BEGIN:VCALENDAR VERSION:2.0 PRODID:-//CERN//INDICO//EN BEGIN:VEVENT SUMMARY:Physics-informed neural networks for solar magnetic field simulati ons DTSTART;VALUE=DATE-TIME:20230512T094500Z DTEND;VALUE=DATE-TIME:20230512T100000Z DTSTAMP;VALUE=DATE-TIME:20240704T115655Z UID:indico-contribution-350@meetings.aip.de DESCRIPTION:Speakers: Robert Jarolim ()\nPhysics-informed neural networks (PINNs) provide a novel approach for numerical simulations\, tackling chal lenges of discretization and enabling seamless integration of noisy data a nd physical models (e.g.\, partial differential equations). In this presen tation\, we highlight the new opportunities for solar magnetic field model ling that are enabled through physics-informed machine learning.\nWe prese nt a novel approach for coronal magnetic field extrapolation using physics informed neural networks. The neural network is optimized to match observ ations of the photospheric magnetic field vector at the bottom-boundary\, while simultaneously satisfying the force-free and divergence-free equatio ns in the entire simulation volume. We demonstrate that our method can acc ount for noisy data and deviates from the physical model where the force-f ree magnetic field assumption cannot be satisfied.\nWe utilize meta-learni ng concepts to simulate the evolution of the active region 11158. Our simu lation of 5 days of observations at full cadence\, requires about 12 hours of total computation time. The derived evolution of the free magnetic ene rgy and helicity in the active region\, shows that our model captures flar e signatures\, and that the depletion of free magnetic energy spatially al igns with the observed EUV emission. With this we present the first method that can perform realistic magnetic field extrapolations in quasi real-ti me\, which enables advanced space weather monitoring. \nWe conclude with a n outlook on our ongoing work where we extend this approach to create a ne w class of MHD simulations\, that can flexibly incorporate additional obse rvational constraints and perform fast computations.\n\nhttps://meetings.a ip.de/event/24/contributions/350/ LOCATION:Haus H\, Telegrafenberg URL:https://meetings.aip.de/event/24/contributions/350/ END:VEVENT END:VCALENDAR