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Model order reduction is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance is achieved by means of the off-line solution of a (high dimensional) parametric problem that provides a sort of response surface or computational vademecum. This solution is then(More)
This work is devoted to present the design and implementation of Alfa-1, a simulated computer with educational purposes. The DEVS formalism was used to attack the complexity of the design, allowing the definition of individual components that can be lately integrated into a modelling hierarchy. The tool is designed for the use in Computer Architecture and(More)
When applied to diffusion problems in a multiphase setup, the popular XFEM strategy suffers from an inaccurate representation of the local fluxes in the vicinity of the interface. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of(More)
The proper generalized decomposition (PGD) requires separability of the input data (e.g. physical properties, source term, boundary conditions, initial state). In many cases the input data is not expressed in a separated form and it has to be replaced by some separable approximation. These approximations constitute a new error source that, in some cases,(More)
Error estimation for crack simulations using the XFEM.,s u b m i t t e dt oI n t. An adaptive multiscale method for crack propagation and crack coalescence.,s u b m i t t e dt oI n t. Enforcing interface flux continuity in enhanced XFEM: stability analysis Pedro D ´ ıez (joint work with Sergio Zlotnik and Régis Cottereau) XFEM is found to be an efficient(More)
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