The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Alexander Mielke , Michael Ortiz
ESAIM: COCV, 14 3 (2008) 494-516
Published online: 2007-12-21
This article has been cited by the following article(s):
66 articles
The weighted Inertia-Energy-Dissipation principle
Ulisse Stefanelli Mathematical Models and Methods in Applied Sciences 35 (02) 223 (2025) https://doi.org/10.1142/S0218202525400019
Weighted inertia-dissipation-energy approach to doubly nonlinear wave equations
Goro Akagi, Verena Bögelein, Alice Marveggio and Ulisse Stefanelli Journal of Functional Analysis 289 (8) 111067 (2025) https://doi.org/10.1016/j.jfa.2025.111067
A variational approach to the Navier–Stokes equations with shear-dependent viscosity
Christina Lienstromberg, Stefan Schiffer and Richard Schubert Advances in Calculus of Variations 18 (3) 843 (2025) https://doi.org/10.1515/acv-2024-0099
Optimal control of gradient flows via the Weighted Energy-Dissipation method
Takeshi Fukao, Ulisse Stefanelli and Riccardo Voso Journal of Evolution Equations 25 (2) (2025) https://doi.org/10.1007/s00028-025-01086-6
Weighted energy-dissipation approach to semilinear gradient flows with state-dependent dissipation
Goro Akagi, Ulisse Stefanelli and Riccardo Voso Journal of Differential Equations 440 113431 (2025) https://doi.org/10.1016/j.jde.2025.113431
A charge-preserving method for solving graph neural diffusion networks
Lidia Aceto and Pietro Antonio Grassi Communications in Nonlinear Science and Numerical Simulation 140 108392 (2025) https://doi.org/10.1016/j.cnsns.2024.108392
Homogenization based heating control for moist paperboard with evaporation on the pore surface
Julia Orlik, Viacheslav Khilkov, Stefan Rief and Heiko Andrä ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 104 (3) (2024) https://doi.org/10.1002/zamm.202300673
Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs
Ryan Hynd Contemporary Mathematics, Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs 781 49 (2023) https://doi.org/10.1090/conm/781/15709
Generalized Orlicz spaces of Banach-valued functions: Basic theory and duality
Thomas Ruf Journal of Functional Analysis 285 (5) 109996 (2023) https://doi.org/10.1016/j.jfa.2023.109996
Simulation of crack propagation through voxel-based, heterogeneous structures based on eigenerosion and finite cells
Dennis Wingender and Daniel Balzani Computational Mechanics 70 (2) 385 (2022) https://doi.org/10.1007/s00466-022-02172-z
Simulation of crack propagation based on eigenerosion in brittle and ductile materials subject to finite strains
Dennis Wingender and Daniel Balzani Archive of Applied Mechanics 92 (4) 1199 (2022) https://doi.org/10.1007/s00419-021-02101-1
On the p-Laplacian evolution equation in metric measure spaces
Wojciech Górny and José M. Mazón Journal of Functional Analysis 283 (8) 109621 (2022) https://doi.org/10.1016/j.jfa.2022.109621
Variational resolution of outflow boundary conditions for incompressible Navier–Stokes
Michal Bathory and Ulisse Stefanelli Nonlinearity 35 (11) 5553 (2022) https://doi.org/10.1088/1361-6544/ac8fd8
Stochastic PDEs via convex minimization
Luca Scarpa and Ulisse Stefanelli Communications in Partial Differential Equations 46 (1) 66 (2021) https://doi.org/10.1080/03605302.2020.1831017
A non-incremental approach for elastoplastic plates basing on the Brezis-Ekeland-Nayroles principle
Xiaodan Cao, Abdelbacet Oueslati and Géry de Saxcé Applied Mathematical Modelling 99 359 (2021) https://doi.org/10.1016/j.apm.2021.06.028
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra and Paolo Tilli Communications in Partial Differential Equations 46 (12) 2268 (2021) https://doi.org/10.1080/03605302.2021.1931884
Numerical simulation of elastoplastic problems by Brezis–Ekeland–Nayroles non-incremental variational principle
Xiaodan Cao, Abdelbacet Oueslati, An Danh Nguyen and Géry de Saxcé Computational Mechanics 65 (4) 1005 (2020) https://doi.org/10.1007/s00466-019-01805-0
Partial Regularity for Type Two Doubly Nonlinear Parabolic Systems
Ryan Hynd Archive for Rational Mechanics and Analysis 231 (1) 591 (2019) https://doi.org/10.1007/s00205-018-1286-5
Numerical modeling of compressive failure mechanisms in ceramic materials at high strain rates
Hao Jiang, Fan Jiang, Dianyin Hu, et al. Computer Methods in Applied Mechanics and Engineering 347 806 (2019) https://doi.org/10.1016/j.cma.2019.01.006
Model-Free Data-Driven inelasticity
R. Eggersmann, T. Kirchdoerfer, S. Reese, L. Stainier and M. Ortiz Computer Methods in Applied Mechanics and Engineering 350 81 (2019) https://doi.org/10.1016/j.cma.2019.02.016
Weighted Energy-Dissipation principle for gradient flows in metric spaces
Riccarda Rossi, Giuseppe Savaré, Antonio Segatti and Ulisse Stefanelli Journal de Mathématiques Pures et Appliquées 127 1 (2019) https://doi.org/10.1016/j.matpur.2018.06.022
Dynamic Perfect Plasticity as Convex Minimization
Elisa Davoli and Ulisse Stefanelli SIAM Journal on Mathematical Analysis 51 (2) 672 (2019) https://doi.org/10.1137/17M1148864
Micromechanical Studies of Strain Rate Dependent Compressive Strength in Brittle Polycrystalline Materials
Hao Jiang, Zongyue Fan, Jian Lu and Bo Li International Journal of Computational Methods 16 (04) 1844011 (2019) https://doi.org/10.1142/S0219876218440115
Weighted Energy-Dissipation approach to doubly nonlinear problems on the half line
Goro Akagi, Stefano Melchionna and Ulisse Stefanelli Journal of Evolution Equations 18 (1) 49 (2018) https://doi.org/10.1007/s00028-017-0390-6
A variational approach to Navier–Stokes
Michael Ortiz, Bernd Schmidt and Ulisse Stefanelli Nonlinearity 31 (12) 5664 (2018) https://doi.org/10.1088/1361-6544/aae722
A variational principle for nonpotential perturbations of gradient flows of nonconvex energies
Stefano Melchionna Journal of Differential Equations 262 (6) 3737 (2017) https://doi.org/10.1016/j.jde.2016.12.002
A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations
Stefano Melchionna Journal of Mathematical Analysis and Applications 456 (2) 1303 (2017) https://doi.org/10.1016/j.jmaa.2017.07.052
Michal Beneš 1738 480023 (2016) https://doi.org/10.1063/1.4952259
Continuum dynamics of the formation, migration and dissociation of self-locked dislocation structures on parallel slip planes
Yichao Zhu, Xiaohua Niu and Yang Xiang Journal of the Mechanics and Physics of Solids 96 369 (2016) https://doi.org/10.1016/j.jmps.2016.08.003
Rate-Independent Systems
Alexander Mielke and Tomàš Roubíček Applied Mathematical Sciences, Rate-Independent Systems 193 45 (2015) https://doi.org/10.1007/978-1-4939-2706-7_2
Analysis and Computation of Microstructure in Finite Plasticity
Alexander Mielke Lecture Notes in Applied and Computational Mechanics, Analysis and Computation of Microstructure in Finite Plasticity 78 125 (2015) https://doi.org/10.1007/978-3-319-18242-1_5
Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves
Pablo Mata and Adrian J. Lew Journal of Computational Physics 257 1423 (2014) https://doi.org/10.1016/j.jcp.2013.09.030
Microstructural pattern formation in finite-deformation single-slip crystal plasticity under cyclic loading: Relaxation vs. gradient plasticity
Benjamin Klusemann and Dennis M. Kochmann Computer Methods in Applied Mechanics and Engineering 278 765 (2014) https://doi.org/10.1016/j.cma.2014.05.015
A micro-mechanically based continuum model for strain-induced crystallization in natural rubber
Sunny J. Mistry and Sanjay Govindjee International Journal of Solids and Structures 51 (2) 530 (2014) https://doi.org/10.1016/j.ijsolstr.2013.10.027
Existence of evolutionary variational solutions via the calculus of variations
Verena Bögelein, Frank Duzaar and Paolo Marcellini Journal of Differential Equations 256 (12) 3912 (2014) https://doi.org/10.1016/j.jde.2014.03.005
Fracture Phenomena in Nature and Technology
A. Pandolfi, B. Li and M. Ortiz Fracture Phenomena in Nature and Technology 3 (2014) https://doi.org/10.1007/978-3-319-04397-5_2
Plasticity and Beyond
Klaus Hackl, Ulrich Hoppe and Dennis M. Kochmann CISM International Centre for Mechanical Sciences, Plasticity and Beyond 550 65 (2014) https://doi.org/10.1007/978-3-7091-1625-8_2
Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation
Landry Fokoua, Sergio Conti and Michael Ortiz Archive for Rational Mechanics and Analysis 212 (1) 331 (2014) https://doi.org/10.1007/s00205-013-0687-8
Doubly Nonlinear Equations as Convex Minimization
Goro Akagi and Ulisse Stefanelli SIAM Journal on Mathematical Analysis 46 (3) 1922 (2014) https://doi.org/10.1137/13091909X
Mechanics of Masonry Structures
Maurizio Angelillo CISM International Centre for Mechanical Sciences, Mechanics of Masonry Structures 551 109 (2014) https://doi.org/10.1007/978-3-7091-1774-3_4
Advances in Applied Mechanics
Laurent Stainier Advances in Applied Mechanics 46 69 (2013) https://doi.org/10.1016/B978-0-12-396522-6.00002-5
A New Minimum Principle for Lagrangian Mechanics
Matthias Liero and Ulisse Stefanelli Journal of Nonlinear Science 23 (2) 179 (2013) https://doi.org/10.1007/s00332-012-9148-z
Modeling fracture by material-point erosion
A. Pandolfi, B. Li and M. Ortiz International Journal of Fracture 184 (1-2) 3 (2013) https://doi.org/10.1007/s10704-012-9788-x
A variational principle for gradient flows in metric spaces
Riccarda Rossi, Giuseppe Savaré, Antonio Segatti and Ulisse Stefanelli Comptes Rendus. Mathématique 349 (23-24) 1225 (2011) https://doi.org/10.1016/j.crma.2011.11.002
A variational view at the time-dependent minimal surface equation
Emanuele Spadaro and Ulisse Stefanelli Journal of Evolution Equations 11 (4) 793 (2011) https://doi.org/10.1007/s00028-011-0111-5
On the Structural Shape Optimization through Variational Methods and Evolutionary Algorithms
Fernando Fraternali, Andrea Marino, Tamer El Sayed and Antonio Della Cioppa Mechanics of Advanced Materials and Structures 18 (4) 225 (2011) https://doi.org/10.1080/15376494.2010.483319
THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION
ULISSE STEFANELLI Mathematical Models and Methods in Applied Sciences 21 (06) 1377 (2011) https://doi.org/10.1142/S0218202511005350
Weighted energy-dissipation functionals for doubly nonlinear evolution
Goro Akagi and Ulisse Stefanelli Journal of Functional Analysis 260 (9) 2541 (2011) https://doi.org/10.1016/j.jfa.2010.12.027
Nonlinear PDE’s and Applications
Alexander Mielke Lecture Notes in Mathematics, Nonlinear PDE’s and Applications 2028 87 (2011) https://doi.org/10.1007/978-3-642-21861-3_3
Weighted energy-dissipation functionals for gradient flows
Alexander Mielke and Ulisse Stefanelli ESAIM: Control, Optimisation and Calculus of Variations 17 (1) 52 (2011) https://doi.org/10.1051/cocv/2009043
A variational principle for doubly nonlinear evolution
Goro Akagi and Ulisse Stefanelli Applied Mathematics Letters 23 (9) 1120 (2010) https://doi.org/10.1016/j.aml.2010.04.047
A comparative analysis on variational models for quasi-static brittle crack propagation
Matteo Negri Advances in Calculus of Variations 3 (2) (2010) https://doi.org/10.1515/acv.2010.008
Multiscale Methods in Computational Mechanics
Klaus Hackl and Dennis M. Kochmann Lecture Notes in Applied and Computational Mechanics, Multiscale Methods in Computational Mechanics 55 117 (2010) https://doi.org/10.1007/978-90-481-9809-2_7
A comparative analysis on variational models for quasi-static brittle crack propagation
Matteo Negri Advances in Calculus of Variations 3 (2) 149 (2010) https://doi.org/10.1515/ACV.2010.008
A numerical model for masonry-like structures
Maurizio Angelillo, Luca Cardamone and Antonio Fortunato Journal of Mechanics of Materials and Structures 5 (4) 583 (2010) https://doi.org/10.2140/jomms.2010.5.583
Florian Theil, Tim Sullivan, Marisol Koslovski and Michael Ortiz 21 261 (2010) https://doi.org/10.1007/978-90-481-9195-6_20
IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials
Dennis M. Kochmann and Klaus Hackl IUTAM Bookseries, IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials 21 117 (2010) https://doi.org/10.1007/978-90-481-9195-6_9
Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
Tomáš Roubíček SIAM Journal on Mathematical Analysis 42 (1) 256 (2010) https://doi.org/10.1137/080729992
On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep
T. Sullivan, M. Koslowski, F. Theil and M. Ortiz Journal of the Mechanics and Physics of Solids 57 (7) 1058 (2009) https://doi.org/10.1016/j.jmps.2009.03.006
Eigenfracture: An Eigendeformation Approach to Variational Fracture
Bernd Schmidt, Fernando Fraternali and Michael Ortiz Multiscale Modeling & Simulation 7 (3) 1237 (2009) https://doi.org/10.1137/080712568
Rate‐independent processes in viscous solids at small strains
Tomáš Roubíček Mathematical Methods in the Applied Sciences 32 (7) 825 (2009) https://doi.org/10.1002/mma.1069
A variational characterization of rate‐independent evolution
Ulisse Stefanelli Mathematische Nachrichten 282 (11) 1492 (2009) https://doi.org/10.1002/mana.200810803
Energetic formulation of nonlocal crystal plasticity
Jan Kratochvíl, Martin Kružík and Radan Sedláčček International Journal of Materials Research 100 (3) 340 (2009) https://doi.org/10.3139/146.110026
Fracture Paths from Front Kinetics: Relaxation and Rate Independence
C. J. Larsen, M. Ortiz and C. L. Richardson Archive for Rational Mechanics and Analysis 193 (3) 539 (2009) https://doi.org/10.1007/s00205-009-0216-y
Γ-limits and relaxations for rate-independent evolutionary problems
Alexander Mielke, Tomáš Roubíček and Ulisse Stefanelli Calculus of Variations and Partial Differential Equations 31 (3) 387 (2008) https://doi.org/10.1007/s00526-007-0119-4
Minimum principles for the trajectories of systems governed by rate problems
S. Conti and M. Ortiz Journal of the Mechanics and Physics of Solids 56 (5) 1885 (2008) https://doi.org/10.1016/j.jmps.2007.11.006