Seminar Details
2011-05-24 (15.00) : Solving Partial Differential Equations on Arbitrary Surfaces using the Radial Basis Functions Method
At Euler building
Organized by Mathematical Engineering
Speaker :
Cécile PIRET (UCL)
Abstract :
The Radial Basis Functions (RBFs) method was introduced in the 1970s as an interpolation technique and was adapted in the 1990s to solve partial differential equations (PDEs). Although it is a fairly new technique, its advantages (amongst others, it is meshless, spectrally accurate and works in N dimensions) have made it a powerful tool to accurately and stably discretize differential operators, and thus solve PDEs on quite complex geometries. In this talk, a brief outline of the method will be given and a novel technique to solve PDEs on arbitrary surfaces via RBFs will be presented.