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DTSTAMP:20241120T082409Z
LOCATION:HG F 26.3
DTSTART;TZID=Europe/Stockholm:20240605T113000
DTEND;TZID=Europe/Stockholm:20240605T133000
UID:submissions.pasc-conference.org_PASC24_sess126@linklings.com
SUMMARY:MS6G - Modern PDE Discretization Methods and Solvers in a Non-Smoo
 th World
DESCRIPTION:Minisymposium\n\nThis minisymposium will explore the tension b
 etween high-order discretisation methods for PDEs and the fact that many p
 hysical phenomena are non-smooth. We will also investigate connections to 
 machine learning, such as the use of reduced precision arithmetics in both
  domains. High order discretisations in space and time can make optimal us
 e of FLOP-bound exascale hardware and have the potential to unlock additio
 nal parallelism. However, it is an open question how these methods can be 
 applied to time-dependent PDEs with elliptic constraints. Off-the-shelf pr
 econditioners are not sufficient and multigrid methods are being developed
  to solve the resulting large sparse linear systems of equations. Implemen
 ting advanced reliable and performance portable PDE based simulation tools
  requires the combined expertise of specialists from different domains. Re
 al-life codes are starting to use novel discretisation techniques: the UK 
 Met Office explores the solution of the equations of atmospheric fluid dyn
 amics with hybridised finite elements, non-nested multigrid preconditioner
 s and parallel-in-time methods. The ADER-DG ExaHype engine is being extend
 ed to include elliptic constraints and support implicit timestepping for a
 strophysics simulations. A discussion session will explore how the advanta
 ges of sophisticated PDE solvers and Machine Learning can be combined prod
 uctively.\n\nHigh Performance Computing for Different First Order Formulat
 ions of the Einstein Equations\n\nThe solution of the Einstein--Euler equa
 tions by the vast majority of numerical codes is still based on traditiona
 l finite difference schemes\nfor the Einstein sector, while it relies on c
 onservative schemes for the matter part. Discontinuous Galerkin  (DG) sche
 mes, in spite of many potential\nadvanta...\n\n\nOlindo Zanotti (Universit
 y of Trento)\n---------------------\nDiscussion Session\n\nThis session wi
 ll be an open discussion of how the respective advantages of sophisticated
  traditional simulation techniques and ML algorithms can be combined produ
 ctively.\n\n\nEike Mueller (University of Bath) and Tobias Weinzierl (Durh
 am University)\n---------------------\nParallel in Time Algorithms for Geo
 physical Fluid Dynamics: Challenges Posed by Non-Smooth Physics\n\nParalle
 l-in-time algorithms offer a route to continued parallel scaling for simul
 ation of space and time dependent partial differential equations once spat
 ial parallelism is saturated. The equations relevant to geophysical fluid 
 dynamics pose particular challenges for the convergence of parallel-in-...
 \n\n\nJemma Shipton (University of Exeter)\n---------------------\nMixed-P
 recision in High-Order Methods: Studying the Impact of Numerical Precision
  on the ADER-DG Algorithm\n\nWhile most scientific applications are still 
 computed in double precision, mixed-precision algorithms are becoming more
  commonplace as a way to improve the performance of an algorithm without o
 verly increasing the resulting error. The impact of numerical precision on
  the results and stability of an ...\n\n\nMarc Marot-Lassauzaie and Michae
 l Bader (Technical University of Munich)\n\nDomain: Climate, Weather, and 
 Earth Sciences, Engineering, Physics, Computational Methods and Applied Ma
 thematics\n\nSession Chairs: Eike Mueller (University of Bath) and Tobias 
 Weinzierl (Durham University)
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