Consistent approximation of linear differential operators on irregularly distributed colocation points

Datum

29.05.2013

Zeit

17:00 - 18:00

Sprecher

Dr. Ivo F. Sbalzarini

Zugehörigkeit

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

Serie

TUD Dresdner Mathematisches Seminar

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Prof. Dr. A. Voigt

Beschreibung

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

Letztmalig verändert: 13.03.2013, 15:24:42