Isogeometric analysis in advection-diffusion problems: Tension splines approximation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article; Proceedings Paper

Manni, Carla¹  Pelosi, Francesca¹  Sampoli, M. Lucia² 

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00173 Rome, Italy

[2] Univ Siena, Dipartimento Sci Matemat & Informat, I-53100 Siena, Italy

关键词: Advection-diffusion problems;    Isogeometric Analysis;    Variable degree splines;    Exponential splines;    Splines in tension;   

DOI  :  10.1016/j.cam.2011.05.029

来源: Elsevier

【 摘 要 】

We present a novel approach, within the new paradigm of isogeometric analysis introduced by Hughes et al. (2005) [6], to deal with advection dominated advection-diffusion problems. The key ingredient is the use of Galerkin approximating spaces of functions with high smoothness, as in IgA based on classical B-splines, but particularly well suited to describe sharp layers involving very strong gradients. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free