Gerasimov, T.; Stein, E.; Wriggers, P. Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture. (English) Zbl 1352.74038 Int. J. Numer. Methods Eng. 101, No. 2, 79-126 (2015). MSC: 74B05 74S05 65N30 65N50 74A45 PDFBibTeX XMLCite \textit{T. Gerasimov} et al., Int. J. Numer. Methods Eng. 101, No. 2, 79--126 (2015; Zbl 1352.74038) Full Text: DOI
Stein, Erwin History of the finite element method – mathematics meets mechanics. II: Mathematical foundation of primal FEM for elastic deformations, error analysis and adaptivity. (English) Zbl 1417.65005 Stein, Erwin (ed.), The history of theoretical, material and computational mechanics – mathematics meets mechanics and engineering. Selected papers based on the special sessions at the GAMM 2010, Karlsruhe, Germany, GAMM 2011, Graz, Austria, GAMM 2012, Darmstadt, Germany. Berlin: Springer. Lect. Notes Appl. Math. Mech. 1, 443-478 (2014). MSC: 65-03 01A05 70-03 74-03 74S05 PDFBibTeX XMLCite \textit{E. Stein}, Lect. Notes Appl. Math. Mech. 1, 443--478 (2014; Zbl 1417.65005) Full Text: DOI
Gerasimov, T.; Rüter, M.; Stein, E. An explicit residual-type error estimator for Q1-quadrilateral extended finite element method in two-dimensional linear elastic fracture mechanics. (English) Zbl 1242.74118 Int. J. Numer. Methods Eng. 90, No. 9, 1118-1155 (2012). MSC: 74S05 74R10 74B05 PDFBibTeX XMLCite \textit{T. Gerasimov} et al., Int. J. Numer. Methods Eng. 90, No. 9, 1118--1155 (2012; Zbl 1242.74118) Full Text: DOI
Stein, Erwin; Rüter, Marcus; Ohnimus, Stephan Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity. (English) Zbl 1173.74443 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3598-3613 (2007). MSC: 74S05 74B05 74B20 PDFBibTeX XMLCite \textit{E. Stein} et al., Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3598--3613 (2007; Zbl 1173.74443) Full Text: DOI
Rüter, Marcus; Stein, Erwin Goal-oriented a posteriori error estimates in linear elastic fracture mechanics. (English) Zbl 1193.74128 Comput. Methods Appl. Mech. Eng. 195, No. 4-6, 251-278 (2006). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{M. Rüter} and \textit{E. Stein}, Comput. Methods Appl. Mech. Eng. 195, No. 4--6, 251--278 (2006; Zbl 1193.74128) Full Text: DOI
Rüter, Marcus; Stein, Erwin Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity. (English) Zbl 0969.74067 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 519-541 (2000). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{M. Rüter} and \textit{E. Stein}, Comput. Methods Appl. Mech. Eng. 190, No. 5--7, 519--541 (2000; Zbl 0969.74067) Full Text: DOI
Stein, Erwin; Ohnimus, S. Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems. (English) Zbl 0954.74072 Comput. Methods Appl. Mech. Eng. 176, No. 1-4, 363-385 (1999). MSC: 74S05 65N15 74B05 74C05 PDFBibTeX XMLCite \textit{E. Stein} and \textit{S. Ohnimus}, Comput. Methods Appl. Mech. Eng. 176, No. 1--4, 363--385 (1999; Zbl 0954.74072) Full Text: DOI
Brink, Ulrich; Stein, Erwin A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems. (English) Zbl 0943.74062 Comput. Methods Appl. Mech. Eng. 161, No. 1-2, 77-101 (1998). MSC: 74S05 74B20 65N15 PDFBibTeX XMLCite \textit{U. Brink} and \textit{E. Stein}, Comput. Methods Appl. Mech. Eng. 161, No. 1--2, 77--101 (1998; Zbl 0943.74062) Full Text: DOI
Stein, Erwin; Ohnimus, S. Coupled model- and solution-adaptivity in the finite element method. (English) Zbl 0926.74127 Comput. Methods Appl. Mech. Eng. 150, No. 1-4, 327-350 (1997). MSC: 74S05 74K99 PDFBibTeX XMLCite \textit{E. Stein} and \textit{S. Ohnimus}, Comput. Methods Appl. Mech. Eng. 150, No. 1--4, 327--350 (1997; Zbl 0926.74127) Full Text: DOI
Stein, Erwin; Rust, Wilhelm Mesh adaptations for linear 2D finite-element discretizations in structural mechanics, especially in thin shell analysis. (English) Zbl 0727.73077 J. Comput. Appl. Math. 36, No. 1, 107-129 (1991). MSC: 74S05 65N50 74K15 PDFBibTeX XMLCite \textit{E. Stein} and \textit{W. Rust}, J. Comput. Appl. Math. 36, No. 1, 107--129 (1991; Zbl 0727.73077) Full Text: DOI
Stein, Erwin; Bischoff, Dieter Ernst; Brand, G.; Plank, Lothar Adaptive multi-grid methods for finite element systems with bi- and unilateral constraints. (English) Zbl 0589.73072 Comput. Methods Appl. Mech. Eng. 52, 873-884 (1985). MSC: 74S05 74A55 74M15 PDFBibTeX XMLCite \textit{E. Stein} et al., Comput. Methods Appl. Mech. Eng. 52, 873--884 (1985; Zbl 0589.73072) Full Text: DOI