Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Stabilized finite element methods. I: Application to the advective-diffusive model
Computer Methods in Applied Mechanics and Engineering
Interpolation with exponential B-splines in tension
Geometric modelling
Sharp error bounds for interpolating splines in tension
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design - Special issue dedicated to Paul de Faget de Casteljau
Curve and surface construction using variable degree polynomial splines
Computer Aided Geometric Design
On a class of weak Tchebycheff systems
Numerische Mathematik
Boolean surfaces with shape constraints
Computer-Aided Design
Unified and extended form of three types of splines
Journal of Computational and Applied Mathematics
Quasi-interpolation in isogeometric analysis based on generalized B-splines
Computer Aided Geometric Design
| Hi-index | 7.29 |
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.