, , p.75
,
,
114 5.3.1 Revisiting PGD through a Poisson's problem, p.115 ,
,
Observation of gravitational waves from a binary black hole merger. Physical review letters, vol.116, p.61102, 2016. ,
URL : https://hal.archives-ouvertes.fr/in2p3-01273200
Advanced strategies for the separated formulation of problems in the Proper Generalized Decomposition framework, p.15, 2016. ,
URL : https://hal.archives-ouvertes.fr/tel-01926078
A simulation app based on reduced order modeling for manufacturing optimization of composite outlet guide vanes, Advanced Modeling and Simulation in Engineering Sciences, vol.4, issue.1, p.31, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01925863
Threedimensional simulation of aluminium extrusion by the alpha-shape based natural element method, Computer Methods in Applied Mechanics and Engineering, vol.195, p.106, 2006. ,
Recent advances in the meshless simulation of aluminium extrusion and other related forming processes, Archives of Computational Methods in Engineering, vol.13, issue.1, p.106, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01007236
Meshless methods with application to metal forming, Computer Methods in Applied Mechanics and Engineering, vol.195, p.106, 2006. ,
DOI : 10.1016/j.cma.2004.10.017
URL : https://hal.archives-ouvertes.fr/hal-00287051
An 'empirical interpolation'method: application to efficient reduced-basis discretization of partial differential equations, Comptes Rendus Mathematique, vol.339, issue.9, p.13, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00021702
Dynamic programming and lagrange multipliers, Proceedings of the National Academy of Sciences, vol.42, issue.10, p.15, 1956. ,
DOI : 10.1073/pnas.42.10.767
URL : http://www.pnas.org/content/42/10/767.full.pdf
A review of extended/generalized finite element methods for material modeling. Modelling and Simulation in Materials, Science and Engineering, vol.17, issue.4, p.35, 2009. ,
Arbitrary discontinuities in finite elements, International Journal for Numerical Methods in Engineering, vol.50, issue.4, p.35, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-01005275
A survey of model reduction methods for parametric systems, p.7, 2013. ,
Partial realization of descriptor systems, Systems & Control Letters, vol.55, issue.11, p.15, 2006. ,
Three-dimensional simulation of a laser surface treatment through steady state computation in the heat source's comoving frame, In Mechanical Effects of Welding, p.88, 1992. ,
Finite element simulation of heat transfer, p.65, 2013. ,
Advanced simulation of models defined in plate geometries: 3d solutions with 2d computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, p.107, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01462825
On the fully 3d simulations of thermoelastic models defined in plate and shell geometries, European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique, vol.21, issue.1-2, p.23, 2012. ,
Abaques numériques: Visualisation et post-traitement de solutions à variable séparée. application au temps réel non linéaire, vol.53, p.95, 2013. ,
Reduced order modelling for efficient numerical optimisation of a hot-wall chemical vapour deposition reactor, International Journal of Numerical Methods for Heat and Fluid Flow, issue.4, p.11, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01925857
Non-intrusive sparse subspace learning for parametrized problems. Archive of Computational Methods in Engineering, p.82, 2017. ,
DOI : 10.1007/s11831-017-9241-4
URL : https://hal.archives-ouvertes.fr/hal-01925360
Nonlinear model reduction via discrete empirical interpolation, SIAM Journal on Scientific Computing, vol.32, issue.5, p.13, 2010. ,
DOI : 10.1137/090766498
URL : https://scholarship.rice.edu/bitstream/1911/70218/1/ChaturantabutS.pdf
The proper generalized decomposition for advanced numerical simulations: a primer, p.107, 2013. ,
First steps towards an advanced simulation of composites manufacturing by automated tape placement, International journal of material forming, vol.7, issue.1, p.31, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01763316
Pgd-based computational vademecum for efficient design, optimization and control, Archives of Computational Methods in Engineering, vol.20, issue.1, p.90, 2013. ,
DOI : 10.1007/s11831-013-9080-x
URL : https://hal.archives-ouvertes.fr/hal-01515083
Approximation of high-dimensional parametric pdes, Acta Numerica, vol.24, pp.1-159, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01118851
Improving the k-compressibility of hyper reduced order models with moving sources: applications to welding and phase change problems, Computer Methods in Applied Mechanics and Engineering, vol.274, p.30, 2014. ,
Integration of pgdvirtual charts into an engineering design process, Computational Mechanics, issue.4, p.18, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01647844
Meshless methods for the simulation of material forming, International Journal of Material Forming, vol.8, issue.1, p.112, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01709019
Proper Generalized Decompositions: An Introduction to Computer Implementation with Matlab, p.19, 2016. ,
Dynamic data driven applications systems: A new paradigm for application simulations and measurements, International Conference on Computational Science, p.7, 2004. ,
Computational methods for plasticity: theory and applications, p.78, 2011. ,
Lowdimensional models for complex geometry flows: Application to grooved channels and circular cylinders, Physics of Fluids A: Fluid Dynamics, vol.3, issue.10, p.7, 1991. ,
An apropos kinematic framework for the numerical modeling of friction stir welding, Computers and Structures, vol.117, issue.0, p.105, 2013. ,
A finite element method for crack growth without remeshing, International journal for numerical methods in engineering, vol.46, issue.1, p.40, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-01004829
Finite element methods for flow problems, vol.115, p.119, 2003. ,
, Fundamentals., chapter 14: Arbitrary lagrangian-eulerian methods, vol.1, p.106, 2004.
Prediction of welding residual distortions of large structures using a local/global approach, Journal of mechanical science and technology, vol.21, issue.10, p.67, 2007. ,
Analysis and applications of a generalized finite element method with global-local enrichment functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6, p.40, 2008. ,
Hp clouds-an hp meshless method. Numerical methods for partial differential equations, vol.12, p.37, 1996. ,
Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models, International Journal for Numerical Methods in Engineering, vol.102, issue.5, p.13, 2015. ,
A simple and robust moving mesh technique for the finite element simulation of Friction Stir Welding, Journal of Computational and Applied Mathematics, vol.246, p.106, 2013. ,
The s-version of the finite element method, Computers & Structures, vol.43, issue.3, p.37, 1992. ,
URL : https://hal.archives-ouvertes.fr/hal-01842172
A first course in finite elements, p.36, 2007. ,
Multiscale enrichment based on partition of unity, International Journal for Numerical Methods in Engineering, vol.62, issue.10, p.37, 2005. ,
Proper orthogonal decomposition based turbulence modeling, Instability, Transition, and Turbulence, pp.498-510, 1992. ,
3d modeling of squeeze flows occurring in composite laminates, International Journal of Material Forming, vol.8, issue.1, p.23, 2015. ,
A double ellipsoid finite element model for welding heat sources. International Institute of Welding, p.87, 1985. ,
Computational welding mechanics, p.88, 2006. ,
Matrix computations, vol.3, p.14, 2012. ,
Real-time direct integration of reduced solid dynamics equations, International Journal for Numerical Methods in Engineering, vol.99, issue.9, p.69, 2014. ,
Modelling the evolution of microstructure in the heat-affected zone of steady state welds. Canadian metallurgical quarterly, vol.32, p.88, 1993. ,
A 3D numerical simulation of different phases of friction stir welding. Modelling and Simulation in, Materials Science and Engineering, vol.17, issue.7, p.106, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00509207
Analysis and improvements of global-local enrichments for the generalized finite element method, Computer Methods in Applied Mechanics and Engineering, vol.245, p.49, 2012. ,
Dimensional hyper-reduction of nonlinear finite element models via empirical cubature, Computer Methods in Applied Mechanics and Engineering, vol.313, p.30, 2017. ,
A reduced-order model of mould heat transfer in the continuous casting of steel, Applied Mathematical Modelling, vol.40, issue.19, p.30, 2016. ,
Advanced engineering methods for assessing welding distortion in aero-engine assemblies, IOP Conference Series: Materials Science and Engineering, vol.26, p.66, 2011. ,
Numerical solution of partial differential equations by the finite element method. Courier Corporation, p.42, 2012. ,
Plasticity-based distortion analysis for fillet welded thin plate Tjoints, p.67, 2003. ,
Tensor decompositions and applications, SIAM review, vol.51, issue.3, p.16, 2009. ,
New algorithms: mechanical framework and development, Compte rendu de l'académie des Sci, vol.300, p.15, 1985. ,
Atmospheric turbulence and radio wave propagation, vol.790, p.7, 1967. ,
Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods, J. Fluids Eng, vol.124, issue.1, p.12, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00798326
Updated Lagrangian free surface flow simulations with Natural Neighbour Galerkin methods, International Journal for Numerical Methods in Engineering, vol.60, issue.13, p.106, 2004. ,
On Generalized Finite Element Methods, p.38, 1995. ,
The partition of unity finite element method: basic theory and applications. Computer methods in applied mechanics and engineering, vol.139, p.37, 1996. ,
Improved accuracy of the inherent shrinkage method for fast and more reliable welding distortion calculations, Journal of Materials Engineering and Performance, vol.25, issue.7, p.67, 2016. ,
Solving thermal and phase change problems with the extended finite element method. Computational mechanics, vol.28, p.40, 2002. ,
Friction stir welding and processing, Materials Science and Engineering: R: Reports, vol.50, issue.1, p.122, 2005. ,
Extended finite element method for cohesive crack growth, Engineering fracture mechanics, vol.69, issue.7, p.35, 2002. ,
Realtime simulation of surgery by reduced-order modeling and x-fem techniques. International journal for numerical methods in biomedical engineering, vol.28, p.37, 2012. ,
A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.23, p.18, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00455635
Gravitational waves from the collapse and bounce of a stellar core in tensor-scalar gravity, The Astrophysical Journal, vol.533, issue.1, p.392, 2000. ,
A new cloud-based hp finite element method, Computer methods in applied mechanics and engineering, vol.153, issue.1-2, p.37, 1998. ,
URL : https://hal.archives-ouvertes.fr/hal-01722149
Reduced basis approximation and a posteriori error estimation for parametrized partial differential equations, p.12, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-01722593
Toward a real time control of toolpath in milling processes, In Key Engineering Materials, vol.554, p.31, 2013. ,
An efficient reduced simulation of residual stresses in composite forming processes, International Journal of Material Forming, vol.3, issue.2, p.31, 2010. ,
A comparative study on the performance of meshless approximations and their integration, Computational Mechanics, vol.48, issue.2, p.108, 2011. ,
Mathematical modelling and numerical simulation of the cardiovascular system, Handbook of numerical analysis, vol.12, p.3, 2004. ,
Reduced basis methods for partial differential equations: an introduction, vol.92, p.12, 2015. ,
Eigenspannungen und verzug beim schweissen, rechen-und messverfahren, fachbuchreihe schweisstechnik, p.88, 2000. ,
Selective proper orthogonal decomposition model reduction for forming simulations, vol.13, p.30, 2013. ,
Identification of full profile disturbance models for sheet forming processes, AIChE journal, vol.43, issue.3, p.30, 1997. ,
The theory of moving sources of heat and its application to metal treatments, p.87, 1946. ,
Hyper-reduction of mechanical models involving internal variables, International Journal for Numerical Methods in Engineering, vol.77, issue.1, p.30, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00359157
Energy sources for welding, Revista de Soldadura, vol.6, issue.3, p.87, 1976. ,
Model reduction for cold rolling processes. steel research international, vol.85, p.30, 2014. ,
Thermo-elasto-plastic finite element analysis of quasi-state processes in eulerian reference frames, International journal for numerical methods in engineering, vol.53, issue.7, p.90, 2002. ,
Model order reduction methods applied to a welding model, Proceedings of the Institution of Mechanical Engineers, vol.226, p.30, 2012. ,
Computational inelasticity, vol.7, p.93, 2006. ,
Quadrature and interpolation formulas for tensor products of certain classes of functions, Dokl. Akad. Nauk SSSR, vol.4, p.29, 1963. ,
A new local-global approach for the modelling of welded steel component distortions. Book-Institute Of Materials, vol.784, p.67, 2002. ,
The design and analysis of the generalized finite element method, Computer methods in applied mechanics and engineering, vol.181, issue.1, p.37, 2000. ,
Numerical simulation of weld pool geometry in laser beam welding, Journal of Physics D: Applied Physics, vol.33, issue.6, p.88, 2000. ,