Edit Profile (opens in new tab) Knees, Dorothee Co-Author Distance Author ID: knees.dorothee Published as: Knees, Dorothee Documents Indexed: 35 Publications since 2003, including 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 35 Co-Authors with 29 Joint Publications 952 Co-Co-Authors all top 5 Co-Authors 9 single-authored 7 Zanini, Chiara 5 Mielke, Alexander 3 Meyer, Christian 3 Neff, Patrizio 3 Rossi, Riccarda 2 Fiaschi, Alice 2 Hanke, Hauke 2 Herzog, Roland 2 Owczarek, Sebastian 2 Rehberg, Joachim 2 Schroder, Andreas 2 Sievers, Michael 2 Thomas, Marita 2 Thomas, Stephanie M. 1 Boddin, Samira 1 Dimian, Mihai 1 Gruber, Peter Günther 1 Gurevich, Pavel L. 1 Haller-Dintelmann, Robert 1 Jonsson, Alf 1 Kaiser, Hans-Christoph 1 Klein, Olaf 1 Mosler, Jörn 1 Negri, Matteo 1 Nesenenko, Sergiy 1 Rachinskii, Dmitrii I. 1 Reichelt, Sina 1 Rocca, Elisabetta 1 Rörentrop, Felix 1 Sändig, Anna-Margarete 1 Shcherbakov, Viktor Viktorovich 1 Stefanelli, Ulisse 1 Stötzner, Ailyn 1 Tikhomirov, Sergey B. 1 Valdinoci, Enrico all top 5 Serials 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Mathematical Methods in the Applied Sciences 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematical Analysis and Applications 2 Asymptotic Analysis 2 GAMM-Mitteilungen 1 Archive for Rational Mechanics and Analysis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Pure and Applied Functional Analysis 1 Journal of Physics. Conference Series all top 5 Fields 33 Mechanics of deformable solids (74-XX) 27 Partial differential equations (35-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 443 times in 268 Documents Cited by ▼ Year ▼ A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 78 2013 On the inviscid limit of a model for crack propagation. Zbl 1151.49014 Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 67 2008 Crack growth in polyconvex materials. Zbl 1201.49013 Knees, Dorothee; Zanini, Chiara; Mielke, Alexander 29 2010 A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains. Zbl 1330.35438 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 28 2015 Convergence of alternate minimization schemes for phase-field fracture and damage. Zbl 1376.49038 Knees, Dorothee; Negri, Matteo 27 2017 Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints. Zbl 1255.35068 Knees, Dorothee; Schröder, Andreas 27 2012 Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038 Knees, Dorothee; Mielke, Alexander 25 2008 Elliptic and parabolic regularity for second-order divergence operators with mixed boundary conditions. Zbl 1368.35054 Haller-Dintelmann, Robert; Jonsson, Alf; Knees, Dorothee; Rehberg, Joachim 23 2016 Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity. Zbl 1193.35224 Neff, Patrizio; Knees, Dorothee 19 2008 On the regularity of weak solutions of quasi-linear elliptic transmission problems on polyhedral domains. Zbl 1214.35010 Knees, Dorothee 12 2004 Global stress regularity of convex and some nonconvex variational problems. Zbl 1206.49039 Knees, Dorothee 12 2008 Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 12 2019 Computational aspects of quasi-static crack propagation. Zbl 1263.74042 Knees, Dorothee; Schröder, Andreas 12 2013 Convergence analysis of time-discretisation schemes for rate-independent systems. Zbl 1437.49009 Knees, Dorothee 11 2019 Global regularity of the elastic fields of a power-law model on Lipschitz domains. Zbl 1191.74015 Knees, Dorothee 10 2006 Griffith-formula and \(J\)-integral for a crack in a power-law hardening material. Zbl 1121.74053 Knees, Dorothee 8 2006 Young-measure quasi-static damage evolution. Zbl 1281.74005 Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse 8 2012 On global spatial regularity and convergence rates for time-dependent elasto-plasticity. Zbl 1207.35083 Knees, Dorothee 7 2010 Regularity of elastic fields in composites. Zbl 1298.74014 Knees, Dorothee; Sändig, Anna-Margarete 6 2006 On global spatial regularity in elasto-plasticity with linear hardening. Zbl 1179.35086 Knees, Dorothee 5 2009 Global higher integrability of minimizers of variational problems with mixed boundary conditions. Zbl 1259.49058 Fiaschi, Alice; Knees, Dorothee; Reichelt, Sina 4 2013 A local regularity result for the relaxed micromorphic model based on inner variations. Zbl 1503.35219 Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio 3 2023 Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Zbl 1458.35439 Knees, Dorothee; Zanini, Chiara 3 2021 A phase-field damage model based on evolving microstructure. Zbl 1367.35025 Hanke, Hauke; Knees, Dorothee 2 2017 Analytical and numerical aspects of time-dependent models with internal variables. Zbl 1380.74020 Gruber, Peter G.; Knees, Dorothee; Nesenenko, Sergiy; Thomas, Marita 2 2010 Regularity results for transmission problems of linear elasticity on polyhedral domains. Zbl 1062.74005 Knees, Dorothee 1 2003 Homogenization of elliptic systems with non-periodic, state-dependent coefficients. Zbl 1332.35027 Hanke, Hauke; Knees, Dorothee 1 2015 Optimal control of a rate-independent system constrained to parametrized balanced viscosity solutions. Zbl 1512.49004 Knees, Dorothee; Thomas, Stephanie 1 2023 A local regularity result for the relaxed micromorphic model based on inner variations. Zbl 1503.35219 Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio 3 2023 Optimal control of a rate-independent system constrained to parametrized balanced viscosity solutions. Zbl 1512.49004 Knees, Dorothee; Thomas, Stephanie 1 2023 Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Zbl 1458.35439 Knees, Dorothee; Zanini, Chiara 3 2021 Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 12 2019 Convergence analysis of time-discretisation schemes for rate-independent systems. Zbl 1437.49009 Knees, Dorothee 11 2019 Convergence of alternate minimization schemes for phase-field fracture and damage. Zbl 1376.49038 Knees, Dorothee; Negri, Matteo 27 2017 A phase-field damage model based on evolving microstructure. Zbl 1367.35025 Hanke, Hauke; Knees, Dorothee 2 2017 Elliptic and parabolic regularity for second-order divergence operators with mixed boundary conditions. Zbl 1368.35054 Haller-Dintelmann, Robert; Jonsson, Alf; Knees, Dorothee; Rehberg, Joachim 23 2016 A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains. Zbl 1330.35438 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 28 2015 Homogenization of elliptic systems with non-periodic, state-dependent coefficients. Zbl 1332.35027 Hanke, Hauke; Knees, Dorothee 1 2015 A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030 Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara 78 2013 Computational aspects of quasi-static crack propagation. Zbl 1263.74042 Knees, Dorothee; Schröder, Andreas 12 2013 Global higher integrability of minimizers of variational problems with mixed boundary conditions. Zbl 1259.49058 Fiaschi, Alice; Knees, Dorothee; Reichelt, Sina 4 2013 Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints. Zbl 1255.35068 Knees, Dorothee; Schröder, Andreas 27 2012 Young-measure quasi-static damage evolution. Zbl 1281.74005 Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse 8 2012 Crack growth in polyconvex materials. Zbl 1201.49013 Knees, Dorothee; Zanini, Chiara; Mielke, Alexander 29 2010 On global spatial regularity and convergence rates for time-dependent elasto-plasticity. Zbl 1207.35083 Knees, Dorothee 7 2010 Analytical and numerical aspects of time-dependent models with internal variables. Zbl 1380.74020 Gruber, Peter G.; Knees, Dorothee; Nesenenko, Sergiy; Thomas, Marita 2 2010 On global spatial regularity in elasto-plasticity with linear hardening. Zbl 1179.35086 Knees, Dorothee 5 2009 On the inviscid limit of a model for crack propagation. Zbl 1151.49014 Knees, Dorothee; Mielke, Alexander; Zanini, Chiara 67 2008 Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038 Knees, Dorothee; Mielke, Alexander 25 2008 Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity. Zbl 1193.35224 Neff, Patrizio; Knees, Dorothee 19 2008 Global stress regularity of convex and some nonconvex variational problems. Zbl 1206.49039 Knees, Dorothee 12 2008 Global regularity of the elastic fields of a power-law model on Lipschitz domains. Zbl 1191.74015 Knees, Dorothee 10 2006 Griffith-formula and \(J\)-integral for a crack in a power-law hardening material. Zbl 1121.74053 Knees, Dorothee 8 2006 Regularity of elastic fields in composites. Zbl 1298.74014 Knees, Dorothee; Sändig, Anna-Margarete 6 2006 On the regularity of weak solutions of quasi-linear elliptic transmission problems on polyhedral domains. Zbl 1214.35010 Knees, Dorothee 12 2004 Regularity results for transmission problems of linear elasticity on polyhedral domains. Zbl 1062.74005 Knees, Dorothee 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 269 Authors 21 Rossi, Riccarda 19 Knees, Dorothee 12 Negri, Matteo 11 Crismale, Vito 11 Lazarev, Nyurgun Petrovich 11 Lazzaroni, Giuliano 11 Neff, Patrizio 11 Roubíček, Tomáš 11 Zanini, Chiara 10 Thomas, Marita 9 Heinemann, Christian 9 Khludnev, Aleksandr Mikhaĭlovich 9 Mielke, Alexander 8 Almi, Stefano 7 De Miranda, Luís H. 7 Kraus, Christiane 7 Rehberg, Joachim 6 Neitzel, Ira 6 Shcherbakov, Viktor Viktorovich 5 Akagi, Goro 5 Haller-Dintelmann, Robert 5 Owczarek, Sebastian 5 Scala, Riccardo 4 Belz, Sandro 4 Eleuteri, Michela 4 Kaiser, Hans-Christoph 4 Kopfová, Jana 4 Orlando, Gianluca 4 Rocca, Elisabetta 4 Rudoy, Evgeny Mikhailovich 4 Savaré, Giuseppe 4 Schroder, Andreas 4 Stefanelli, Ulisse 4 Wick, Thomas 4 Wollner, Winnifried 3 Carstensen, Carsten 3 Chełmiński, Krzysztof 3 Dondl, Patrick Werner 3 Egert, Moritz 3 Kohr, Mirela 3 Nardini, Lorenzo 3 Neukamm, Stefan 3 Ortiz, Michael 3 Panagiotopoulos, Christos G. 3 Planas, Gabriela 3 Popova, Tatiana Semenovna 3 Sievers, Michael 3 Toader, Rodica 3 Weinberg, Kerstin 3 Wendland, Wolfgang L. 2 Alessi, Roberto 2 Amstutz, Samuel 2 Bartels, Sören 2 Betz, Livia M. 2 Bilgen, Carola 2 Boldrini, José Luiz 2 Bonetti, Elena 2 Borsuk, Mikhail V. 2 Chambolle, Antonin 2 Courte, Luca 2 Dal Maso, Gianni 2 Davoli, Elisa 2 Disser, Karoline 2 Dolzmann, Georg 2 Fankina, Irina Vladimirovna 2 Fedotov, Egor Dmitrievich 2 Freddi, Lorenzo 2 Ghiba, Ionel-Dumitrel 2 Glitzky, Annegret 2 Hehl, Andreas 2 Hoppe, Fabian 2 Itou, Hiromichi 2 Kamiński, Przemyslaw 2 Khimin, Denis 2 Kimura, Masato 2 Kovtunenko, Viktor Anatolievich 2 Krejčí, Pavel 2 Kružík, Martin 2 Liero, Matthias 2 Lucardesi, Ilaria 2 Mantič, Vladislav 2 Meyer, Christian 2 Mikhailov, Sergey E. 2 Minotti, Luca 2 Mohammadi, Masoumeh 2 da Silva Montenegro, Marcelo 2 Nesenenko, Sergiy 2 Novotny, Antonio André 2 Pandolfi, Anna 2 Rindler, Filip 2 Schwarzacher, Sebastian 2 Semenova, Galina Mikhaĭlovna 2 Solombrino, Francesco 2 Specovius-Neugebauer, Maria Ursula 2 Steinbach, Marc Christian 2 Susu, Livia Mihaela 2 Thomas, Stephanie M. 2 Tolksdorf, Patrick 2 Tornquist, Sven 2 Truskinovsky, Lev ...and 169 more Authors all top 5 Cited in 93 Serials 18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Archive for Rational Mechanics and Analysis 9 Journal of Mathematical Analysis and Applications 8 Computer Methods in Applied Mechanics and Engineering 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Nonlinear Analysis. Real World Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 7 Calculus of Variations and Partial Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 6 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Methods in the Applied Sciences 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Continuum Mechanics and Thermodynamics 5 Advances in Calculus of Variations 4 SIAM Journal on Control and Optimization 4 Journal of Nonlinear Science 4 Mathematics and Mechanics of Solids 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 GAMM-Mitteilungen 3 Applicable Analysis 3 Mathematische Nachrichten 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 European Journal of Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Engineering 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Numerical Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Computational Mechanics 2 Applied Mathematics Letters 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Archive of Applied Mechanics 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Journal of Evolution Equations 2 Oberwolfach Reports 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Mathematical Control and Related Fields 2 Mathematics in Engineering 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 Functional Analysis and its Applications 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Physica D 1 Optimization 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Optimization 1 Journal of Mathematical Sciences (New York) 1 Engineering Analysis with Boundary Elements 1 The Journal of Fourier Analysis and Applications 1 Computing and Visualization in Science 1 Journal of Inequalities and Applications 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Structural and Multidisciplinary Optimization 1 Analysis and Applications (Singapore) 1 Mathematical Modelling of Natural Phenomena 1 Eurasian Mathematical Journal 1 Dynamic Games and Applications 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Bollettino dell’Unione Matematica Italiana 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 SMAI Journal of Computational Mathematics all top 5 Cited in 24 Fields 194 Mechanics of deformable solids (74-XX) 169 Partial differential equations (35-XX) 107 Calculus of variations and optimal control; optimization (49-XX) 33 Numerical analysis (65-XX) 14 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year