In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously ...

There has recently been a considerable activity in developing adaptive methods for the selection of primal constraints for BDDC algorithms and, in particular, for BDDC deluxe variants. The primal constraints of a BDDC or ...

In this work, we present an eXtended Geometry Independent Field approximaTion (X-GIFT) formulation for cracked Kirchhoff-Love plates. The plate geometry is modeled by Non-Uniform Rational B-Splines (NURBS) while the solution ...

We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space ...

Se contempla el desarrollo, análisis e implementación de métodos numéricos para ecuaciones diferenciales, tanto sobre dominios tradicionales de Rn, como sobre superficies y fractales, y también ecuaciones de evolución de ...

This paper presents an approach to generalize the concept of isogeometric analysis by allowing different spaces for the parameterization of the computational domain and for the approximation of the solution field. The ...

We introduce a framework for spline spaces of hierarchical type, based on a parent–children relation, which is very convenient for the analysis as well as the implementation of adaptive isogeometric methods. This framework ...

Both the CAD software and FEM software have a significant impact on engineering nowadays. Even though both are powerful tools for design and analysis, the main drawback is that CAD geometries and Finite Element models do ...

The following investigation presents the design and development proposal for a kinetic active bending structure, which integrates the high flexural deformations in kinematic systems, making the structure have a high ...

En el presente trabajo se optimiza la resistencia de carga a tracción y hermeticidad de una conexión roscada API 3 1/2 NU, adaptando su geometría inicial y realizando cambios dimensionales de la conexión a través de una ...