Smears, Iain; Vohralík, Martin Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems. (English) Zbl 1470.65199 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1951-1973 (2020). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N30 65N15 65N50 35B35 35B25 PDFBibTeX XMLCite \textit{I. Smears} and \textit{M. Vohralík}, ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1951--1973 (2020; Zbl 1470.65199) Full Text: DOI arXiv
Daniel, Patrik; Ern, Alexandre; Smears, Iain; Vohralík, Martin An adaptive \(hp\)-refinement strategy with computable guaranteed bound on the error reduction factor. (English) Zbl 1427.65356 Comput. Math. Appl. 76, No. 5, 967-983 (2018). MSC: 65N30 65N12 65N50 65N15 35J05 PDFBibTeX XMLCite \textit{P. Daniel} et al., Comput. Math. Appl. 76, No. 5, 967--983 (2018; Zbl 1427.65356) Full Text: DOI arXiv
Ern, Alexandre; Smears, Iain; VohralÍk, Martin Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems. (English) Zbl 1378.65165 SIAM J. Numer. Anal. 55, No. 6, 2811-2834 (2017). MSC: 65M15 65M60 35K20 PDFBibTeX XMLCite \textit{A. Ern} et al., SIAM J. Numer. Anal. 55, No. 6, 2811--2834 (2017; Zbl 1378.65165) Full Text: DOI arXiv
Ern, Alexandre; Smears, Iain; Vohralík, Martin Discrete \(p\)-robust \(\boldsymbol H(\mathrm{div})\)-liftings and a posteriori estimates for elliptic problems with \(H^{-1}\) source terms. (English) Zbl 1378.65173 Calcolo 54, No. 3, 1009-1025 (2017). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N15 35J25 PDFBibTeX XMLCite \textit{A. Ern} et al., Calcolo 54, No. 3, 1009--1025 (2017; Zbl 1378.65173) Full Text: DOI arXiv