Braess, Dietrich; Hoppe, R. H. W.; Linsenmann, Christopher A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinous Galerkin approximation. (English) Zbl 1419.31004 ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2479-2504 (2018). MSC: 31A30 65N30 65N50 PDFBibTeX XMLCite \textit{D. Braess} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2479--2504 (2018; Zbl 1419.31004) Full Text: DOI
Braess, D.; Fraunholz, T.; Hoppe, R. H. W. An equilibrated a posteriori error estimator for the interior penalty discontinuous Galerkin method. (English) Zbl 1302.65239 SIAM J. Numer. Anal. 52, No. 4, 2121-2136 (2014). MSC: 65N15 65N30 35J25 35J05 PDFBibTeX XMLCite \textit{D. Braess} et al., SIAM J. Numer. Anal. 52, No. 4, 2121--2136 (2014; Zbl 1302.65239) Full Text: DOI Link
Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. Error reduction in adaptive finite element approximations of elliptic obstacle problems. (English) Zbl 1212.65246 J. Comput. Math. 27, No. 2-3, 148-169 (2009). MSC: 65K10 49J20 49M30 PDFBibTeX XMLCite \textit{D. Braess} et al., J. Comput. Math. 27, No. 2--3, 148--169 (2009; Zbl 1212.65246)
Braess, Dietrich; Hoppe, Ronald H. W.; Schöberl, Joachim A posteriori estimators for obstacle problems by the hypercircle method. (English) Zbl 1522.49008 Comput. Vis. Sci. 11, No. 4-6, 351-362 (2008). MSC: 49J40 35J87 65K10 65N15 65N30 PDFBibTeX XMLCite \textit{D. Braess} et al., Comput. Vis. Sci. 11, No. 4--6, 351--362 (2008; Zbl 1522.49008) Full Text: DOI
Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W. Convergence analysis of a conforming adaptive finite element method for an obstacle problem. (English) Zbl 1126.65058 Numer. Math. 107, No. 3, 455-471 (2007). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49J40 49M15 PDFBibTeX XMLCite \textit{D. Braess} et al., Numer. Math. 107, No. 3, 455--471 (2007; Zbl 1126.65058) Full Text: DOI Link