Igatools: An Isogeometric Analysis Library

Pauletti, M.S.; Martinelli, Massimiliano; Cavallini, Nicola; Antolín, Pablo

doi:10.1137/140955252

Cited by 34 publications

(27 citation statements)

References 31 publications

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“…The results shown in this section have been obtained using an implementation of the methodology proposed above in an in-house code built upon the isogeometric analysis library Igatools [46], the solid modeling kernels IRIT [22] and OpenCASCADE [45] and the 3D mesh generator Gmsh [25].…”

Section: Numerical Experimentsmentioning

confidence: 99%

Isogeometric Analysis on V-reps: First results

Antolín

Buffa

Martinelli

2019

Computer Methods in Applied Mechanics and Engineering

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Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the construction of isogeometric numerical methods for elliptic PDEs on trimmed geometries, seen as a special class of more general V-reps. We develop tools for approximation and local re-parameterization of trimmed elements for three dimensional problems, and we provide a theoretical framework that fully justifies our algorithmic choices. We validate our approach both on two and three dimensional problems, for diffusion and linear elasticity.

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Section: Numerical Experimentsmentioning

confidence: 99%

Isogeometric Analysis on V-reps: First results

Antolín

Buffa

Martinelli

2019

Computer Methods in Applied Mechanics and Engineering

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“…5 In version 3 we have introduced a smarter design of these classes, in particular regarding those that define the discrete spaces. With this new design, the push-forward in (2) becomes a property of the class, in such a way that discrete spaces with different push-forwards can be defined as objects of the same class.…”

Section: R Vázquez / Computers and Mathematics With Applications ( ) -mentioning

confidence: 99%

A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0

Vázquez

2016

Computers & Mathematics with Applications

149

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a b s t r a c tGeoPDEs (http://rafavzqz.github.io/geopdes) is an Octave/Matlab package for the solution of partial differential equations with isogeometric analysis, first released in 2010. In this work we present in detail the new design of the package, based on the use of Octave and Matlab classes. Compared to previous versions the new design is much clearer, and it is also more efficient in terms of memory consumption and computational time.

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“…Using a multiplecore machine (70 threads were used), the computational time was under 40 minutes in all cases. The computations were performed using the isogeometric analysis library igatools [21].…”

Section: Wing Designmentioning

confidence: 99%

Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm

Antolín

Buffa

Cohen

et al. 2019

Computer-Aided Design

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In recent years, new methods have been developed to synthesize complex porous and micro-structured geometry in a variety of ways. In this work, we take these approaches one step further and present these methods as an efficacious design paradigm. Specifically, complex micro-structure geometry can be synthesized while optimizing certain properties such as maximal heat exchange in heat exchangers, or minimal weight under stress specifications.By being able to adjust the geometry, the topology and/or the material properties of individual tiles in the microstructure, possibly in a gradual way, a porous object can be synthesized that is optimal with respect to the design specifications. As part of this work, we exemplify this paradigm on a variety of diverse applications.

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Igatools: An Isogeometric Analysis Library

Cited by 34 publications

References 31 publications

Isogeometric Analysis on V-reps: First results

Isogeometric Analysis on V-reps: First results

A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0

Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm

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