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DTSTAMP:20250822T115805Z
LOCATION:Room 5.0B56
DTSTART;TZID=Europe/Stockholm:20250618T113000
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UID:submissions.pasc-conference.org_PASC25_sess172_pap131@linklings.com
SUMMARY:Towards Automated Algebraic Multigrid Preconditioner Design Using 
 Genetic Programming for Large-Scale Laser Beam Welding Simulations
DESCRIPTION:Dinesh Parthasarathy (Friedrich-Alexander-Universität Erlangen
 -Nürnberg); Tommaso Bevilacqua, Martin Lanser, and Axel Klawonn (Universit
 ät zu Köln); and Harald Köstler (Friedrich-Alexander-Universität Erlangen-
 Nürnberg)\n\nMultigrid methods are asymptotically optimal algorithms ideal
  for large-scale simulations. But, they require making numerous algorithmi
 c choices that significantly influence their efficiency. Unlike recent app
 roaches that learn optimal multigrid components using machine learning tec
 hniques, we adopt a complementary strategy here, employing evolutionary al
 gorithms to construct efficient multigrid cycles from available individual
  components.<br /><br />This technology is applied to finite element simul
 ations of the laser beam welding process. The thermo-elastic behavior is d
 escribed by a coupled system of time-dependent thermo-elasticity equations
 , leading to nonlinear and ill-conditioned systems. The nonlinearity is ad
 dressed using Newton’s method, and iterative solvers are accelerated with 
 an algebraic multigrid (AMG) preconditioner using <em>hypre</em> BoomerAMG
  interfaced via PETSc. This is applied as a monolithic solver for the coup
 led equations.<br /><br />To further enhance solver efficiency, flexible A
 MG cycles are introduced, extending traditional cycle types with level-spe
 cific smoothing sequences and non-recursive cycling patterns. These are au
 tomatically generated using genetic programming, guided by a context-free 
 grammar containing AMG rules. Numerical experiments demonstrate the potent
 ial of these approaches to improve solver performance in large-scale laser
  beam welding simulations.\n\nDomain: Engineering, Computational Methods a
 nd Applied Mathematics\n\nSession Chair: Katharina Kormann (Ruhr Universit
 y Bochum)\n\n
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