Carstensen, Carsten; Liu, Dongjie; Alberty, Jochen Convergence of \(\mathrm{dG}(1)\) in elastoplastic evolution. (English) Zbl 1433.65283 Numer. Math. 141, No. 3, 715-742 (2019). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N30 65R20 74C05 35Q74 65N12 74S05 65M60 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 141, No. 3, 715--742 (2019; Zbl 1433.65283) Full Text: DOI OpenURL
Carstensen, Carsten; Ebobisse, François; McBride, Andrew T.; Reddy, B. Daya; Steinmann, Paul Flow relations and yield functions for dissipative strain-gradient plasticity. (English) Zbl 1382.74023 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 31-42 (2017). MSC: 74C05 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Adv. Struct. Mater. 69, 31--42 (2017; Zbl 1382.74023) Full Text: DOI OpenURL
Carstensen, Carsten; Schröder, Andreas; Wiedemann, Sebastian An optimal adaptive finite element method for elastoplasticity. (English) Zbl 1338.74099 Numer. Math. 132, No. 1, 131-154 (2016). MSC: 74S05 65N30 65N50 74C05 65K15 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 132, No. 1, 131--154 (2016; Zbl 1338.74099) Full Text: DOI OpenURL
Carstensen, Carsten; Gallistl, Dietmar; Krämer, Boris Numerical algorithms for the simulation of finite plasticity with microstructures. (English) Zbl 1371.74257 Conti, Sergio (ed.) et al., Analysis and computation of microstructure in finite plasticity. Cham: Springer (ISBN 978-3-319-18241-4/hbk; 978-3-319-18242-1/ebook). Lecture Notes in Applied and Computational Mechanics 78, 1-30 (2015). MSC: 74S05 74C15 74M25 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Lect. Notes Appl. Comput. Mech. 78, 1--30 (2015; Zbl 1371.74257) Full Text: DOI OpenURL
Carstensen, Carsten; Huth, Robert Towards effective simulation of effective elastoplastic evolution. (English) Zbl 1209.74015 Daya Reddy, B. (ed.), IUTAM symposium on theoretical, computational and modelling aspects of inelastic media. Proceedings of the IUTAM symposium held at Cape Town, South Africa, January 14–18, 2008. Dordrecht: Springer (ISBN 978-1-4020-9089-9/hbk; 978-1-4020-9090-5/ebook). IUTAM Bookseries 11, 41-51 (2008). MSC: 74C15 74S05 74M25 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{R. Huth}, IUTAM Bookser. 11, 41--51 (2008; Zbl 1209.74015) Full Text: DOI Link OpenURL
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. (English) Zbl 1160.74326 Contin. Mech. Thermodyn. 20, No. 5, 275-301 (2008). MSC: 74C15 74E15 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Contin. Mech. Thermodyn. 20, No. 5, 275--301 (2008; Zbl 1160.74326) Full Text: DOI OpenURL
Carstensen, Carsten Convergence of an adaptive FEM for a class of degenerate convex minimization problems. (English) Zbl 1169.65065 IMA J. Numer. Anal. 28, No. 3, 423-439 (2008). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 74C05 49J20 49M15 74A60 74P05 PDF BibTeX XML Cite \textit{C. Carstensen}, IMA J. Numer. Anal. 28, No. 3, 423--439 (2008; Zbl 1169.65065) Full Text: DOI Link OpenURL
Carstensen, C.; Hackl, K.; Hoppe, U.; Orlando, A. Computational microstructures in phase transition solids and finite-strain elastoplasiticity. (English) Zbl 1158.74038 GAMM-Mitt. 29, No. 2, 215-246 (2006). MSC: 74N15 74G65 74C15 PDF BibTeX XML Cite \textit{C. Carstensen} et al., GAMM-Mitt. 29, No. 2, 215--246 (2006; Zbl 1158.74038) Full Text: DOI OpenURL
Carstensen, Carsten; Orlando, Antonio; Valdman, Jan A convergent adaptive finite element method for the primal problem of elastoplasticity. (English) Zbl 1127.74040 Int. J. Numer. Methods Eng. 67, No. 13, 1851-1887 (2006). MSC: 74S05 74C05 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Int. J. Numer. Methods Eng. 67, No. 13, 1851--1887 (2006; Zbl 1127.74040) Full Text: DOI Link OpenURL
Carstensen, C.; Klose, R.; Orlando, A. Reliable and efficient equilibrated a posteriori finite element error control in elastoplasticity and elastoviscoplasticity with hardening. (English) Zbl 1122.74046 Comput. Methods Appl. Mech. Eng. 195, No. 19-22, 2574-2598 (2006). MSC: 74S05 74C05 74C10 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Comput. Methods Appl. Mech. Eng. 195, No. 19--22, 2574--2598 (2006; Zbl 1122.74046) Full Text: DOI OpenURL
Carstensen, Carsten; Orlando, Antonio Convergence of adaptive finite element methods in elastoplasticity. (English) Zbl 1391.74239 PAMM, Proc. Appl. Math. Mech. 5, 829-830 (2005). MSC: 74S05 74C05 74B05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{A. Orlando}, PAMM, Proc. Appl. Math. Mech. 5, 829--830 (2005; Zbl 1391.74239) Full Text: DOI OpenURL
Carstensen, Carsten; Jensen, Max Averaging techniques for reliable and efficient a posteriori finite element error control: analysis and applications. (English) Zbl 1097.65108 Shi, Zhong-Ci (ed.) et al., Recent advances in adaptive computation. Proceedings of the international conference on recent advances in adaptive computation, May 24–28, 2004, Zhejiang University, Hangzhou, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3662-5/pbk). Contemporary Mathematics 383, 15-34 (2005). MSC: 65N15 65N30 65N50 35J25 74B05 74S05 74C05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{M. Jensen}, Contemp. Math. 383, 15--34 (2005; Zbl 1097.65108) OpenURL
Braess, Dietrich (ed.); Carstensen, Carsten (ed.); Hackl, Klaus (ed.) Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen. (Mixed and nonstandard finite element methods with applications.) (English) Zbl 1065.65500 Oberwolfach Rep. 2, No. 1, Report 5, 257-317 (2005). MSC: 65-06 74-06 00B25 65Nxx 74S05 74Bxx 74Cxx 00B05 PDF BibTeX XML Cite \textit{D. Braess} (ed.) et al., Oberwolfach Rep. 2, No. 1, Report 5, 257--317 (2005; Zbl 1065.65500) Full Text: DOI Link OpenURL
Brokate, Martin; Carstensen, Carsten; Valdman, Jan A quasi-static boundary value problem in multi-surface elastoplasticity. II: Numerical solution. (English) Zbl 1112.74007 Math. Methods Appl. Sci. 28, No. 8, 881-901 (2005). Reviewer: Pavel Krejčí (Praha) MSC: 74C05 47J40 74S05 65M60 74H20 PDF BibTeX XML Cite \textit{M. Brokate} et al., Math. Methods Appl. Sci. 28, No. 8, 881--901 (2005; Zbl 1112.74007) Full Text: DOI OpenURL
Carstensen, Carsten Ten remarks on nonconvex minimisation for phase transition simulations. (English) Zbl 1143.74348 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 169-193 (2005). MSC: 74N15 49J45 65K10 74C15 74G65 74S30 PDF BibTeX XML Cite \textit{C. Carstensen}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 169--193 (2005; Zbl 1143.74348) Full Text: DOI OpenURL
Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U. Effective relaxation for microstructure simulations: algorithms and applications. (English) Zbl 1112.74501 Comput. Methods Appl. Mech. Eng. 193, No. 48-51, 5143-5175 (2004). MSC: 74S05 74A60 74C15 PDF BibTeX XML Cite \textit{S. Bartels} et al., Comput. Methods Appl. Mech. Eng. 193, No. 48--51, 5143--5175 (2004; Zbl 1112.74501) Full Text: DOI OpenURL
Brokate, Martin; Carstensen, Carsten; Valdman, Jan A quasi-static boundary value problem in multi-surface elastoplasticity. I: Analysis. (English) Zbl 1074.74013 Math. Methods Appl. Sci. 27, No. 14, 1697-1710 (2004). Reviewer: Pavel Krejčí (Praha) MSC: 74C05 74G65 74G25 74G30 PDF BibTeX XML Cite \textit{M. Brokate} et al., Math. Methods Appl. Sci. 27, No. 14, 1697--1710 (2004; Zbl 1074.74013) Full Text: DOI OpenURL
Carstensen, Carsten; Alberty, Jochen Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening. (English) Zbl 1026.74067 Comput. Methods Appl. Mech. Eng. 192, No. 11-12, 1435-1450 (2003). MSC: 74S05 74C05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{J. Alberty}, Comput. Methods Appl. Mech. Eng. 192, No. 11--12, 1435--1450 (2003; Zbl 1026.74067) Full Text: DOI OpenURL
Alberty, Jochen; Carstensen, Carsten Discontinuous Galerkin time discretization in elastoplasticity: Motivation, numerical algorithms, and applications. (English) Zbl 1018.74040 Comput. Methods Appl. Mech. Eng. 191, No. 43, 4949-4968 (2002). MSC: 74S30 74C05 PDF BibTeX XML Cite \textit{J. Alberty} and \textit{C. Carstensen}, Comput. Methods Appl. Mech. Eng. 191, No. 43, 4949--4968 (2002; Zbl 1018.74040) Full Text: DOI OpenURL
Carstensen, C.; Klose, R. Elastoviscoplastic finite element analysis in 100 lines of Matlab. (English) Zbl 1099.74544 J. Numer. Math. 10, No. 3, 157-192 (2002). MSC: 74S05 65-04 65N30 74C15 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{R. Klose}, J. Numer. Math. 10, No. 3, 157--192 (2002; Zbl 1099.74544) Full Text: DOI OpenURL
Carstensen, Carsten; Müller, Stefan Local stress regularity in scalar nonconvex variational problems. (English) Zbl 1012.49027 SIAM J. Math. Anal. 34, No. 2, 495-509 (2002). MSC: 49N60 74G40 74B15 74N15 35D10 35J70 74C05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Müller}, SIAM J. Math. Anal. 34, No. 2, 495--509 (2002; Zbl 1012.49027) Full Text: DOI OpenURL
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander Non-convex potentials and microstructures in finite-strain plasticity. (English) Zbl 1008.74016 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2018, 299-317 (2002). MSC: 74C15 74G65 74A60 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2018, 299--317 (2002; Zbl 1008.74016) Full Text: DOI OpenURL
Alberty, J.; Carstensen, C.; Zarrabi, D. Numerical analysis of primal elastoplasticity with hardening. (English) Zbl 0978.74070 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 3, S831-S832 (2000). MSC: 74S05 74C05 65N15 PDF BibTeX XML Cite \textit{J. Alberty} et al., ZAMM, Z. Angew. Math. Mech. 80, S831--S832 (2000; Zbl 0978.74070) OpenURL
Carstensen, C.; Hackl, K. On microstructures occuring in a model of finite-strain elastoplasticity involving a single slip-system. (English) Zbl 0979.74012 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 2, S421-S422 (2000). MSC: 74C15 74A60 74S05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{K. Hackl}, ZAMM, Z. Angew. Math. Mech. 80, S421--S422 (2000; Zbl 0979.74012) Full Text: DOI OpenURL
Alberty, Jochen; Carstensen, Carsten; Zarrabi, Darius Adaptive numerical analysis in primal elastoplasticity with hardening. (English) Zbl 0956.74049 Comput. Methods Appl. Mech. Eng. 171, No. 3-4, 175-204 (1999). MSC: 74S05 74C05 PDF BibTeX XML Cite \textit{J. Alberty} et al., Comput. Methods Appl. Mech. Eng. 171, No. 3--4, 175--204 (1999; Zbl 0956.74049) Full Text: DOI OpenURL
Carstensen, Carsten Numerical analysis of the primal problem of elastoplasticity with hardening. (English) Zbl 0947.74061 Numer. Math. 82, No. 4, 577-597 (1999). MSC: 74S05 74C05 65N30 65R20 PDF BibTeX XML Cite \textit{C. Carstensen}, Numer. Math. 82, No. 4, 577--597 (1999; Zbl 0947.74061) Full Text: DOI OpenURL
Carstensen, Carsten; Zarrabi, Darius; Stephan, Ernst P. On the \(h\)-adaptive coupling of FE and BE for viscoplastic and elasto-plastic interface problems. (English) Zbl 0862.73059 J. Comput. Appl. Math. 75, No. 2, 345-363 (1996). MSC: 74S05 74S15 74C10 PDF BibTeX XML Cite \textit{C. Carstensen} et al., J. Comput. Appl. Math. 75, No. 2, 345--363 (1996; Zbl 0862.73059) Full Text: DOI OpenURL
Carstensen, Carsten Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening. (English) Zbl 0846.73059 SIAM J. Numer. Anal. 33, No. 1, 171-207 (1996). MSC: 74S05 74S15 74C10 PDF BibTeX XML Cite \textit{C. Carstensen}, SIAM J. Numer. Anal. 33, No. 1, 171--207 (1996; Zbl 0846.73059) Full Text: DOI OpenURL
Carstensen, Carsten; Stephan, Ernst P. Interface problems in elasto-viscoplasticity. (English) Zbl 0840.73023 Q. Appl. Math. 53, No. 4, 633-655 (1995). MSC: 74C10 74B20 65N30 65R20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{E. P. Stephan}, Q. Appl. Math. 53, No. 4, 633--655 (1995; Zbl 0840.73023) Full Text: DOI OpenURL
Carstensen, Carsten Interface problems in viscoplasticity and plasticity. (English) Zbl 0808.73024 SIAM J. Math. Anal. 25, No. 6, 1468-1487 (1994). MSC: 74C10 74B99 74S30 74P10 74H99 PDF BibTeX XML Cite \textit{C. Carstensen}, SIAM J. Math. Anal. 25, No. 6, 1468--1487 (1994; Zbl 0808.73024) Full Text: DOI OpenURL
Carstensen, Carsten Interface problem in holonomic elastoplasticity. (English) Zbl 0792.73017 Math. Methods Appl. Sci. 16, No. 11, 819-835 (1993). MSC: 74B20 74C99 35Q72 74S15 74S05 PDF BibTeX XML Cite \textit{C. Carstensen}, Math. Methods Appl. Sci. 16, No. 11, 819--835 (1993; Zbl 0792.73017) Full Text: DOI Link OpenURL