Cao, Huihui; Huang, Yunqing; Yi, Nianyu Adaptive direct discontinuous Galerkin method for elliptic equations. (English) Zbl 07384074 Comput. Math. Appl. 97, 394-415 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{H. Cao} et al., Comput. Math. Appl. 97, 394--415 (2021; Zbl 07384074) Full Text: DOI OpenURL
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior multi-penalty finite element method. (English) Zbl 1480.65352 Int. J. Comput. Math. 97, No. 9, 1884-1907 (2020). MSC: 65N30 65N12 65N15 78A40 PDF BibTeX XML Cite \textit{L. Zhu} and \textit{Z. Zhou}, Int. J. Comput. Math. 97, No. 9, 1884--1907 (2020; Zbl 1480.65352) Full Text: DOI OpenURL
Zhu, Lingxue; Zhou, Zhenhua Convergence and quasi-optimality of an adaptive continuous interior penalty finite element method. (English) Zbl 07408376 Adv. Appl. Math. Mech. 11, No. 2, 428-451 (2019). MSC: 65N30 65N12 65N15 78A40 35J15 35J05 PDF BibTeX XML Cite \textit{L. Zhu} and \textit{Z. Zhou}, Adv. Appl. Math. Mech. 11, No. 2, 428--451 (2019; Zbl 07408376) Full Text: DOI OpenURL
Ainsworth, Mark; Fu, Guosheng Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations. (English) Zbl 1407.65275 J. Sci. Comput. 77, No. 1, 443-466 (2018). MSC: 65N30 65Y20 65D17 68U07 65N15 35J15 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{G. Fu}, J. Sci. Comput. 77, No. 1, 443--466 (2018; Zbl 1407.65275) Full Text: DOI arXiv OpenURL
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin \(hp\)-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. (English) Zbl 1351.65082 SIAM J. Sci. Comput. 38, No. 5, A3220-A3246 (2016). MSC: 65N15 35J25 35J05 65N30 65N12 65N50 PDF BibTeX XML Cite \textit{V. Dolejší} et al., SIAM J. Sci. Comput. 38, No. 5, A3220--A3246 (2016; Zbl 1351.65082) Full Text: DOI OpenURL
Dahmen, Tim; Roland, M.; Tjardes, T.; Bouillon, B.; Slusallek, Philipp; Diebels, S. An automated workflow for the biomechanical simulation of a tibia with implant using computed tomography and the finite element method. (English) Zbl 1443.92052 Comput. Math. Appl. 70, No. 5, 903-916 (2015). MSC: 92C10 92C50 92C55 65N30 65N50 PDF BibTeX XML Cite \textit{T. Dahmen} et al., Comput. Math. Appl. 70, No. 5, 903--916 (2015; Zbl 1443.92052) Full Text: DOI OpenURL
Dolejší, Vít; Šebestová, Ivana; Vohralík, Martin Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids. (English) Zbl 1326.65147 J. Sci. Comput. 64, No. 1, 1-34 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{V. Dolejší} et al., J. Sci. Comput. 64, No. 1, 1--34 (2015; Zbl 1326.65147) Full Text: DOI Link OpenURL
Zhou, Zhenhua; Zhu, Lingxue Convergence analysis of an adaptive continuous interior penalty finite element method for the Helmholtz equation. (English) Zbl 1311.65153 J. Math. Anal. Appl. 426, No. 2, 1061-1079 (2015). MSC: 65N30 35J05 65N12 PDF BibTeX XML Cite \textit{Z. Zhou} and \textit{L. Zhu}, J. Math. Anal. Appl. 426, No. 2, 1061--1079 (2015; Zbl 1311.65153) Full Text: DOI OpenURL
Csörgő, Gábor; Izsák, Ferenc Energy norm error estimates for averaged discontinuous Galerkin methods in 1 dimension. (English) Zbl 07485169 Int. J. Numer. Anal. Model. 11, No. 3, 567-586 (2014). MSC: 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{G. Csörgő} and \textit{F. Izsák}, Int. J. Numer. Anal. Model. 11, No. 3, 567--586 (2014; Zbl 07485169) Full Text: Link OpenURL
Ainsworth, Mark A framework for obtaining guaranteed error bounds for finite element approximations. (English) Zbl 1191.65144 J. Comput. Appl. Math. 234, No. 9, 2618-2632 (2010). MSC: 65N15 65N30 35J25 35J05 PDF BibTeX XML Cite \textit{M. Ainsworth}, J. Comput. Appl. Math. 234, No. 9, 2618--2632 (2010; Zbl 1191.65144) Full Text: DOI OpenURL
Ern, Alexandre; Stephansen, Annette F.; Vohralík, Martin Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. (English) Zbl 1190.65165 J. Comput. Appl. Math. 234, No. 1, 114-130 (2010). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N15 65N30 76S05 35J25 35B25 PDF BibTeX XML Cite \textit{A. Ern} et al., J. Comput. Appl. Math. 234, No. 1, 114--130 (2010; Zbl 1190.65165) Full Text: DOI OpenURL
Ern, Alexandre; Vohralík, Martin Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids. (English) Zbl 1161.65085 C. R., Math., Acad. Sci. Paris 347, No. 7-8, 441-444 (2009). MSC: 65N30 35J25 65N15 65N50 PDF BibTeX XML Cite \textit{A. Ern} and \textit{M. Vohralík}, C. R., Math., Acad. Sci. Paris 347, No. 7--8, 441--444 (2009; Zbl 1161.65085) Full Text: DOI OpenURL