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DTSTAMP:20210916T132451Z
LOCATION:Lise Girardin
DTSTART;TZID=Europe/Stockholm:20210707T113000
DTEND;TZID=Europe/Stockholm:20210707T120000
UID:submissions.pasc-conference.org_PASC21_sess145_msa164@linklings.com
SUMMARY:hyper.deal: A discontinuous Galerkin library for High-Dimensional 
 Partial Differential Equations and its Application to the Vlasov Equation
DESCRIPTION:Minisymposium\n\nhyper.deal: A discontinuous Galerkin library 
 for High-Dimensional Partial Differential Equations and its Application to
  the Vlasov Equation\n\nKormann, Münch, Kronbichler, Garnelo Abellanas\n\n
 In this talk, we will present the efficient, matrix-free finite-element li
 brary hyper.deal for solving partial differential equations in two to six 
 dimensions with high-order discontinuous Galerkin methods. It builds upon 
 the low-dimensional finite-element library deal.II to create complex low-d
 imensional meshes and to operate on them individually. These meshes are co
 mbined via a tensor product on the fly and the library provides new specia
 l-purpose highly optimized matrix-free functions exploiting domain decompo
 sition as well as shared memory via MPI-3.0 features. Both node-level perf
 ormance analyses and strong/weak-scaling studies on up to 147,456 CPU core
 s confirm the efficiency of the implementation. Results of the library hyp
 er.deal are reported for high-dimensional advection problems and for the s
 olution of the Vlasov–Poisson equation in up to 6D phase space.\n\nD
 omain: CS and Math, Physics
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