Description: | [DMS seminar] Mainak Mandal (Institute for Scientific Computing Technical University of Dresden) -- Structure preserving finite volume schemes for aggregation-diffusion equations. |

Date: | Wednesday, Dec 20, 2023 |

Time: | 3 p.m. - 4 p.m. |

Venue: | G09, A P C Ray |

Details: | Non-local aggregation-diffusion equations are used to describe large groups of particles at the macro scale. In particular, these equations are used to model a biological system of interacting species involving dispersal, drift, and non-local interactions. The existence and uniqueness of solution to these degenerate Parabolic Partial Differential Equations are well known in literature. I will present the construction of a time continuous Finite Volume Scheme that preserves the structural properties of the equations such as energy dissipation and non-negativity of density, discretized on general meshes in any dimension. Convergence results for the scheme, hinges on a concept called Compensated Compactness, which will be presented as a modification to the famous Aubin-Lions Lemma. Finally, we will look at a few interesting insights into implementation of the scheme and parallelization on HPC infrastructure. |

Calendar: | Seminar Calendar (entered by sayan.bagchi) |

Back to Calendar Delete this event Edit this event Upload Event Pics Copy this event View Slide