Kopteva, Natalia Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. (English) Zbl 1301.65122 Math. Comput. 83, No. 289, 2061-2070 (2014). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 65N15 65N50 65N06 35J25 35B25 PDFBibTeX XMLCite \textit{N. Kopteva}, Math. Comput. 83, No. 289, 2061--2070 (2014; Zbl 1301.65122) Full Text: DOI
Kopteva, Natalia; Linß, Torsten Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems. (English) Zbl 1352.65354 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 50-61 (2013). MSC: 65M60 35K57 65M15 65M50 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{T. Linß}, Lect. Notes Comput. Sci. 8236, 50--61 (2013; Zbl 1352.65354) Full Text: DOI
Kopteva, Natalia; Linss, Torsten Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions. (English) Zbl 1281.65121 SIAM J. Numer. Anal. 51, No. 3, 1494-1524 (2013). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M15 65M60 35K58 65M20 35K57 35B25 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{T. Linss}, SIAM J. Numer. Anal. 51, No. 3, 1494--1524 (2013; Zbl 1281.65121) Full Text: DOI Link
Kopteva, Natalia; Pickett, Maria A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1238.65117 Math. Comput. 81, No. 277, 81-105 (2012). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N55 65N06 65N30 65N15 65N50 35J61 65N12 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{M. Pickett}, Math. Comput. 81, No. 277, 81--105 (2012; Zbl 1238.65117) Full Text: DOI
Chadha, Naresh M.; Kopteva, Natalia Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1319.65105 Adv. Comput. Math. 35, No. 1, 33-55 (2011). MSC: 65N15 35B25 35J61 65N50 65N80 65N12 PDFBibTeX XMLCite \textit{N. M. Chadha} and \textit{N. Kopteva}, Adv. Comput. Math. 35, No. 1, 33--55 (2011; Zbl 1319.65105) Full Text: DOI Link
Kopteva, Natalia; Savescu, Simona Blanca Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem. (English) Zbl 1219.65096 IMA J. Numer. Anal. 31, No. 2, 616-639 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 65M15 65M12 35K57 35K58 35B25 65M50 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{S. B. Savescu}, IMA J. Numer. Anal. 31, No. 2, 616--639 (2011; Zbl 1219.65096) Full Text: DOI Link
Chadha, Naresh M.; Kopteva, Natalia A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1211.65099 IMA J. Numer. Anal. 31, No. 1, 188-211 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65L10 65L70 65L50 65L12 34B15 65L11 34E15 PDFBibTeX XMLCite \textit{N. M. Chadha} and \textit{N. Kopteva}, IMA J. Numer. Anal. 31, No. 1, 188--211 (2011; Zbl 1211.65099) Full Text: DOI Link
Kopteva, Natalia Numerical analysis of a 2D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1233.65081 Margenov, Svetozar (ed.) et al., Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-00463-6/pbk). Lecture Notes in Computer Science 5434, 80-91 (2009). MSC: 65N15 35B25 35J25 35J61 65N06 PDFBibTeX XMLCite \textit{N. Kopteva}, Lect. Notes Comput. Sci. 5434, 80--91 (2009; Zbl 1233.65081) Full Text: DOI
Kopteva, Natalia Maximum norm a posteriori error estimate for a 2D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1168.65062 SIAM J. Numer. Anal. 46, No. 3, 1602-1618 (2008). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65N15 65N06 65N50 35J65 PDFBibTeX XMLCite \textit{N. Kopteva}, SIAM J. Numer. Anal. 46, No. 3, 1602--1618 (2008; Zbl 1168.65062) Full Text: DOI Link
Kopteva, Natalia Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1149.65066 IMA J. Numer. Anal. 27, No. 3, 576-592 (2007). Reviewer: I. N. Katz (St. Louis) MSC: 65L70 34B15 34E15 65L10 65L12 65L50 PDFBibTeX XMLCite \textit{N. Kopteva}, IMA J. Numer. Anal. 27, No. 3, 576--592 (2007; Zbl 1149.65066) Full Text: DOI
Kopteva, Natalia; Stynes, Martin Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions. (English) Zbl 1069.65087 Appl. Numer. Math. 51, No. 2-3, 273-288 (2004). Reviewer: Eugene L. Allgower (Fort Collins) MSC: 65L10 34B15 34E15 65L50 PDFBibTeX XMLCite \textit{N. Kopteva} and \textit{M. Stynes}, Appl. Numer. Math. 51, No. 2--3, 273--288 (2004; Zbl 1069.65087) Full Text: DOI