Prof. Dr. Ivo SBALZARINI (MOSAIC, ETH Zurich): Discretization-corrected particle methods for adaptive multi-resolution simulations of PDEs on parallel computers

Academic or specialist Colloquium / Congress / Forum

Particle methods discretize the solutions of PDEs onto zero-dimensional,
connectivity-less colocation points called ""particles"". Due to their
Lagrangian nature and a common, unifying algorithmic framework, they have a
set of unique properties. We briefly review the basics of particle-based
function and operator approximation and highlight some of the current
limitations for consistency and convergence on parabolic problems. We then
present a formal discretization-correction framework that restores
consistency on almost all particle distributions. Furthermore, we discuss
ongoing work in using these numerical schemes for multi-resolution
simulations on distributed-memory parallel computers.

[Invited by J-P. Gabriel and A. Janka]

When? 05.10.2010 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics