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h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
(Elsevier Ltd, 2019)
© 2019 Elsevier Ltd In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic problems, modeled by the Helmholtz equation. Solutions of the Helmholtz equation have two features: global oscillations ...
Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff-Love plates
(Elsevier, 2020)
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 ...
Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to geometry-independent field approximaTion (GIFT)
(Wiley, 2018-06)
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 ...
Spline-based methods with adaptive refinement for problems of acoustics and fracture mechanics of thin plates
(Universidad de Chile, 2018)
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 ...
Applications of generalized isogeometric analysis to problems of two-dimensional steady-state heat conduction
(Universidad de Chile, 2017)
El método de aproximación de campo de geometría independiente (GIFT) introducido recientemente en [1] como una extensión del análisis isogeométrico (IGA), permite diferentes bases para la parametrización de la geometría y ...