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Studies in applied mathematics (Cambridge), ISSN 0022-2526, 2019, Volume 142, Issue 3, pp. 336 - 358
.... From the mathematical point of view, the hydrodynamic form can be seen as the Euler–Lagrange equations for a Lagrangian submitted to a differential constraint corresponding to the mass conservation law... 
Godunov‐type methods | augmented Lagrangian | hyperbolic equations | nonlinear Schrödinger equation | Godunov-type methods | FLUIDS | MATHEMATICS, APPLIED | BOUNDARY-CONDITIONS | LIQUID | nonlinear Schrodinger equation | SHOCK-WAVES | WATER
Journal Article
International journal of damage mechanics, ISSN 1056-7895, 1/2018, Volume 27, Issue 1, pp. 138 - 175
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2014, Volume 271, pp. 69 - 85
In the modeling of pressurized fractures using phase-field approaches, the irreversibility of crack growth is enforced through an inequality constraint on the temporal derivative of the phase-field function... 
Variational fracture | Finite elements | Phase-field | Iterative solution | Augmented Lagrangian | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | HYDRAULIC FRACTURE | ENGINEERING, MULTIDISCIPLINARY | Analysis | Methods | Algorithms | Fracture mechanics | Mathematical analysis | Inequalities | Mathematical models | Temporal logic | Three dimensional | Crack propagation
Journal Article
Lecture Notes in Electrical Engineering, ISSN 1876-1100, 2018, Volume 434, pp. 41 - 50
Conference Proceeding
Computers and Chemical Engineering, ISSN 0098-1354, 02/2016, Volume 85, pp. 76 - 83
.... In this paper, we propose an augmented Lagrangian interior-point approach for general NLP problems that solves in parallel on a Graphics processing unit (GPU... 
Augmented Lagrangian method | Parallel programming | Nonlinear programming | GPU | Interior-point method | ENGINEERING, CHEMICAL | PRECONDITIONERS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | IMPLEMENTATION | SYSTEMS | ALGORITHMS | SOLVERS | Linear systems | Algorithms | Chemical engineering | Graphics processing units | Nonlinearity | Architecture (computers) | Optimization
Journal Article
The International Journal of Advanced Manufacturing Technology, ISSN 0268-3768, 9/2012, Volume 62, Issue 1, pp. 183 - 203
Journal Article
Journal of optimization theory and applications, ISSN 1573-2878, 2009, Volume 144, Issue 2, pp. 275 - 290
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2018, Volume 114, Issue 11, pp. 1179 - 1191
... from the primal variable), an approach first proposed by Barbosa and Hughes for the linear boundary multiplier method. A combination of the multiplier and penalty approaches... 
Lagrange multiplier | augmented Lagrangian | membrane | stabilization | contact | Galerkin least squares | SHELL EQUATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | FINITE-ELEMENT-METHOD | Finite element method | Galerkin method | Nonlinear programming | Elastic deformation | Elastic limit
Journal Article
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