dr. Kosec's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT

Dr. Gregor Kosec
Parallel And Distributed Systems Laboratory
Jožef Stefan Institute, Ljubljana

"Local Meshless Numerical Method for Solving Transport Problems"

Venue: Wednesday 15 October in lecture room 134 at 3 pm

Abstract:
In the last decade, a new class of numerical methods, referred to as the 
meshless methods, is becoming popular as alternative to classical 
methods, like Finite Difference Method (FDM), Boundary Element Method 
(BEM) or Finite Element Method (FEM). A local meshless method (LMM) is 
based entirely on the approximation constructed over a local subset of 
scattered computational points and does not require any kind of special 
topological relations between computational points. The LMM can be 
formulated in a form suitable for straightforward implementation and 
further upgrade to treat anomalies such as sharp discontinues or other 
obscure situations often occurring in complex simulations. Besides 
simple formulation and implementation, the LMM also enables high 
parallel efficiency since the localization reduces inter-processor 
communication, which is often a bottleneck of parallel algorithms.

We demonstrate the method on the simulation of (i) natural convection in 
a free fluid and porous media, (ii) the solidification of a binary 
alloy, and (iii) the dynamics of charge carrier in a semiconductor 
device. The basic properties of LMM, i.e. convergence, complexity and 
intrinsic features, are assessed on the diffusion and Burgers' 
equations. The parallel efficiency of the presented LMM implementation 
is demonstrated through the speedup measurements on multicore computer 
architecture and multi GPU architecture.