IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Ninth Annual Graduate Student Mini-conference in Computational Mathematics

Conrad Clevenger
Clemson University
https://mthsc.clemson.edu/directory/view_person.py?person_id=456
Abstract

Partitioning scheme for flexible parallel adaptive geometric multigrid

  • Feb. 17, 2018
  • 11:40 a.m.
  • LeConte 412

Solving for numerical solutions of PDE systems using the Finite Element Method involves solving large, sparse linear systems. Certain Multigrid methods such as Geometric or Algebraic Multigrid, given an efficient implementation, yield optimal convergence properties either as solvers or as preconditioners for other iterative solvers such as the Conjugate Gradient method. We present such an implementation of the Geometric Multigrid v-cycle and test for optimal properties on adaptively refined meshes distributed for a parallel computation. This talk will primarily focus on the distribution scheme among processors for the cells in the multilevel hierarchy and its effect on parallel strong and weak scaling.

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