Consistent approximation of linear differential operators on irregularly distributed colocation points

Date

May 29, 2013

Time

5:00 PM - 6:00 PM

Speaker

Dr. Ivo F. Sbalzarini

Affiliation

MOSAIC Group, MPI-CBG (Max Planck Institute of Molecular Cell Biology and Genetics), Dresden

Series

TUD Dresdner Mathematisches Seminar

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. A. Voigt

Description

Konsistente Approximation linearer Differentialoperatoren auf irregulären Stützstellen Particle methods numerically approximate the solutions of partial differential equations on zero-dimensional, connectivity-less colocation points called "particles". Due to their Lagrangian nature and a common, unifying algorithmic framework, they have a set of interesting properties. We briefly review the foundations 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 framework that guarantees consistency on almost all particle distributions. Furthermore, we discuss the possibility of letting the colocation points self-organize in order to treat functions with spatially varying resolution requirements.

Links

• Dresdner Mathematisches Seminar
• Dr. Ivo F. Sbalzarini

Last modified: Mar 13, 2013, 3:24:42 PM