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  • Goal-oriented adaptivity using unconventional error representations for the multi-dimensional Helmholtz equation 

    Darrigrand V.; Rodríguez-Rozas A.; Muga I.; Pardo D.; Romkes A.; Prudhomme S. (International Journal for Numerical Methods in Engineering, 2017-06-27)
    In goal‐oriented adaptivity, the error in the quantity of interest is represented using the error functions of the direct and adjoint problems. This error representation is subsequently bounded above by element‐wise error ...
  • Refined Isogeometric Analysis for a Preconditioned Conjugate Gradient Solver 

    Garcia D.; Pardo D.; Dalcin L.; Calo V.M. (Computer Methods in Applied Mechanics and Engineering, 2018-06-15)
    Starting from a highly continuous Isogeometric Analysis (IGA) discretization, refined Isogeometric Analysis (rIGA) introduces $C^0$ hyperplanes that act as separators for the direct LU factorization solver. As a result, ...
  • On numerical quadrature for $C^1$ quadratic Powell-Sabin 6-split macro-triangles 

    Bartoň M.; Kosinka J. (Journal of Computational and Applied Mathematics, 2018-08-01)
    The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a larger space of functions, namely the $C^1$ cubic Clough-Tocher spline space over a macro-triangle if and only if the ...
  • Defects in Nematic Shells: a Gamma-convergence discrete-to-continuum approach 

    Canevari G.; Segatti A. (Archive for Rational Mechanics and Analysis, 2018-07)
    In this paper we rigorously investigate the emergence of defects on Nematic Shells with a genus different from one. This phenomenon is related to a non-trivial interplay between the topology of the shell and the alignment ...
  • Hölder equivalence of complex analytic curve singularities 

    Fernandes A.; Sampaio J. E.; Silva J. P. (Bulletin of the London Mathematical Society, 2018-08-06)
    We prove that if two germs of irreducible complex analytic curves at $0\in\mathbb{C}^2$ have different sequence of characteristic exponents, then there exists $0<\alpha<1$ such that those germs are not $\alpha$-H\"older ...

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