Am. Math. Soc. 696, 109 p. (2000). Reviewer: S.Burys (Kraków) MSC: 65M12 65M60 65M15 92D25 82D55 35K57 PDFBibTeX XMLCite \textit{D. J. Estep} et al., Estimating the error of numerical solutions of systems of reaction-diffusion equations. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0998.65096) Full Text: DOI Link