Isogeometric Analysis on V-reps: First results

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. (C) 2019 Elsevier B.V. All rights reserved.


Published in:
Computer Methods In Applied Mechanics And Engineering, 355, 976-1002
Year:
Oct 01 2019
Publisher:
Lausanne, ELSEVIER SCIENCE SA
ISSN:
0045-7825
1879-2138
Keywords:
Laboratories:




 Record created 2019-08-29, last modified 2019-08-30


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