Zhang, Qiuyu; Li, Jian; Huang, Pengzhan Recovery type a posteriori error estimates for the conduction convection problem. (English) Zbl 1456.65170 Numer. Algorithms 86, No. 1, 425-441 (2021). MSC: 65N30 65N15 65N50 80A19 76D05 35Q35 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Algorithms 86, No. 1, 425--441 (2021; Zbl 1456.65170) Full Text: DOI
Duval, M.; Lozinski, A.; Passieux, J. C.; Salaün, M. Residual error based adaptive mesh refinement with the non-intrusive patch algorithm. (English) Zbl 1439.65159 Comput. Methods Appl. Mech. Eng. 329, 118-143 (2018). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{M. Duval} et al., Comput. Methods Appl. Mech. Eng. 329, 118--143 (2018; Zbl 1439.65159) Full Text: DOI Link
Carstensen, Carsten; Eigel, Martin Reliable averaging for the primal variable in the Courant FEM and hierarchical error estimators on red-refined meshes. (English) Zbl 1336.65187 Comput. Methods Appl. Math. 16, No. 2, 213-230 (2016). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{M. Eigel}, Comput. Methods Appl. Math. 16, No. 2, 213--230 (2016; Zbl 1336.65187) Full Text: DOI
Nadal, E.; Díez, P.; Ródenas, J. J.; Tur, M.; Fuenmayor, F. J. A recovery-explicit error estimator in energy norm for linear elasticity. (English) Zbl 1423.74909 Comput. Methods Appl. Mech. Eng. 287, 172-190 (2015). MSC: 74S05 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{E. Nadal} et al., Comput. Methods Appl. Mech. Eng. 287, 172--190 (2015; Zbl 1423.74909) Full Text: DOI Link
Bush, Lawrence; Deng, Quanling; Ginting, Victor A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity. (English) Zbl 1423.74092 Comput. Methods Appl. Mech. Eng. 286, 354-372 (2015). MSC: 74B05 74S05 65N30 74A10 PDFBibTeX XMLCite \textit{L. Bush} et al., Comput. Methods Appl. Mech. Eng. 286, 354--372 (2015; Zbl 1423.74092) 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
Huang, Yunqing; Li, Jichun; Wu, Chao Averaging for superconvergence: verification and application of 2D edge elements to Maxwell’s equations in metamaterials. (English) Zbl 1297.78016 Comput. Methods Appl. Mech. Eng. 255, 121-132 (2013). MSC: 78M10 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 255, 121--132 (2013; Zbl 1297.78016) Full Text: DOI
Ainsworth, Mark; Rankin, Richard Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity. (English) Zbl 1228.74076 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1909-1926 (2011). MSC: 74S05 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{R. Rankin}, Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1909--1926 (2011; Zbl 1228.74076) Full Text: DOI Link
Kim, Kwang-Yeon; Lee, Hyung-Chun A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem. (English) Zbl 1427.74020 J. Comput. Appl. Math. 235, No. 1, 186-202 (2010). MSC: 74B05 74S05 65N15 PDFBibTeX XMLCite \textit{K.-Y. Kim} and \textit{H.-C. Lee}, J. Comput. Appl. Math. 235, No. 1, 186--202 (2010; Zbl 1427.74020) Full Text: DOI
Rüter, Marcus; Stein, Erwin On the duality of finite element discretization error control in computational Newtonian and Eshelbian mechanics. (English) Zbl 1169.74050 Comput. Mech. 39, No. 5, 609-630 (2007). MSC: 74S05 74B20 65N15 65N30 PDFBibTeX XMLCite \textit{M. Rüter} and \textit{E. Stein}, Comput. Mech. 39, No. 5, 609--630 (2007; Zbl 1169.74050) Full Text: DOI
Li, Zhi-Ping; Carstensen, Carsten An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems. (English) Zbl 1125.65059 BIT 47, No. 3, 601-611 (2007). MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{Z.-P. Li} and \textit{C. Carstensen}, BIT 47, No. 3, 601--611 (2007; Zbl 1125.65059) Full Text: DOI
Stadler, Georg Path-following and augmented Lagrangian methods for contact problems in linear elasticity. (English) Zbl 1119.49028 J. Comput. Appl. Math. 203, No. 2, 533-547 (2007). MSC: 49M15 74M15 49M37 65K05 49S05 PDFBibTeX XMLCite \textit{G. Stadler}, J. Comput. Appl. Math. 203, No. 2, 533--547 (2007; Zbl 1119.49028) Full Text: DOI
Micheletti, Stefano; Perotto, Simona Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator. (English) Zbl 1125.65099 Comput. Methods Appl. Mech. Eng. 195, No. 9-12, 799-835 (2006). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N15 65N50 65N30 35J05 65Y20 PDFBibTeX XMLCite \textit{S. Micheletti} and \textit{S. Perotto}, Comput. Methods Appl. Mech. Eng. 195, No. 9--12, 799--835 (2006; Zbl 1125.65099) Full Text: DOI
Carstensen, C. A unifying theory of a posteriori finite element error control. (English) Zbl 1100.65089 Numer. Math. 100, No. 4, 617-637 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 35J25 35J05 65N30 PDFBibTeX XMLCite \textit{C. Carstensen}, Numer. Math. 100, No. 4, 617--637 (2005; Zbl 1100.65089) Full Text: DOI Link
Carstensen, Carsten; Causin, Paola; Sacco, Riccardo A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations. (English) Zbl 1082.65110 Numer. Math. 101, No. 2, 309-332 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 74B05 74S05 35Q30 76D07 76M10 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 101, No. 2, 309--332 (2005; Zbl 1082.65110) Full Text: DOI Link
Blacker, D. J. A robust a posteriori error estimate for the Fortin-Soulie finite element method. (English) Zbl 1085.74044 Comput. Math. Appl. 48, No. 12, 1863-1876 (2004). MSC: 74S05 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{D. J. Blacker}, Comput. Math. Appl. 48, No. 12, 1863--1876 (2004; Zbl 1085.74044) Full Text: DOI
Bartels, S.; Carstensen, C. Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. (English) Zbl 1063.65050 Numer. Math. 99, No. 2, 225-249 (2004). Reviewer: Muhammad Aslam Noor (Islamabad) MSC: 65K10 49J40 49M15 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{C. Carstensen}, Numer. Math. 99, No. 2, 225--249 (2004; Zbl 1063.65050) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Optimal shape design in biomimetics based on homogenization and adaptivity. (English) Zbl 1106.74390 Math. Comput. Simul. 65, No. 3, 257-272 (2004). MSC: 74Q05 90C30 65K10 49Q10 74B05 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Math. Comput. Simul. 65, No. 3, 257--272 (2004; Zbl 1106.74390) Full Text: DOI
Carstensen, Carsten; Bartels, Sören Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. (English) Zbl 0997.65126 Math. Comput. 71, No. 239, 945-969 (2002). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N50 65N15 35J05 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. Bartels}, Math. Comput. 71, No. 239, 945--969 (2002; Zbl 0997.65126) Full Text: DOI
Carstensen, Carsten; Funken, Stefan A. Averaging technique for a posteriori error control in elasticity. III: Locking-free nonconforming FEM. (English) Zbl 1054.74049 Comput. Methods Appl. Mech. Eng. 191, No. 8-10, 861-877 (2001). MSC: 74S05 74B05 65N15 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. A. Funken}, Comput. Methods Appl. Mech. Eng. 191, No. 8--10, 861--877 (2001; Zbl 1054.74049) Full Text: DOI