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Numerical Modeling and Simulation are increasingly used as a complementary tool to Experimental Modeling and Analysis and as a design or certification tool in engineering applications. However, after more than thirty years of scientific investigation around Adaptive Modeling and [...]

Documents published in Scipedia

  • H. Garikapati, S. Zlotnik, C. Verhoosel, E. Brummelen, P. Diez
    Computational Mechanics (2019). (Preprint) pp. 1-23

    Understanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in material properties are frequently modeled through random [...]

  • Comput. Methods Appl. Mech. Engrg., (2019). (Preprint) Vol. 120, pp. 391-432

    The paper presents a novel strategy providing fully computable upper bounds for the energy norm of the error in the context of three‐dimensional linear finite element approximations [...]

  • H. Garikapati, C. Verhoosel, E. Brummelen, S. Zlotnik, P. Diez
    Computational Geosciences (2019). (Preprint) Vol. 23 (1), pp. 81-105

    Hydraulic fracturing processes are surrounded by uncertainty, as available data is typically scant. In this work, we present a sampling-based stochastic analysis of the hydraulic [...]

  • R. García-Blanco, P. Diez, D. Borzacchiello, F. Chinesta
    Archives of Comp. Meths. Engng. (2018). (Preprint) Vol. 25 (4), pp. 1003-1026

    The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers [...]

  • P. Diez, S. Zlotnik, A. García-González, A. Huerta
    Comptes Rendus Mécanique (2018). (Preprint) Vol. 346 (7), pp. 501-514

    Proper Generalized Decomposition (PGD) is devised as a computational method to solve high-dimensional boundary value problems (where many dimensions are associated [...]

  • D. Dorribo, L. Greve, P. Diez, I. Arias, X. Larráyoz-Izcara
    Theoretical and Applied Fracture Mechanics (2018). (Preprint) Vol. 96, pp. 497-508

    Predicting the bearing capacity of resistance spot welds (RSW) during vehicle crash tests has become a crucial task for the automotive industry, since the recent introduction [...]

  • X. Zou, M. Conti, P. Diez, F. Auricchio
    Int. J. Numer. Meth. Engng. (2018). (Preprint) Vol. 113 (2), pp. 230-251

    Proper generalized decomposition (PGD) is often used for multi-query and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting [...]

  • A. Sibileau, A. García-González, F. Auricchio, S. Morganti, P. Diez
    Computational Mechanics (2018). (Preprint) Vol. 62 (4), pp. 871-891

    Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical [...]

  • B. Oliveira, J. Afonso, S. Zlotnik, P. Diez
    Geophysical Journal International (2018). (Preprint) Vol. 212 (1), pp. 345-388

    We present a conceptual and numerical approach to model processes in the Earth’s interior that involve multiple phases that simultaneously interact thermally, mechanically [...]

  • P. Diez, S. Zlotnik, A. Huerta
    Comput. Methods Appl. Mech. Engrg. (2017). (Preprint) Vol. 326, pp. 223-240

    Design optimization and uncertainty quantification, among other applications of industrial interest, require fast or multiple queries of some parametric model. The Proper [...]