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UID:submissions.supercomputing.org_SC20_sess157_pap436@linklings.com
SUMMARY:Alias-Free, Matrix-Free and Quadrature-Free Discontinuous Galerkin
  Algorithms for (Plasma) Kinetic Equations
DESCRIPTION:Paper\n\nAlias-Free, Matrix-Free and Quadrature-Free Discontin
 uous Galerkin Algorithms for (Plasma) Kinetic Equations\n\nHakim, Juno\n\n
 Understanding fundamental kinetic processes is important for many problems
 , from plasma physics to gas dynamics. A first-principles approach to thes
 e problems requires a statistical description via the Boltzmann equation, 
 coupled to appropriate field equations. In this paper we present a novel v
 ersion of the discontinuous Galerkin (DG) algorithm to solve such kinetic 
 equations. Unlike Monte-Carlo methods we use a continuum scheme in which w
 e directly discretize the 6D phase-space using discontinuous basis functio
 ns. Our DG scheme eliminates counting noise and aliasing errors that would
  otherwise contaminate the delicate field-particle interactions. We use mo
 dal basis functions with reduced degrees of freedom to improve efficiency 
 while retaining a high formal order of convergence. Our implementation inc
 orporates a number of software innovations; use of JIT compiled top-level 
 language, automatically generated computational kernels and a sophisticate
 d shared-memory MPI implementation; to handle velocity space parallelizati
 on.\n\nTag: Applications, Linear Algebra, Scalable Computing\n\nRegistrati
 on Category: Tech Program Reg Pass
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