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A cohesive crack propagation model: Mathematical theory and numerical solution
1.  Applied Mathematics II, Martensstr. 3, D91054 Erlangen, Germany, Germany 
2.  Chair of Applied Mechanics, Egerlandstr. 5, D91058 Erlangen, Germany 
3.  Applied Mathematics II, Martensstr. 3, D91058 Erlangen, Germany 
References:
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References:
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Jiayu Han. Nonconforming elements of class $L^2$ for Helmholtz transmission eigenvalue problems. Discrete & Continuous Dynamical Systems  B, 2018, 23 (8) : 31953212. doi: 10.3934/dcdsb.2018281 
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Tan BuiThanh, Omar Ghattas. Analysis of the Hessian for inverse scattering problems. Part III: Inverse medium scattering of electromagnetic waves in three dimensions. Inverse Problems & Imaging, 2013, 7 (4) : 11391155. doi: 10.3934/ipi.2013.7.1139 
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Tianxiao Wang. Characterizations of equilibrium controls in time inconsistent meanfield stochastic linear quadratic problems. I. Mathematical Control & Related Fields, 2019, 9 (2) : 385409. doi: 10.3934/mcrf.2019018 
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Anass Belcaid, Mohammed Douimi, Abdelkader Fassi Fihri. Recursive reconstruction of piecewise constant signals by minimization of an energy function. Inverse Problems & Imaging, 2018, 12 (4) : 903920. doi: 10.3934/ipi.2018038 
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Riccardo Adami, Diego Noja, Nicola Visciglia. Constrained energy minimization and ground states for NLS with point defects. Discrete & Continuous Dynamical Systems  B, 2013, 18 (5) : 11551188. doi: 10.3934/dcdsb.2013.18.1155 
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Sanming Liu, Zhijie Wang, Chongyang Liu. Proximal iterative Gaussian smoothing algorithm for a class of nonsmooth convex minimization problems. Numerical Algebra, Control & Optimization, 2015, 5 (1) : 7989. doi: 10.3934/naco.2015.5.79 
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YuNing Yang, Su Zhang. On linear convergence of projected gradient method for a class of affine rank minimization problems. Journal of Industrial & Management Optimization, 2016, 12 (4) : 15071519. doi: 10.3934/jimo.2016.12.1507 
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Jie Sun, Honglei Xu, Min Zhang. A new interpretation of the progressive hedging algorithm for multistage stochastic minimization problems. Journal of Industrial & Management Optimization, 2017, 13 (5) : 18. doi: 10.3934/jimo.2019022 
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