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
Manni, C., Pelosi, F., Sampoli, M.L. (2011). Isogeometric analysis in advection-diffusion problems: Tension splines approximation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 236(4), 511-528 [10.1016/j.cam.2011.05.029].
Isogeometric analysis in advection-diffusion problems: Tension splines approximation
PELOSI F;SAMPOLI, MARIA LUCIA
2011-01-01
Abstract
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
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https://hdl.handle.net/11365/10345
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