Speaker : Prof. Praveen C (TIFR CAM, Bengaluru)
Venue : PSB Seminar Room
Date and time : On 29th september, Thursday, at 10.30 am.
Title : Divergence-free methods for hyperbolic PDEs
Many hyperbolic PDE problems like Maxwell's equations governing electromagnetic waves and MHD approximation for plasma contain an intrinsic constraint on the divergence of some vector field like magnetic field. Standard numerical methods may not respect such constraints which can lead to inaccurate or totally wrong solutions, or make the methods unstable. Special techniques are needed to ensure approximate or exact preservation of these constraints and the talk will present some ideas for exactly divergence-free methods based on discontinuous Galerkin framework.