Name
Abstract | ||
|---|---|---|
In this paper, the efficiency in mesh updating (r-adaptivity) of the Transfinite Mean value Interpolation (TMI) and its generalization (k-TMI) are compared on three standardized problems to the well-known Inverse Distance Weighted interpolation (IDW) and Radial Basis Function interpolation (RBF) for unstructured data points and the new k-Transfinite Barycentric Interpolation (k-TBI) for structured data points such as, for instance, curves or surfaces in 3D. This is achieved by introducing a dynamical version of these interpolations via an ordinary differential equation that can be solved by standard ODE methods that are more economical than, for instance, solving vector partial differential equations as in the pseudo-solid method. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.jcp.2020.109248 | Journal of Computational Physics |
Keywords | Field | DocType |
Transfinite Mean Value and Barycentric Interpolations,Arbitrary Lagrangian Eulerian,Finite element,Navier-Stokes | Applied mathematics,Inverse,Ordinary differential equation,Mathematical analysis,Interpolation,Transfinite number,Partial differential equation,Data model,Mathematics,Ode,Barycentric coordinate system | Journal |
Volume | ISSN | Citations |
407 | 0021-9991 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| André Garon | 1 | 6 | 3.47 |
| Michel Delfour | 2 | 2 | 6.19 |