Now showing items 1-6 of 6

    • Adaptive points to estimate the Lebesgue constant on the simplex 

      Jiménez Ramos, Albert; Gargallo Peiró, Abel; Roca, Xevi (Barcelona Supercomputing Center, 2022-05)
      Conference report
      Open Access
      We present a novel adaptive sampling method to estimate the Lebesgue constant of nodal sets in n-dimensional simplices. The main application of this estimation is to assess the interpolation capabilities of a nodal ...
    • Curved geometry modeling: interpolation of subdivision features 

      Jiménez Ramos, Albert; Gargallo Peiró, Abel; Roca Navarro, Francisco Javier (Barcelona Supercomputing Center, 2021-05)
      Conference report
      Open Access
      We present a nodal interpolation method to approximate a subdivision model. The main application is to model and represent curved geometry without gaps and preserving the required simulation intent. Accordingly, the ...
    • Incorporating curvature to the boundary of linear and highorder meshes when a target geometry is unavailable 

      Jiménez Ramos, Albert (Universitat Politècnica de Catalunya, 2018-10)
      Master thesis
      Open Access
      Covenantee:   Barcelona Supercomputing Center
      In this work, two new methods are presented: first, a given linear tetrahedral volume mesh is refined in such a way that its boundary tends to an almost everywhere C^2-continuous surface, and second, a curved high-order ...
    • Interpolation of subdivision features for curved geometry modeling 

      Jiménez Ramos, Albert; Gargallo Peiró, Abel; Roca Navarro, Francisco Javier (2022-04)
      Article
      Restricted access - publisher's policy
      We present a nodal interpolation method to approximate a subdivision model. The main application is to model and represent curved geometry without gaps and preserving the required simulation intent. Accordingly, we devise ...
    • Subdivided linear and curved meshes preserving features of a linear mesh model 

      Jiménez Ramos, Albert; Gargallo Peiró, Abel; Roca Navarro, Francisco Javier (Sandia National Laboratories, 2019)
      Conference report
      Open Access
      To provide straight-edged and curved piece-wise polynomial meshes that target a unique smooth geometry while preserving the sharp features and smooth regions of the model, we propose a new fast curving method based on ...
    • Theoretical and numerical examination of a nonlinear active gel model for the actin cortex of cells 

      Jiménez Ramos, Albert (Universitat Politècnica de Catalunya, 2017-07)
      Bachelor thesis
      Open Access
      In this thesis we review some basic concepts of tensors and differential geometry and apply them to model the actin cortex, an active envelop that determines the shape and mechanical properties of animal cells. The model ...