BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Exploiting analogies between gravity and electrodynamics for numer ical relativity DTSTART:20240704T143000Z DTEND:20240704T160000Z DTSTAMP:20260530T020257Z UID:14f49a40-2714-4ec4-aa84-9dce235f896b SEQUENCE:2 CREATED:20240717T120407Z DESCRIPTION:General relativity and electrodynamics are both governed by sy stems of hyperbolic equations which need to satisfy a set of elliptic cons traints throughout evolution. Approaches to solve numerically the Maxwell equations in the presence of charges has led to a variety of advantageous techniques developed over decades\, such as particle-in-cell (N-body) simu lations\, unstructured meshes and machine-precision constraint-preserving discretizations. However\, these and other techniques appear much more com plicated to implement for numerical relativity. In this talk we will explo re analogies between the Einstein and Maxwell systems that could allow num erical relativity to benefit from some of the techniques originally develo ped for numerical electrodynamics and plasma physics. These could also off er an alternative\, yet intuitive\, insight into spacetime dynamics. Final ly\, we will discuss some of the challenges that need to be overcome for a n effective numerical implementation. LAST-MODIFIED:20240717T120428Z LOCATION:Sala de Seminários do DF\, Pavilhão de Física\, 2º piso URL:http://df.vps.tecnico.ulisboa.pt/en/events/exploiting-analogies-betwee n-gravity-and-electrodynamics-for-numerical-relativity/ X-ALT-DESC;FMTTYPE=text/html:

General relativity and electrodynamics are both governed by systems of hyperbolic equations w hich need to satisfy a set of elliptic constraints throughout evolution. A pproaches to solve numerically the Maxwell equations in the presence of ch arges has led to a variety of advantageous techniques developed over decad es\, such as particle-in-cell (N-body) simulations\, unstructured meshes a nd machine-precision constraint-preserving discretizations.

Howe ver\, these and other techniques appear much more complicated to implement for numerical relativity. In this talk we will explore analogies between the Einstein and Maxwell systems that could allow numerical relativity to benefit from some of the techniques originally developed for numerical ele ctrodynamics and plasma physics.

These could also offer an alter native\, yet intuitive\, insight into spacetime dynamics. Finally\, we wil l discuss some of the challenges that need to be overcome for an effective numerical implementation.

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