## Knees, Dorothee

Compute Distance To:
 Author ID: knees.dorothee Published as: Knees, Dorothee
 Documents Indexed: 29 Publications since 2003 2 Contributions as Editor Co-Authors: 24 Co-Authors with 21 Joint Publications 644 Co-Co-Authors
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### Co-Authors

 9 single-authored 7 Zanini, Chiara 5 Mielke, Alexander 3 Rossi, Riccarda 2 Fiaschi, Alice 2 Hanke, Hauke 2 Rehberg, Joachim 2 Schroder, Andreas 2 Thomas, Marita 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 Neff, Patrizio 1 Negri, Matteo 1 Nesenenko, Sergiy 1 Rachinskii, Dmitrii I. 1 Reichelt, Sina 1 Rocca, Elisabetta 1 Sändig, Anna-Margarete 1 Stefanelli, Ulisse 1 Valdinoci, Enrico
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### 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 Asymptotic Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 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 GAMM-Mitteilungen 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of Physics. Conference Series
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### Fields

 26 Mechanics of deformable solids (74-XX) 22 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 1 Functional analysis (46-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 348 times in 220 Documents Cited by Year
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
2008
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2013
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
2010
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
2008
A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains. Zbl 1330.35438
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2015
Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints. Zbl 1255.35068
Knees, Dorothee; Schröder, Andreas
2012
Convergence of alternate minimization schemes for phase-field fracture and damage. Zbl 1376.49038
Knees, Dorothee; Negri, Matteo
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
2016
Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity. Zbl 1193.35224
Neff, Patrizio; Knees, Dorothee
2008
On the regularity of weak solutions of quasi-linear elliptic transmission problems on polyhedral domains. Zbl 1214.35010
Knees, Dorothee
2004
Global stress regularity of convex and some nonconvex variational problems. Zbl 1206.49039
Knees, Dorothee
2008
Computational aspects of quasi-static crack propagation. Zbl 1263.74042
Knees, Dorothee; Schröder, Andreas
2013
Global regularity of the elastic fields of a power-law model on Lipschitz domains. Zbl 1191.74015
Knees, Dorothee
2006
Young-measure quasi-static damage evolution. Zbl 1281.74005
Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse
2012
Griffith-formula and $$J$$-integral for a crack in a power-law hardening material. Zbl 1121.74053
Knees, Dorothee
2006
Convergence analysis of time-discretisation schemes for rate-independent systems. Zbl 1437.49009
Knees, Dorothee
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2019
On global spatial regularity and convergence rates for time-dependent elasto-plasticity. Zbl 1207.35083
Knees, Dorothee
2010
Regularity of elastic fields in composites. Zbl 1298.74014
Knees, Dorothee; Sändig, Anna-Margarete
2006
On global spatial regularity in elasto-plasticity with linear hardening. Zbl 1179.35086
Knees, Dorothee
2009
Global higher integrability of minimizers of variational problems with mixed boundary conditions. Zbl 1259.49058
Fiaschi, Alice; Knees, Dorothee; Reichelt, Sina
2013
A phase-field damage model based on evolving microstructure. Zbl 1367.35025
Hanke, Hauke; Knees, Dorothee
2017
Analytical and numerical aspects of time-dependent models with internal variables. Zbl 1380.74020
Gruber, Peter G.; Knees, Dorothee; Nesenenko, Sergiy; Thomas, Marita
2010
Regularity results for transmission problems of linear elasticity on polyhedral domains. Zbl 1062.74005
Knees, Dorothee
2003
Homogenization of elliptic systems with non-periodic, state-dependent coefficients. Zbl 1332.35027
Hanke, Hauke; Knees, Dorothee
2015
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Zbl 1458.35439
Knees, Dorothee; Zanini, Chiara
2021
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Zbl 1458.35439
Knees, Dorothee; Zanini, Chiara
2021
Convergence analysis of time-discretisation schemes for rate-independent systems. Zbl 1437.49009
Knees, Dorothee
2019
Balanced viscosity solutions to a rate-independent system for damage. Zbl 1407.35193
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2019
Convergence of alternate minimization schemes for phase-field fracture and damage. Zbl 1376.49038
Knees, Dorothee; Negri, Matteo
2017
A phase-field damage model based on evolving microstructure. Zbl 1367.35025
Hanke, Hauke; Knees, Dorothee
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
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
2015
Homogenization of elliptic systems with non-periodic, state-dependent coefficients. Zbl 1332.35027
Hanke, Hauke; Knees, Dorothee
2015
A vanishing viscosity approach to a rate-independent damage model. Zbl 1262.74030
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara
2013
Computational aspects of quasi-static crack propagation. Zbl 1263.74042
Knees, Dorothee; Schröder, Andreas
2013
Global higher integrability of minimizers of variational problems with mixed boundary conditions. Zbl 1259.49058
Fiaschi, Alice; Knees, Dorothee; Reichelt, Sina
2013
Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints. Zbl 1255.35068
Knees, Dorothee; Schröder, Andreas
2012
Young-measure quasi-static damage evolution. Zbl 1281.74005
Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse
2012
Crack growth in polyconvex materials. Zbl 1201.49013
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
2010
On global spatial regularity and convergence rates for time-dependent elasto-plasticity. Zbl 1207.35083
Knees, Dorothee
2010
Analytical and numerical aspects of time-dependent models with internal variables. Zbl 1380.74020
Gruber, Peter G.; Knees, Dorothee; Nesenenko, Sergiy; Thomas, Marita
2010
On global spatial regularity in elasto-plasticity with linear hardening. Zbl 1179.35086
Knees, Dorothee
2009
On the inviscid limit of a model for crack propagation. Zbl 1151.49014
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
2008
Energy release rate for cracks in finite-strain elasticity. Zbl 1132.74038
Knees, Dorothee; Mielke, Alexander
2008
Regularity up to the boundary for nonlinear elliptic systems arising in time-incremental infinitesimal elasto-plasticity. Zbl 1193.35224
Neff, Patrizio; Knees, Dorothee
2008
Global stress regularity of convex and some nonconvex variational problems. Zbl 1206.49039
Knees, Dorothee
2008
Global regularity of the elastic fields of a power-law model on Lipschitz domains. Zbl 1191.74015
Knees, Dorothee
2006
Griffith-formula and $$J$$-integral for a crack in a power-law hardening material. Zbl 1121.74053
Knees, Dorothee
2006
Regularity of elastic fields in composites. Zbl 1298.74014
Knees, Dorothee; Sändig, Anna-Margarete
2006
On the regularity of weak solutions of quasi-linear elliptic transmission problems on polyhedral domains. Zbl 1214.35010
Knees, Dorothee
2004
Regularity results for transmission problems of linear elasticity on polyhedral domains. Zbl 1062.74005
Knees, Dorothee
2003
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### Cited by 221 Authors

 18 Rossi, Riccarda 16 Knees, Dorothee 12 Negri, Matteo 11 Roubíček, Tomáš 11 Zanini, Chiara 9 Heinemann, Christian 9 Khludnev, Aleksandr Mikhaĭlovich 9 Lazzaroni, Giuliano 8 Crismale, Vito 7 Almi, Stefano 7 De Miranda, Luís H. 7 Kraus, Christiane 7 Lazarev, Nyurgun Petrovich 7 Mielke, Alexander 7 Neff, Patrizio 7 Rehberg, Joachim 7 Thomas, Marita 5 Haller-Dintelmann, Robert 4 Belz, Sandro 4 Eleuteri, Michela 4 Kaiser, Hans-Christoph 4 Kopfová, Jana 4 Neitzel, Ira 4 Owczarek, Sebastian 4 Rocca, Elisabetta 4 Savaré, Giuseppe 4 Scala, Riccardo 4 Shcherbakov, Viktor Viktorovich 3 Akagi, Goro 3 Carstensen, Carsten 3 Chełmiński, Krzysztof 3 Nardini, Lorenzo 3 Neukamm, Stefan 3 Orlando, Gianluca 3 Panagiotopoulos, Christos G. 3 Planas, Gabriela 3 Popova, Tatiana Semenovna 3 Rudoy, Evgeny Mikhailovich 3 Schroder, Andreas 3 Stefanelli, Ulisse 3 Toader, Rodica 3 Wollner, Winnifried 2 Alessi, Roberto 2 Amstutz, Samuel 2 Boldrini, José Luiz 2 Bonetti, Elena 2 Borsuk, Mikhail V. 2 Chambolle, Antonin 2 Dal Maso, Gianni 2 Davoli, Elisa 2 Disser, Karoline 2 Egert, Moritz 2 Freddi, Lorenzo 2 Ghiba, Ionel-Dumitrel 2 Glitzky, Annegret 2 Itou, Hiromichi 2 Kamiński, Przemyslaw 2 Kimura, Masato 2 Kohr, Mirela 2 Krejčí, Pavel 2 Kružík, Martin 2 Liero, Matthias 2 Mantič, Vladislav 2 Minotti, Luca 2 da Silva Montenegro, Marcelo 2 Novotny, Antonio André 2 Ortiz, Michael 2 Pandolfi, Anna 2 Rindler, Filip 2 Schwarzacher, Sebastian 2 Specovius-Neugebauer, Maria Ursula 2 Susu, Livia Mihaela 2 Tolksdorf, Patrick 2 Truskinovsky, Lev 2 Varga, Mario 2 Wendland, Wolfgang L. 2 Wick, Thomas 1 Allaire, Grégoire 1 Altenbach, Holm 1 Altenbach, Johannes 1 Artina, Marco 1 Babadjian, Jean-François 1 Banz, Lothar 1 Barroso, Alberto 1 Bartels, Sören 1 Bechtel, Sebastian 1 Bertram, Albrecht 1 Betz, Livia M. 1 Betz, Thomas 1 Bonacini, Marco 1 Bonaschi, Giovanni A. 1 Bonifacius, Lucas 1 Brasco, Lorenzo 1 Bredies, Kristian 1 Brokate, Martin 1 Bulíček, Miroslav 1 Cagnetti, Filippo 1 Carbonaro, Andrea 1 Carlier, Guillaume 1 Choi, Jongkeun ...and 121 more Authors
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### Cited in 83 Serials

 18 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Archive for Rational Mechanics and Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Computer Methods in Applied Mechanics and Engineering 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 SIAM Journal on Mathematical Analysis 7 NoDEA. Nonlinear Differential Equations and Applications 7 Nonlinear Analysis. Real World Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Differential Equations 6 Calculus of Variations and Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Nonlinear Science 4 Continuum Mechanics and Thermodynamics 4 Mathematics and Mechanics of Solids 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Advances in Calculus of Variations 3 Mathematische Nachrichten 3 SIAM Journal on Control and Optimization 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Dynamics and Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GAMM-Mitteilungen 2 Computers & Mathematics with Applications 2 SIAM Journal on Numerical Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 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 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 1 Acta Mechanica 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 Functional Analysis and its Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Siberian Mathematical Journal 1 Physica D 1 Computational Mechanics 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 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 Mathematical Control and Related Fields 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 SMAI Journal of Computational Mathematics
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### Cited in 20 Fields

 157 Mechanics of deformable solids (74-XX) 142 Partial differential equations (35-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 23 Numerical analysis (65-XX) 12 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)